Journal of Sound and Vibration最新文献

英文中文

Modeling of bolted connection characteristics and nonlinear response analysis of a rotor system under the effect of bolted connection and maneuver loads

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-17 DOI: 10.1016/j.jsv.2025.118956

Wujiu Pan , Junkai Hao , Junyi Wang , Jianwen Bao , Xianjun Zeng , Peng Nie

Bolted connections have the advantages of simple structure, strong operability, convenient installation, and good connection rigidity, making them widely used in rotor connection structures of aircraft engines. This paper first thoroughly analyzes the transmission path of internal forces in bolted connection structures, calculates the stiffness of the connected parts, thread stiffness, bolt stiffness, and contact surface stiffness, and establishes an equivalent stiffness model for bolted connections. Then, considering the maneuver loads of horizontal yaw and the nonlinear Hertz contact force of rolling bearings, a dynamic model of the rotor system under the coupling effect of bolted connection and maneuver loads was proposed. Finally, the Newmark- β numerical method was used to solve the system response, and the effects of equivalent connection stiffness and maneuver loads of bolted connections on the overall system were studied. The research results indicate that: The equivalent stiffness of bolted connection reduces the overall stiffness of the shaft to a certain extent, and nonlinear response occurs near the critical speed. When the speed exceeds the critical speed, the system enters complex nonlinear motion. The system with equivalent stiffness of bolted connections enters twice the cycle later than the system without equivalent stiffness of bolted connections. As the equivalent stiffness of bolted connection increases, the nonlinearity of the system weakens. At the same time, it is accompanied by the following changes: the period doubling bifurcation point shifts backward. The critical speed of the system increases. The low-frequency component decreases and the frequency decreases. In the horizontal yaw maneuver flight state, the system generates rich nonlinear dynamic phenomena such as period doubling, quasi period, and chaotic motion near twice the critical speed. As the maneuver loads G increases, the main resonance speed increases, indicating that the presence of the maneuver loads increases the stiffness of the shaft. The vibration of the rotor significantly increases, which may cause friction between the rotor and stator in the horizontal direction. This paper provides a basis for predicting the nonlinear response of bolted rotor system under maneuver loads, in order to provide reference for efficient and accurate research on the dynamic characteristics of bolted structures.

{"title":"Modeling of bolted connection characteristics and nonlinear response analysis of a rotor system under the effect of bolted connection and maneuver loads","authors":"Wujiu Pan , Junkai Hao , Junyi Wang , Jianwen Bao , Xianjun Zeng , Peng Nie","doi":"10.1016/j.jsv.2025.118956","DOIUrl":"10.1016/j.jsv.2025.118956","url":null,"abstract":"<div><div>Bolted connections have the advantages of simple structure, strong operability, convenient installation, and good connection rigidity, making them widely used in rotor connection structures of aircraft engines. This paper first thoroughly analyzes the transmission path of internal forces in bolted connection structures, calculates the stiffness of the connected parts, thread stiffness, bolt stiffness, and contact surface stiffness, and establishes an equivalent stiffness model for bolted connections. Then, considering the maneuver loads of horizontal yaw and the nonlinear Hertz contact force of rolling bearings, a dynamic model of the rotor system under the coupling effect of bolted connection and maneuver loads was proposed. Finally, the Newmark- <em>β</em> numerical method was used to solve the system response, and the effects of equivalent connection stiffness and maneuver loads of bolted connections on the overall system were studied. The research results indicate that: The equivalent stiffness of bolted connection reduces the overall stiffness of the shaft to a certain extent, and nonlinear response occurs near the critical speed. When the speed exceeds the critical speed, the system enters complex nonlinear motion. The system with equivalent stiffness of bolted connections enters twice the cycle later than the system without equivalent stiffness of bolted connections. As the equivalent stiffness of bolted connection increases, the nonlinearity of the system weakens. At the same time, it is accompanied by the following changes: the period doubling bifurcation point shifts backward. The critical speed of the system increases. The low-frequency component decreases and the frequency decreases. In the horizontal yaw maneuver flight state, the system generates rich nonlinear dynamic phenomena such as period doubling, quasi period, and chaotic motion near twice the critical speed. As the maneuver loads <em>G</em> increases, the main resonance speed increases, indicating that the presence of the maneuver loads increases the stiffness of the shaft. The vibration of the rotor significantly increases, which may cause friction between the rotor and stator in the horizontal direction. This paper provides a basis for predicting the nonlinear response of bolted rotor system under maneuver loads, in order to provide reference for efficient and accurate research on the dynamic characteristics of bolted structures.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"604 ","pages":"Article 118956"},"PeriodicalIF":4.3,"publicationDate":"2025-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143141054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A multi-modal and configuration-dependent chatter prediction approach for a milling robot

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-16 DOI: 10.1016/j.jsv.2025.118955

Bo Li , Wei Zhao , Zan Li , Yu Zhao , Yunfei Miao , Wei Tian , Wenhe Liao

In robotic milling for aerospace large and complex cabin structural components, chatter can significantly impair the surface quality of workpieces, and in severe cases even result in tool damage. To mitigate chatter-related issues, the selection of appropriate process parameters using Stability Lobe Diagrams (SLDs) is a widely employed and effective strategy. Nevertheless, most prior investigations have primarily focused on regenerative chatter in specific robotic configurations, often disregarding the impact of low-frequency chatter originating from the inherent structural modes of the robot and its configuration-dependent dynamics. A novel approach for predicting the multi-modal stability of milling robots across their entire workspace is presented in this study. By integrating multibody dynamics model and regenerative chatter theory, this approach comprehensively accounts for the vibrations of the robotic milling system, which encompasses both the robotic structure and the tool, as well as the influence of multi-order modal variations. Moreover, a new representation method for the stability cloud map is suggested. Utilizing the multibody system transfer matrix method, a dynamics model is formulated to accommodate alterations in configurations. Additionally, a grid-based dynamic parameter identification method is proposed to predict frequency response functions under different robotic configurations. The chatter stability prediction model is integrated with the dynamics model to establish a multi-modal driven SLD. Finally, the correctness of the proposed robotic dynamics model and the effectiveness of the multi-modal SLDs with variable configurations are validated through modal and milling experiments conducted on an industrial robot.

{"title":"A multi-modal and configuration-dependent chatter prediction approach for a milling robot","authors":"Bo Li , Wei Zhao , Zan Li , Yu Zhao , Yunfei Miao , Wei Tian , Wenhe Liao","doi":"10.1016/j.jsv.2025.118955","DOIUrl":"10.1016/j.jsv.2025.118955","url":null,"abstract":"<div><div>In robotic milling for aerospace large and complex cabin structural components, chatter can significantly impair the surface quality of workpieces, and in severe cases even result in tool damage. To mitigate chatter-related issues, the selection of appropriate process parameters using Stability Lobe Diagrams (SLDs) is a widely employed and effective strategy. Nevertheless, most prior investigations have primarily focused on regenerative chatter in specific robotic configurations, often disregarding the impact of low-frequency chatter originating from the inherent structural modes of the robot and its configuration-dependent dynamics. A novel approach for predicting the multi-modal stability of milling robots across their entire workspace is presented in this study. By integrating multibody dynamics model and regenerative chatter theory, this approach comprehensively accounts for the vibrations of the robotic milling system, which encompasses both the robotic structure and the tool, as well as the influence of multi-order modal variations. Moreover, a new representation method for the stability cloud map is suggested. Utilizing the multibody system transfer matrix method, a dynamics model is formulated to accommodate alterations in configurations. Additionally, a grid-based dynamic parameter identification method is proposed to predict frequency response functions under different robotic configurations. The chatter stability prediction model is integrated with the dynamics model to establish a multi-modal driven SLD. Finally, the correctness of the proposed robotic dynamics model and the effectiveness of the multi-modal SLDs with variable configurations are validated through modal and milling experiments conducted on an industrial robot.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"603 ","pages":"Article 118955"},"PeriodicalIF":4.3,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143143150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Prediction of human-induced structural vibration using multi-view markerless 3D gait reconstruction and an enhanced bipedal human-structure interaction model

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-13 DOI: 10.1016/j.jsv.2025.118931

Huiqi Liang , Yijing Lu , Wenbo Xie , Yuhang He , Peizi Wei , Zhiqiang Zhang , Yuxiao Wang

In the context of advancing material engineering and construction technology, structures are evolving to be lightweight, giving rise to a heightened focus on human-induced vibration serviceability. Despite the availability of various Human-Structure Interaction (HSI) models, integrating outdoor tests with these models remains challenging due to the lack of a comprehensive testing framework. Existing methods heavily rely on invasive wearable sensors, lacking non-invasive alternatives. To bridge this gap, this paper proposed an outdoor testing framework for evaluating human-induced structural vibrations. Using a 2D body keypoints detection network, human gaits were captured from multiple viewpoints, representing it with the Skinned Multi-Person Linear Model (SMPL) model through triangulation and optimization. Gait and walking force data from 30 participants were analyzed using a Long Short-Term Memory (LSTM) network to classify landing states, which indicate whether both feet are in contact with the structure. Extending a bipedal HSI model from 1D to a 2D structure, walking tests were conducted on a 19.8 m × 2.35 m outdoor footbridge to update dynamic properties. Results showed over 90 % accuracy in predicting human landing states and within 10 % relative Root Mean Square Error (RMSE) in predicting pedestrian vertical walking force. Comparing models with and without HSI, disparities of 20 % to 60 % in frequency changes and 50 % to 180 % in damping ratio values were observed. The proposed non-invasive method predicted vertical structural vibration response with <10 % error, outperforming cases that used walking loads from force-measuring insoles without accounting for time-varying dynamics. These findings affirmed the feasibility and accuracy of our multi-view, non-invasive human gait acquisition method coupled with the improved bipedal HSI model in human-induced vibration prediction.

{"title":"Prediction of human-induced structural vibration using multi-view markerless 3D gait reconstruction and an enhanced bipedal human-structure interaction model","authors":"Huiqi Liang , Yijing Lu , Wenbo Xie , Yuhang He , Peizi Wei , Zhiqiang Zhang , Yuxiao Wang","doi":"10.1016/j.jsv.2025.118931","DOIUrl":"10.1016/j.jsv.2025.118931","url":null,"abstract":"<div><div>In the context of advancing material engineering and construction technology, structures are evolving to be lightweight, giving rise to a heightened focus on human-induced vibration serviceability. Despite the availability of various Human-Structure Interaction (HSI) models, integrating outdoor tests with these models remains challenging due to the lack of a comprehensive testing framework. Existing methods heavily rely on invasive wearable sensors, lacking non-invasive alternatives. To bridge this gap, this paper proposed an outdoor testing framework for evaluating human-induced structural vibrations. Using a 2D body keypoints detection network, human gaits were captured from multiple viewpoints, representing it with the Skinned Multi-Person Linear Model (SMPL) model through triangulation and optimization. Gait and walking force data from 30 participants were analyzed using a Long Short-Term Memory (LSTM) network to classify landing states, which indicate whether both feet are in contact with the structure. Extending a bipedal HSI model from 1D to a 2D structure, walking tests were conducted on a 19.8 m × 2.35 m outdoor footbridge to update dynamic properties. Results showed over 90 % accuracy in predicting human landing states and within 10 % relative Root Mean Square Error (RMSE) in predicting pedestrian vertical walking force. Comparing models with and without HSI, disparities of 20 % to 60 % in frequency changes and 50 % to 180 % in damping ratio values were observed. The proposed non-invasive method predicted vertical structural vibration response with <10 % error, outperforming cases that used walking loads from force-measuring insoles without accounting for time-varying dynamics. These findings affirmed the feasibility and accuracy of our multi-view, non-invasive human gait acquisition method coupled with the improved bipedal HSI model in human-induced vibration prediction.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118931"},"PeriodicalIF":4.3,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Active structural cloaking using equivalent feedback cancellation

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-11 DOI: 10.1016/j.jsv.2025.118950

Hiroyuki Iwamoto , Nathan Wendt , Yuki Takahashi , Nicole Kessissoglou

A novel concept of active structural cloaking based on equivalent feedback cancellation is proposed for coupled vibratory systems. The cloaking strategy is demonstrated on the simplest case of a two degree-of-freedom (2DOF) lumped parameter system composed of a main (primary) structure and an attached (secondary) structure. The target output of the coupled system corresponds to the response of the primary mass in the absence of the attached structure. The equations of motion for the 2DOF system are presented, from which a velocity feedback control law for structural cloaking is identified. With feedback cancellation, the primary mass is effectively decoupled from the secondary mass. New resonances for each mass are observed. The active structural cloaking approach is shown to be stable.

引用次数: 0

Modal properties of mechanical systems under geometric variations by perturbation theory

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-11 DOI: 10.1016/j.jsv.2025.118942

Javier González-Monge , Abdelhakim Bouras , Luigi Carassale

The availability of analytical expressions to obtain the system matrices of mechanical components subject to small geometric variations (Bouras and Carassale (2024)) enables efficient solutions of several technical problems, including uncertainty propagation and shape optimization. An important step to tackle these problems is the calculation of the modal properties of the modified system. This can be done by relying on system matrices that are expressed through approximations such as power series. This paper starts from a motivational example showing some unexpected results and then studies the mathematical problem using a perturbation approach. This formulation provides analytic expressions for the corrections up to the second order of the eigenpairs of systems whose matrices depend on a small parameter. The results obtained can be related to known expressions for the derivatives of eigenvalues and eigenvectors both for the case of isolated modes, as well as for repeated eigenvalues. Besides, the technically relevant case of closely-spaced modes is considered. On the other hand, the perturbation analysis enables the discussion of the relative importance of the terms contained in the asymptotic expressions and explains some previously obtained numerical results.

{"title":"Modal properties of mechanical systems under geometric variations by perturbation theory","authors":"Javier González-Monge , Abdelhakim Bouras , Luigi Carassale","doi":"10.1016/j.jsv.2025.118942","DOIUrl":"10.1016/j.jsv.2025.118942","url":null,"abstract":"<div><div>The availability of analytical expressions to obtain the system matrices of mechanical components subject to small geometric variations (Bouras and Carassale (2024)) enables efficient solutions of several technical problems, including uncertainty propagation and shape optimization. An important step to tackle these problems is the calculation of the modal properties of the modified system. This can be done by relying on system matrices that are expressed through approximations such as power series. This paper starts from a motivational example showing some unexpected results and then studies the mathematical problem using a perturbation approach. This formulation provides analytic expressions for the corrections up to the second order of the eigenpairs of systems whose matrices depend on a small parameter. The results obtained can be related to known expressions for the derivatives of eigenvalues and eigenvectors both for the case of isolated modes, as well as for repeated eigenvalues. Besides, the technically relevant case of closely-spaced modes is considered. On the other hand, the perturbation analysis enables the discussion of the relative importance of the terms contained in the asymptotic expressions and explains some previously obtained numerical results.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"601 ","pages":"Article 118942"},"PeriodicalIF":4.3,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Piezoelectric thin-walled meta-plates via nonlinear semi-active electrical interface for low-frequency distributed broadband vibration control

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-11 DOI: 10.1016/j.jsv.2025.118948

Bin Bao , Mickaël Lallart , Shaoyi Zhou

To enhance the low-frequency distributed vibration control capabilities for lightweight thin-walled structures, this study reports a piezoelectric meta-plate with nonlinear semi-active electrical stiffness tuning. The proposed meta-plate consists of mechanical and electrical sections, with piezoelectric coupling at their interface. The distributed nonlinear semi-active enhanced SSDV shunting circuits are in the electrical domain, utilizing the piezoelectricity to affect the dynamic equivalent bending stiffness of the whole plate structure. Results show that the nonlinear semi-active electrical stiffness tuning of the proposed meta-plate can induce broadband electromechanical band gaps and enhance wave attenuation through band gap hybridization. The existence of these band gaps and their coupling effects are indirectly demonstrated by the meta-plate vibration transmission characteristics. In the case of a thin-walled meta-plate with a 1×5 array of periodic cells, there are 13 vibrational transmission modes within the 0–2 kHz range, with 12 significantly attenuated. The majority of vibration transmission modes are attenuated by more than 10dB, reaching a maximum of 64dB Additionally, the obtained equivalent damping ratio of the semi-active enhanced SSDV electrical circuit is below 0.4, so the nonlinear semi-active enhanced SSDV electrical shunt circuits are underdamped and exhibit high control stability. Therefore, the proposed semi-active distributed vibration control approach also has better robustness and reliability.

{"title":"Piezoelectric thin-walled meta-plates via nonlinear semi-active electrical interface for low-frequency distributed broadband vibration control","authors":"Bin Bao , Mickaël Lallart , Shaoyi Zhou","doi":"10.1016/j.jsv.2025.118948","DOIUrl":"10.1016/j.jsv.2025.118948","url":null,"abstract":"<div><div>To enhance the low-frequency distributed vibration control capabilities for lightweight thin-walled structures, this study reports a piezoelectric meta-plate with nonlinear semi-active electrical stiffness tuning. The proposed meta-plate consists of mechanical and electrical sections, with piezoelectric coupling at their interface. The distributed nonlinear semi-active enhanced SSDV shunting circuits are in the electrical domain, utilizing the piezoelectricity to affect the dynamic equivalent bending stiffness of the whole plate structure. Results show that the nonlinear semi-active electrical stiffness tuning of the proposed meta-plate can induce broadband electromechanical band gaps and enhance wave attenuation through band gap hybridization. The existence of these band gaps and their coupling effects are indirectly demonstrated by the meta-plate vibration transmission characteristics. In the case of a thin-walled meta-plate with a 1×5 array of periodic cells, there are 13 vibrational transmission modes within the 0–2 kHz range, with 12 significantly attenuated. The majority of vibration transmission modes are attenuated by more than 10dB, reaching a maximum of 64dB Additionally, the obtained equivalent damping ratio of the semi-active enhanced SSDV electrical circuit is below 0.4, so the nonlinear semi-active enhanced SSDV electrical shunt circuits are underdamped and exhibit high control stability. Therefore, the proposed semi-active distributed vibration control approach also has better robustness and reliability.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118948"},"PeriodicalIF":4.3,"publicationDate":"2025-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multi-DoFs nonlinear joint identification through substructure decoupling

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-10 DOI: 10.1016/j.jsv.2025.118945

Matteo Di Manno , Francesco Trainotti , Daniel J. Rixen , Annalisa Fregolent

Nonlinear joint identification is essential for predicting the dynamic behavior of complex mechanical systems with localized nonlinearities at the joint. The FRF Decoupling Method for Nonlinear Systems (FDM-NS) characterizes nonlinear joints by removing the linear dynamics of the connected subsystems from the nonlinear ones of the assembly. However, FDM-NS is only applicable to systems where the nonlinearity can be modeled as a single nonlinear elastic element connecting a pair of DoFs, and requires direct response measurements at these DoFs. This paper proposes an extension of FDM-NS to systems where the joint can be modeled as a single multi-DoFs element where several DoFs may exhibit nonlinearity, and overcomes the need of direct measurement at the joint DoFs which are in general inaccessible. The proposed method introduces the Virtual Point Transformation (VPT) into the FDM-NS. The VPT is used in real-time during measurements to obtain the relative displacement between the pairs of joint DoFs that exhibit nonlinearity. This enables controlling (i.e., fixing at a constant level) the relative displacement of a pair of nonlinear joint DoFs and obtaining the corresponding quasi-linear FRFs of the assembly needed for FDM-NS. The potential and limitations of the proposed method are investigated using experimental measurements on a laboratory testbed containing a multi-DoFs nonlinear joint. It is found that controlling only one pair of joint DoFs ensures that the relative displacement of the other pairs of nonlinear DoFs is effectively fixed during the measurements. The results show that the proposed method can correctly identify joints that can be modeled as a single multi-DoFs nonlinear element whose DoFs are inaccessible for measurements.

{"title":"Multi-DoFs nonlinear joint identification through substructure decoupling","authors":"Matteo Di Manno , Francesco Trainotti , Daniel J. Rixen , Annalisa Fregolent","doi":"10.1016/j.jsv.2025.118945","DOIUrl":"10.1016/j.jsv.2025.118945","url":null,"abstract":"<div><div>Nonlinear joint identification is essential for predicting the dynamic behavior of complex mechanical systems with localized nonlinearities at the joint. The FRF Decoupling Method for Nonlinear Systems (FDM-NS) characterizes nonlinear joints by removing the linear dynamics of the connected subsystems from the nonlinear ones of the assembly. However, FDM-NS is only applicable to systems where the nonlinearity can be modeled as a single nonlinear elastic element connecting a pair of DoFs, and requires direct response measurements at these DoFs. This paper proposes an extension of FDM-NS to systems where the joint can be modeled as a single multi-DoFs element where several DoFs may exhibit nonlinearity, and overcomes the need of direct measurement at the joint DoFs which are in general inaccessible. The proposed method introduces the Virtual Point Transformation (VPT) into the FDM-NS. The VPT is used in real-time during measurements to obtain the relative displacement between the pairs of joint DoFs that exhibit nonlinearity. This enables controlling (i.e., fixing at a constant level) the relative displacement of a pair of nonlinear joint DoFs and obtaining the corresponding quasi-linear FRFs of the assembly needed for FDM-NS. The potential and limitations of the proposed method are investigated using experimental measurements on a laboratory testbed containing a multi-DoFs nonlinear joint. It is found that controlling only one pair of joint DoFs ensures that the relative displacement of the other pairs of nonlinear DoFs is effectively fixed during the measurements. The results show that the proposed method can correctly identify joints that can be modeled as a single multi-DoFs nonlinear element whose DoFs are inaccessible for measurements.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118945"},"PeriodicalIF":4.3,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An efficient and robust approach for continuation and bifurcation analysis of quasi-periodic solutions by multi-harmonic balance method

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-10 DOI: 10.1016/j.jsv.2025.118943

Junqing Wu, Ling Hong, Yeyin Xu, Jun Jiang

To explore the stability and bifurcation of quasi-periodic solutions, it is crucial to obtain or track the full branches of the solutions during varying system parameters of nonlinear dynamical systems. In this aspect, the phase conditions related to the prior unknown frequencies of quasi-periodic solutions must be supplemented in order to ensure the uniqueness. However, the existing phase conditions cannot guarantee robust solution continuation because they are heavily dependent on the solution point of previous step or the accuracy of the predicted initial condition. In this paper, a simple phase condition is devised to secure a robust continuation, which utilizes the orthogonality in the sense of integral between the current solution point and its iterative variables at each step of continuation. Moreover, a formulation of two-dimensional fast Fourier transforms (2-FFT) for AFT method is introduced for the multi-harmonic balance method (MHB) in order to rapidly evaluate the nonlinear terms and their derivatives. Two examples of a 2DOFs nonlinear energy sink (NES) system and a 2DOFs rotor-stator rubbing system are studied by the developed approach to show the feasibility and efficiency. Both stable and unstable quasi-periodic solutions after Neimark-Sack and/or fold bifurcations are fully tracked.

{"title":"An efficient and robust approach for continuation and bifurcation analysis of quasi-periodic solutions by multi-harmonic balance method","authors":"Junqing Wu, Ling Hong, Yeyin Xu, Jun Jiang","doi":"10.1016/j.jsv.2025.118943","DOIUrl":"10.1016/j.jsv.2025.118943","url":null,"abstract":"<div><div>To explore the stability and bifurcation of quasi-periodic solutions, it is crucial to obtain or track the full branches of the solutions during varying system parameters of nonlinear dynamical systems. In this aspect, the phase conditions related to the prior unknown frequencies of quasi-periodic solutions must be supplemented in order to ensure the uniqueness. However, the existing phase conditions cannot guarantee robust solution continuation because they are heavily dependent on the solution point of previous step or the accuracy of the predicted initial condition. In this paper, a simple phase condition is devised to secure a robust continuation, which utilizes the orthogonality in the sense of integral between the current solution point and its iterative variables at each step of continuation. Moreover, a formulation of two-dimensional fast Fourier transforms (2-FFT) for AFT method is introduced for the multi-harmonic balance method (MHB) in order to rapidly evaluate the nonlinear terms and their derivatives. Two examples of a 2DOFs nonlinear energy sink (NES) system and a 2DOFs rotor-stator rubbing system are studied by the developed approach to show the feasibility and efficiency. Both stable and unstable quasi-periodic solutions after Neimark-Sack and/or fold bifurcations are fully tracked.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"601 ","pages":"Article 118943"},"PeriodicalIF":4.3,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143175473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A framework to predict bearing loads of soft suspension reaction wheels during launch

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-09 DOI: 10.1016/j.jsv.2025.118946

Thomas P. Hughes , Mattia M. Longato , Vladimir Yotov , Guglielmo S. Aglietti , James Barrington-Brown

Spacecraft stability requirements are continuously evolving due to the increasing sensitivity of instruments onboard. This imposes design limits on reaction wheel assemblies (RWAs), that are often identified as the primary source of in-orbit mechanical disturbances. These disturbances can be minimised by introducing a soft suspension system to the RWA’s standard flywheel, motor and housing components. However, in this configuration, the excitations during launch cause flywheel-casing contacts, inducing unknown motor bearing shock loads. Identifying critical load cases is not computationally viable with available finite element techniques. To characterise the vibro-impact dynamics problem, an experimental procedure that simplifies a soft suspension RWA is developed. The proposed setup comprises a mass suspended using an air cushion, variable stiffness spring attachments and a frame, respectively emulating the flywheel, soft suspension and housing. This assembly is mounted on a shaker/slip table and subjected to representative excitations. The test results are used to calibrate an analytical 1-degree of freedom (DOF) vibro-impact model. In particular, an impact oscillator is augmented with an empirically derived restitution coefficient, in order to account for neglected body flexibility. Following validation, the numerical vibro-impact model is extended to 2-DOF, with the capability of estimating bearing shock loads. The vibro-impact model is employed to investigate the effect of gap size between the impactor and case, on the mean shock and shock frequency, in order to estimate shock damage potential on bearings.

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引用次数: 0

Vortex-induced vibrations of an elastically supported rigid cylinder in a dual-mass system

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-01-08 DOI: 10.1016/j.jsv.2025.118940

Yang Qu , Wenjie Xu , Shixiao Fu , Yue Song

This paper investigates experimentally the vortex-induced vibration (VIV) of a dual-mass system characterized by two natural frequencies. Five different frequency ratios (

R

= 1.38, 1.59, 1.66, 1.77, and 1.94) were studied across a range of Reynolds numbers

4500 < R e < 20000

. The study reveals that, in addition to the two lock-in regions at the first and second natural frequencies at low and high reduced velocities, there exists a transition range in between where the VIV response contains significant components at both frequencies. This transition region is bounded by an onset at a reduced velocity (defined by the first natural frequency) around 6 and concludes at a reduced velocity (defined by the second natural frequency) just below 6. The notable characteristics of the cylinder responses and fluid forces observed in the transition region are analyzed, and possible explanations for certain phenomenon are discussed.

引用次数: 0

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