Pub Date : 2024-07-22DOI: 10.1177/10775463241264329
Sondos M Syam, Z Siri, Sami H Altoum, R Md Kasmani
In this article, we present a novel approach that utilizes the operational matrix method to solve fractional optimal control problems. We address the challenge of missing initial conditions for the co-state function by incorporating the linear shooting method. Our objective is to provide a method that not only enhances computational efficiency and reduces cost but also improves accuracy and usability. With our new approach, we can calculate the coefficients of the expansion solution without the need to solve an algebraic system. These coefficients can be generated explicitly or through an iterative process. We provide a proof of the uniform convergence of the approximate series of functions to the unique solution of the optimal control problem. To demonstrate the effectiveness of our proposed method, we solve several numerical examples and compare the results with those obtained by other researchers. Additionally, we extend the application of this new method to solve problems with multiple states, thereby expanding its scope to a wider range of problem domains. This allows us to address diverse scenarios using the same efficient and accurate approach. Through our research, we contribute to the development of a powerful and versatile method for solving fractional optimal control problems, offering significant advantages over existing techniques.
{"title":"A new method for solving fractional optimal control problems","authors":"Sondos M Syam, Z Siri, Sami H Altoum, R Md Kasmani","doi":"10.1177/10775463241264329","DOIUrl":"https://doi.org/10.1177/10775463241264329","url":null,"abstract":"In this article, we present a novel approach that utilizes the operational matrix method to solve fractional optimal control problems. We address the challenge of missing initial conditions for the co-state function by incorporating the linear shooting method. Our objective is to provide a method that not only enhances computational efficiency and reduces cost but also improves accuracy and usability. With our new approach, we can calculate the coefficients of the expansion solution without the need to solve an algebraic system. These coefficients can be generated explicitly or through an iterative process. We provide a proof of the uniform convergence of the approximate series of functions to the unique solution of the optimal control problem. To demonstrate the effectiveness of our proposed method, we solve several numerical examples and compare the results with those obtained by other researchers. Additionally, we extend the application of this new method to solve problems with multiple states, thereby expanding its scope to a wider range of problem domains. This allows us to address diverse scenarios using the same efficient and accurate approach. Through our research, we contribute to the development of a powerful and versatile method for solving fractional optimal control problems, offering significant advantages over existing techniques.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"133 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-22DOI: 10.1177/10775463241263890
Yihan Du, Xuanhua Fan, Dong Wang
A novel iterative model updating method is developed to identify the local nonlinear joint properties using the frequency response functions (FRFs) of assembled structures. In this paper, the least-squares fitting method was used to transform the sensitivity matrix into a square iteration matrix to match the dimensions of the objective functions and nonlinear joint model parameters. Leveraging the Newton’s iteration, the adaptive successive over-relaxation (A-SOR) was used to ensure iteration convergence while the multi-scale parameter adjusting (MPA) strategy was developed to degrade the ill-condition of the iteration matrix. Two updating examples of phenomenological equivalence models were applied to demonstrate the effectiveness of the proposed method. The nonlinear FRFs of a lap-type bolted joint beam system with Iwan model were simulated as the objective functions to identify the local nonlinear joint properties, as well as experimental investigations of a metal rubber isolation system with a high-order polynomial model. The proposed method was validated by the good agreement of the comparison results, and it indicated a better model updating performance with a much smaller condition number of the iteration matrix.
{"title":"A novel iterative model updating for jointed structures using nonlinear FRFs","authors":"Yihan Du, Xuanhua Fan, Dong Wang","doi":"10.1177/10775463241263890","DOIUrl":"https://doi.org/10.1177/10775463241263890","url":null,"abstract":"A novel iterative model updating method is developed to identify the local nonlinear joint properties using the frequency response functions (FRFs) of assembled structures. In this paper, the least-squares fitting method was used to transform the sensitivity matrix into a square iteration matrix to match the dimensions of the objective functions and nonlinear joint model parameters. Leveraging the Newton’s iteration, the adaptive successive over-relaxation (A-SOR) was used to ensure iteration convergence while the multi-scale parameter adjusting (MPA) strategy was developed to degrade the ill-condition of the iteration matrix. Two updating examples of phenomenological equivalence models were applied to demonstrate the effectiveness of the proposed method. The nonlinear FRFs of a lap-type bolted joint beam system with Iwan model were simulated as the objective functions to identify the local nonlinear joint properties, as well as experimental investigations of a metal rubber isolation system with a high-order polynomial model. The proposed method was validated by the good agreement of the comparison results, and it indicated a better model updating performance with a much smaller condition number of the iteration matrix.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"1 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-22DOI: 10.1177/10775463241267033
Qamar Din
This paper explores the qualitative behavior of a discrete fractional–order Brusselator model. We analyze the local dynamics of the model around its fixed point and determine its topological classification. We perform the bifurcation analysis for both codimension-one and codimension-two cases to examine the system behavior near critical parameter values. Using normal form theory and center manifold theorem (CMT), we prove that the model exhibits period-doubling bifurcation around its interior fixed point. We also study the existence and direction of Neimark–Sacker bifurcation using normal form theory. For codimension-two bifurcation, we show that the model undergoes 1:2, 1:3, and 1:4 resonances by applying normal form theory and suitable affine transformations. The system displays a rich variety of bifurcations, including quasi–periodicity, periodic orbits, chaotic behavior, and resonance bifurcation. Furthermore, the existence of chaos is discussed in the sense of Marotto, and a novel chaos control method is proposed for discrete Brusselator model using an extended pole–placement approach. This modified approach is more suitable for codimension-two bifurcation situations. Numerical simulations are used to illustrate the theoretical discussion.
{"title":"Controlling chaos and codimension-two bifurcation in a discrete fractional-order Brusselator model","authors":"Qamar Din","doi":"10.1177/10775463241267033","DOIUrl":"https://doi.org/10.1177/10775463241267033","url":null,"abstract":"This paper explores the qualitative behavior of a discrete fractional–order Brusselator model. We analyze the local dynamics of the model around its fixed point and determine its topological classification. We perform the bifurcation analysis for both codimension-one and codimension-two cases to examine the system behavior near critical parameter values. Using normal form theory and center manifold theorem (CMT), we prove that the model exhibits period-doubling bifurcation around its interior fixed point. We also study the existence and direction of Neimark–Sacker bifurcation using normal form theory. For codimension-two bifurcation, we show that the model undergoes 1:2, 1:3, and 1:4 resonances by applying normal form theory and suitable affine transformations. The system displays a rich variety of bifurcations, including quasi–periodicity, periodic orbits, chaotic behavior, and resonance bifurcation. Furthermore, the existence of chaos is discussed in the sense of Marotto, and a novel chaos control method is proposed for discrete Brusselator model using an extended pole–placement approach. This modified approach is more suitable for codimension-two bifurcation situations. Numerical simulations are used to illustrate the theoretical discussion.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"15 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-22DOI: 10.1177/10775463241263885
Nima Sepasian, Mohammad Saleh Tavazoei
In this paper, transient response of commensurate fractional-order systems with non-zero initial conditions is investigated in the viewpoint of the existence of deviation from initial condition. In particular, firstly peak effect for a class of linear fractional order systems is inspected by presenting a lower bound for their responses. Such a lower bound is described by an elementary function, where the commensurate order of the system is considered as a rational number. Furthermore, it has been demonstrated that under particular circumstances the derived lower bound can be extended to apply for deviation analysis in response of a class of fractional-order nonlinear systems. Moreover, included are various illustrative examples intended to assess the applicability of the obtained lower bound in prediction of the deviation value and the time instance at which the peak effect occurs.
{"title":"Deviation analysis in transient response of fractional-order systems: An elementary function-based lower bound","authors":"Nima Sepasian, Mohammad Saleh Tavazoei","doi":"10.1177/10775463241263885","DOIUrl":"https://doi.org/10.1177/10775463241263885","url":null,"abstract":"In this paper, transient response of commensurate fractional-order systems with non-zero initial conditions is investigated in the viewpoint of the existence of deviation from initial condition. In particular, firstly peak effect for a class of linear fractional order systems is inspected by presenting a lower bound for their responses. Such a lower bound is described by an elementary function, where the commensurate order of the system is considered as a rational number. Furthermore, it has been demonstrated that under particular circumstances the derived lower bound can be extended to apply for deviation analysis in response of a class of fractional-order nonlinear systems. Moreover, included are various illustrative examples intended to assess the applicability of the obtained lower bound in prediction of the deviation value and the time instance at which the peak effect occurs.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"61 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-22DOI: 10.1177/10775463241260081
Shupeng Sun, Xinqiu Zhao, Yang Yang, Dengqing Cao
This paper addresses the active vibration control of rotating carbon nanotube reinforced composite (CNTRC) cylindrical shells via piezoelectric actuator and sensor pairs. Considering circumferential initial stresses and Coriolis forces induced by rotation, an electromechanical coupling model of a simply supported CNTRC cylindrical shell, covered with surface-bonded piezoelectric sensors/actuators is established using the Lagrange equations and the model validation is carried out through a comparative analysis with existing literature. To suppress vibrations of rotating CNTRC cylindrical shells over a range of speeds, an LQR (Linear Quadratic Regulator) closed-loop controller is designed and its effectiveness is analyzed and evaluated through dynamic response analysis. Furthermore, the optimization of piezoelectric patch layout is performed by analyzing the performance of the controller for rotating CNTRC shells with typical piezoelectric sensors/actuators distributions. This paper presents and validates a strategy for vibration control of rotating CNTRC cylindrical shells using piezoelectric patches. The findings derived can offer guidance for vibration suppression of rotating thin-walled structures in practical engineering applications.
{"title":"Active vibration control of rotating carbon nanotube reinforced composite cylindrical shells via piezoelectric patches","authors":"Shupeng Sun, Xinqiu Zhao, Yang Yang, Dengqing Cao","doi":"10.1177/10775463241260081","DOIUrl":"https://doi.org/10.1177/10775463241260081","url":null,"abstract":"This paper addresses the active vibration control of rotating carbon nanotube reinforced composite (CNTRC) cylindrical shells via piezoelectric actuator and sensor pairs. Considering circumferential initial stresses and Coriolis forces induced by rotation, an electromechanical coupling model of a simply supported CNTRC cylindrical shell, covered with surface-bonded piezoelectric sensors/actuators is established using the Lagrange equations and the model validation is carried out through a comparative analysis with existing literature. To suppress vibrations of rotating CNTRC cylindrical shells over a range of speeds, an LQR (Linear Quadratic Regulator) closed-loop controller is designed and its effectiveness is analyzed and evaluated through dynamic response analysis. Furthermore, the optimization of piezoelectric patch layout is performed by analyzing the performance of the controller for rotating CNTRC shells with typical piezoelectric sensors/actuators distributions. This paper presents and validates a strategy for vibration control of rotating CNTRC cylindrical shells using piezoelectric patches. The findings derived can offer guidance for vibration suppression of rotating thin-walled structures in practical engineering applications.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"5 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141778626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-21DOI: 10.1177/10775463241264590
Gang Huang, Jiajun Li, Yao Yang, Yuhan Zhang
Aiming at the problem of the control performance degradation of a permanent magnet synchronous motor (PMSM) drive system due to permanent magnet demagnetization, which is caused by mechanical vibration and high temperature, this paper presents an equivalent-input-disturbance (EID) fault-tolerant control method based on an integral sliding-mode observer (ISMO). The mathematical model of a PMSM with demagnetization fault in dq-axis coordinate system is first established. Then, the model is transformed into an EID system one. An ISMO is used to estimate the state variables of the EID system and an equivalent-input-demagnetization fault. The estimate of the equivalent-input-demagnetization fault is compensated in a feed-forward manner. Thus, the fault-tolerance control of PMSM demagnetization is achieved. Finally, the stability analyses of the ISMO and the entire EID system are given. The comparative results of a hardware-in-the-loop experiment show that the designed method effectively improves the fault-tolerant control performance of a PMSM drive system with demagnetization fault.
针对永磁同步电机（PMSM）驱动系统因机械振动和高温引起的永磁体退磁而导致控制性能下降的问题，本文提出了一种基于积分滑模观测器（ISMO）的等效输入扰动（EID）容错控制方法。首先建立了在 dq 轴坐标系下发生退磁故障的 PMSM 的数学模型。然后，将该模型转换为 EID 系统模型。使用 ISMO 估算 EID 系统和等效输入失磁故障的状态变量。对等效输入磁化故障的估计以前馈方式进行补偿。因此，实现了 PMSM 去磁的容错控制。最后，给出了 ISMO 和整个 EID 系统的稳定性分析。硬件在环实验的对比结果表明，所设计的方法能有效提高 PMSM 驱动系统的容错控制性能。
{"title":"An integral sliding-mode observer-based equivalent-input-disturbance method for fault-tolerant control of permanent magnet synchronous motor drive system","authors":"Gang Huang, Jiajun Li, Yao Yang, Yuhan Zhang","doi":"10.1177/10775463241264590","DOIUrl":"https://doi.org/10.1177/10775463241264590","url":null,"abstract":"Aiming at the problem of the control performance degradation of a permanent magnet synchronous motor (PMSM) drive system due to permanent magnet demagnetization, which is caused by mechanical vibration and high temperature, this paper presents an equivalent-input-disturbance (EID) fault-tolerant control method based on an integral sliding-mode observer (ISMO). The mathematical model of a PMSM with demagnetization fault in dq-axis coordinate system is first established. Then, the model is transformed into an EID system one. An ISMO is used to estimate the state variables of the EID system and an equivalent-input-demagnetization fault. The estimate of the equivalent-input-demagnetization fault is compensated in a feed-forward manner. Thus, the fault-tolerance control of PMSM demagnetization is achieved. Finally, the stability analyses of the ISMO and the entire EID system are given. The comparative results of a hardware-in-the-loop experiment show that the designed method effectively improves the fault-tolerant control performance of a PMSM drive system with demagnetization fault.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"64 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Special issue on ultrasonic guided waves for structural health monitoring","authors":"Annamaria Pau, Wiesław Ostachowicz, Piervincenzo Rizzo","doi":"10.1177/10775463241265659","DOIUrl":"https://doi.org/10.1177/10775463241265659","url":null,"abstract":"","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"39 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
To solve the vibration problem of the thin-walled hull of AUVs, a piezoelectric active control method is used to suppress the vibration of the hull. Adopting improved Donnell–Mushtari theory, the thin-walled cylindrical hull of the AUV was theoretically modeled, and the natural frequency of the system was solved by numerical analysis. Based on the established dynamic equations, the PID controller and fuzzy PID controller were designed. An experimental platform for vibration control was set up to test the active vibration control of a thin-walled hull under transient, sinusoidal, and random excitations. The results show that the minimum natural frequency of the selected experimental hull is 588.1 Hz, and the error between the theoretically calculated and the simulated frequency of the first six orders is less than 1%. Under the fuzzy PID control, the stability time of the hull vibration with transient excitation is reduced by 43%, whereas the active vibration control effect can reach 31.4% with the sinusoidal excitation of 10 Hz. The results of the study provide theoretical basis and experimental support for the vibration control of AUVs.
{"title":"Dynamic modeling and piezoelectric active vibration control of a thin-walled hull for autonomous underwater vehicles","authors":"Chong Li, Xin Bai, Pingchang Wang, Jiwen Fang, Mingming Lv","doi":"10.1177/10775463241266868","DOIUrl":"https://doi.org/10.1177/10775463241266868","url":null,"abstract":"To solve the vibration problem of the thin-walled hull of AUVs, a piezoelectric active control method is used to suppress the vibration of the hull. Adopting improved Donnell–Mushtari theory, the thin-walled cylindrical hull of the AUV was theoretically modeled, and the natural frequency of the system was solved by numerical analysis. Based on the established dynamic equations, the PID controller and fuzzy PID controller were designed. An experimental platform for vibration control was set up to test the active vibration control of a thin-walled hull under transient, sinusoidal, and random excitations. The results show that the minimum natural frequency of the selected experimental hull is 588.1 Hz, and the error between the theoretically calculated and the simulated frequency of the first six orders is less than 1%. Under the fuzzy PID control, the stability time of the hull vibration with transient excitation is reduced by 43%, whereas the active vibration control effect can reach 31.4% with the sinusoidal excitation of 10 Hz. The results of the study provide theoretical basis and experimental support for the vibration control of AUVs.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"4 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-20DOI: 10.1177/10775463241260898
Jinlu Dong, Jian Li, Guangyang Hong, Hang Li, Yang Ning
The nonlinear restoring force (NRF) generated by the collision and friction between particles and structures is the leading cause of the complex dynamic response of the granules-structures coupled vibrating system (GSCVS). Identification of NRF can provide critical information for post-event damage diagnosis and structural design of immersed structures. However, the spatial distribution and dynamic response of the particles near the structures are diverse and complex, making it difficult to describe the NRF with an accurate mathematical model. This paper proposed a data-based nonparametric method to estimate the NRF in the GSCVS. A nonparametric model of NRF that considered the additional effects of particles on both sides of the structures and consisted of system response and undetermined coefficients was developed. The observation vector of the conventional Extended Kalman Filter (EKF) was reconstructed by the sparse measurement of the strain response. The reconstructed observation vector contains three response components: translational displacement, translational acceleration, and rotational acceleration, in which the rotational acceleration response is difficult to measure in engineering applications. The proposed EKF based on observation vector reconstruction (EKF-OVR) can identify the undetermined coefficients in the nonparametric model, and then the NRF can be calculated. Numerical studies showed that EKF-OVR achieved higher accuracy and noise robustness than the conventional EKF and the data fusion based EKF. A dynamic experimental study on granules-beam coupled vibrating system (GBCVS) was conducted, and the proposed algorithm was employed to identify the NRF of the GBCVS. The effects of excitation amplitude, particle size, and immersed depth on NRF are analyzed, and it is found that higher harmonic components in the NRF led to period doubling and chaos of the beam response.
{"title":"Observation vector reconstruction-based nonparametric nonlinear restoring force identification for granules-structures coupled vibrating system","authors":"Jinlu Dong, Jian Li, Guangyang Hong, Hang Li, Yang Ning","doi":"10.1177/10775463241260898","DOIUrl":"https://doi.org/10.1177/10775463241260898","url":null,"abstract":"The nonlinear restoring force (NRF) generated by the collision and friction between particles and structures is the leading cause of the complex dynamic response of the granules-structures coupled vibrating system (GSCVS). Identification of NRF can provide critical information for post-event damage diagnosis and structural design of immersed structures. However, the spatial distribution and dynamic response of the particles near the structures are diverse and complex, making it difficult to describe the NRF with an accurate mathematical model. This paper proposed a data-based nonparametric method to estimate the NRF in the GSCVS. A nonparametric model of NRF that considered the additional effects of particles on both sides of the structures and consisted of system response and undetermined coefficients was developed. The observation vector of the conventional Extended Kalman Filter (EKF) was reconstructed by the sparse measurement of the strain response. The reconstructed observation vector contains three response components: translational displacement, translational acceleration, and rotational acceleration, in which the rotational acceleration response is difficult to measure in engineering applications. The proposed EKF based on observation vector reconstruction (EKF-OVR) can identify the undetermined coefficients in the nonparametric model, and then the NRF can be calculated. Numerical studies showed that EKF-OVR achieved higher accuracy and noise robustness than the conventional EKF and the data fusion based EKF. A dynamic experimental study on granules-beam coupled vibrating system (GBCVS) was conducted, and the proposed algorithm was employed to identify the NRF of the GBCVS. The effects of excitation amplitude, particle size, and immersed depth on NRF are analyzed, and it is found that higher harmonic components in the NRF led to period doubling and chaos of the beam response.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"39 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744667","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-07-20DOI: 10.1177/10775463241255757
Ye Shi, Lei Lei, Ming Yan, Xiping Gu
In strong impact environment, traditional impact test platform cannot obtain high peak acceleration, resulting in products being hindered in the testing process. The objective of this paper is to build the rebound-collision impact amplifier that can be used in a strong impact environment and to investigate its mechanism, influencing factors, and amplification effect. The kinematic model of the rebound-collision impact amplifier was established by combining dynamic contact theory with classical collision theory, considering energy loss, and introducing collision recovery coefficient. A theoretical formula for calculating acceleration and acceleration magnification was derived. The effects of the collision duration ratio, the mass ratio of the amplification platform to the falling platform, and the reserved clearance on the acceleration magnification were investigated, respectively. Finally, the feasibility test was verified. The test results show that the rebound-collision impact amplifier motion model is in good agreement with the theoretical model. Acceleration magnification decreases with increasing mass ratio and increases with increasing collision duration ratio. The ideal reserved clearance can be found to make the acceleration of the amplification platform obtain the maximum value. Selecting the ideal reserved clearance is more conducive to impact amplification.
{"title":"Amplification effect and influencing factors of rebound-collision impact amplifier","authors":"Ye Shi, Lei Lei, Ming Yan, Xiping Gu","doi":"10.1177/10775463241255757","DOIUrl":"https://doi.org/10.1177/10775463241255757","url":null,"abstract":"In strong impact environment, traditional impact test platform cannot obtain high peak acceleration, resulting in products being hindered in the testing process. The objective of this paper is to build the rebound-collision impact amplifier that can be used in a strong impact environment and to investigate its mechanism, influencing factors, and amplification effect. The kinematic model of the rebound-collision impact amplifier was established by combining dynamic contact theory with classical collision theory, considering energy loss, and introducing collision recovery coefficient. A theoretical formula for calculating acceleration and acceleration magnification was derived. The effects of the collision duration ratio, the mass ratio of the amplification platform to the falling platform, and the reserved clearance on the acceleration magnification were investigated, respectively. Finally, the feasibility test was verified. The test results show that the rebound-collision impact amplifier motion model is in good agreement with the theoretical model. Acceleration magnification decreases with increasing mass ratio and increases with increasing collision duration ratio. The ideal reserved clearance can be found to make the acceleration of the amplification platform obtain the maximum value. Selecting the ideal reserved clearance is more conducive to impact amplification.","PeriodicalId":17511,"journal":{"name":"Journal of Vibration and Control","volume":"43 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141744665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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