Pub Date : 2025-01-22DOI: 10.1016/j.jsv.2025.118954
Hamid Rashidi , Joachim Golliard , Thomas Humbert
In aeroacoustic engineering, precise measurements of liner impedance with grazing flow are crucial for optimizing noise reduction strategies. This paper introduces a novel 3D multimodal inverse method designed to educe the acoustic impedance of an acoustic liner in a large duct where many modes can propagate. The cost function is built as the difference between experimental and computed scattering matrices. Without flow, the educed impedance is shown to be in excellent agreement with the impedance measured for similar samples in a small duct where only plane waves propagate. Moreover, the multimodal scattering matrix offers more constraints on the cost function, which improves the method’s robustness at high frequencies. This 3D multimodal inverse method is also shown to provide relatively converged results in the presence of flows with mean Mach numbers up to 0.2, holding great promises for improving the design and the optimization of ducted systems in various engineering applications, such as aircraft engines and heating, ventilation, and air-conditioning (HVAC) systems.
{"title":"3D multimodal inverse method for liner impedance eduction","authors":"Hamid Rashidi , Joachim Golliard , Thomas Humbert","doi":"10.1016/j.jsv.2025.118954","DOIUrl":"10.1016/j.jsv.2025.118954","url":null,"abstract":"<div><div>In aeroacoustic engineering, precise measurements of liner impedance with grazing flow are crucial for optimizing noise reduction strategies. This paper introduces a novel 3D multimodal inverse method designed to educe the acoustic impedance of an acoustic liner in a large duct where many modes can propagate. The cost function is built as the difference between experimental and computed scattering matrices. Without flow, the educed impedance is shown to be in excellent agreement with the impedance measured for similar samples in a small duct where only plane waves propagate. Moreover, the multimodal scattering matrix offers more constraints on the cost function, which improves the method’s robustness at high frequencies. This 3D multimodal inverse method is also shown to provide relatively converged results in the presence of flows with mean Mach numbers up to 0.2, holding great promises for improving the design and the optimization of ducted systems in various engineering applications, such as aircraft engines and heating, ventilation, and air-conditioning (HVAC) systems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"605 ","pages":"Article 118954"},"PeriodicalIF":4.3,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143427594","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}
This study represents an advancement in the analysis of drilling systems with an anti-stall tool (AST), being the first to develop and apply a continuous drill string model inclusive of the AST dynamics and regenerative drilling effects. The regenerative effect, coming from the cutting process at the drill bit, brings in a complex time delay to the system and causes dynamic instability: the stick–slip vibrations. The AST, featuring a helical spline coupling, is shown to suppress hazardous stick–slip oscillations by transforming excessive external loads into internal relative motions. In this article, the dynamic behaviors as well as the time-delay affected stability were comprehensively analyzed based on the proposed drill-string model. Time-domain analysis reveals the dual role effects of the AST: it is shown to mitigate the stick–slip vibrations at high weight-on-bit and high rotational speeds, while potentially exacerbating the dynamics and stability under low rotational speeds. The stress distribution in the drill string is also shown to be balanced by the AST, which can convert high torsional shear stress into lower axial normal stress, reducing the overall von Mises effective stress. Subsequently, the parametric investigations are carried out and demonstrate that the AST’s structural parameters, particularly the lead of the helical spline, have a strong impact on the drilling stability. The optimized value of the lead of the helical spline is identified between 15 mm to 25 mm. Furthermore, the installation position of the AST is crucial, with an optimal distance from the drill bit of 60 to 100 meters being the most conducive to maintaining the drilling stability. Aiming at enhancing drilling efficiency and ensuring safety, this research provides a groundwork for understanding and optimizing an AST from the aspect of dynamics.
{"title":"Dynamic stability and optimization of a delay-affected drill string with an anti-stall tool","authors":"Xiangyu Hou , Yihan Zhou , Guang Meng , Xianbo Liu","doi":"10.1016/j.jsv.2025.118960","DOIUrl":"10.1016/j.jsv.2025.118960","url":null,"abstract":"<div><div>This study represents an advancement in the analysis of drilling systems with an anti-stall tool (AST), being the first to develop and apply a continuous drill string model inclusive of the AST dynamics and regenerative drilling effects. The regenerative effect, coming from the cutting process at the drill bit, brings in a complex time delay to the system and causes dynamic instability: the stick–slip vibrations. The AST, featuring a helical spline coupling, is shown to suppress hazardous stick–slip oscillations by transforming excessive external loads into internal relative motions. In this article, the dynamic behaviors as well as the time-delay affected stability were comprehensively analyzed based on the proposed drill-string model. Time-domain analysis reveals the dual role effects of the AST: it is shown to mitigate the stick–slip vibrations at high weight-on-bit and high rotational speeds, while potentially exacerbating the dynamics and stability under low rotational speeds. The stress distribution in the drill string is also shown to be balanced by the AST, which can convert high torsional shear stress into lower axial normal stress, reducing the overall von Mises effective stress. Subsequently, the parametric investigations are carried out and demonstrate that the AST’s structural parameters, particularly the lead of the helical spline, have a strong impact on the drilling stability. The optimized value of the lead of the helical spline is identified between 15 mm to 25 mm. Furthermore, the installation position of the AST is crucial, with an optimal distance from the drill bit of 60 to 100 meters being the most conducive to maintaining the drilling stability. Aiming at enhancing drilling efficiency and ensuring safety, this research provides a groundwork for understanding and optimizing an AST from the aspect of dynamics.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"604 ","pages":"Article 118960"},"PeriodicalIF":4.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143097474","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}
Pub Date : 2025-01-21DOI: 10.1016/j.jsv.2025.118953
Gabriel P. Araujo , José Augusto I. da Silva , Flávio D. Marques
Nonlinear Energy Sinks (NES) are passive vibration absorbers that transfer energy to a nonlinearly-attached secondary mass for passive dissipation at broad excitation ranges. Aeroelastic flutter is a potential application of NES passive control once it presents complex, self-excited, and self-sustained potentially harmful high-amplitude oscillations. When combined with a transducer mechanism, NES devices can perform simultaneous passive control and electricity generation, reusing otherwise dissipated structural energy. This work proposes an apparatus comprising a rotary Nonlinear Energy Sink coupled with an energy harvester (RNES-EH) to an aeroelastic typical section. A two-dof airfoil subjected to an unsteady aerodynamic load model is considered. A pitching hardening nonlinearity is adopted, inducing limit cycle oscillations in the post-critical response. The RNES-EH is introduced at the airfoil chord, and the aeroelastic electromechanical equations of motion are derived. Numeric characterization is performed on the basis of the behavior of the bifurcation and suppression regimes of the system for a reference device. A performance index is introduced to balance energy harvesting and vibration reduction. Parametric bifurcation analysis is carried out to determine the influence of parameter design on vibration mitigation and electricity generation. The device is reported to generate electric power without disrupting the suppression performance. Mechanically, a low-radius and high-mass device close to the leading edge and with some damping is required for optimal suppression, although performance is limited due to subcritical behavior. Optimal load resistance is determined for maximum electricity extraction. The results show that the concept is promising and viable for many aeroelastic and fluid–structure interaction problems.
{"title":"Energy harvesting and passive mitigation from flutter via rotary nonlinear energy sink","authors":"Gabriel P. Araujo , José Augusto I. da Silva , Flávio D. Marques","doi":"10.1016/j.jsv.2025.118953","DOIUrl":"10.1016/j.jsv.2025.118953","url":null,"abstract":"<div><div>Nonlinear Energy Sinks (NES) are passive vibration absorbers that transfer energy to a nonlinearly-attached secondary mass for passive dissipation at broad excitation ranges. Aeroelastic flutter is a potential application of NES passive control once it presents complex, self-excited, and self-sustained potentially harmful high-amplitude oscillations. When combined with a transducer mechanism, NES devices can perform simultaneous passive control and electricity generation, reusing otherwise dissipated structural energy. This work proposes an apparatus comprising a rotary Nonlinear Energy Sink coupled with an energy harvester (RNES-EH) to an aeroelastic typical section. A two-<em>dof</em> airfoil subjected to an unsteady aerodynamic load model is considered. A pitching hardening nonlinearity is adopted, inducing limit cycle oscillations in the post-critical response. The RNES-EH is introduced at the airfoil chord, and the aeroelastic electromechanical equations of motion are derived. Numeric characterization is performed on the basis of the behavior of the bifurcation and suppression regimes of the system for a reference device. A performance index is introduced to balance energy harvesting and vibration reduction. Parametric bifurcation analysis is carried out to determine the influence of parameter design on vibration mitigation and electricity generation. The device is reported to generate electric power without disrupting the suppression performance. Mechanically, a low-radius and high-mass device close to the leading edge and with some damping is required for optimal suppression, although performance is limited due to subcritical behavior. Optimal load resistance is determined for maximum electricity extraction. The results show that the concept is promising and viable for many aeroelastic and fluid–structure interaction problems.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"603 ","pages":"Article 118953"},"PeriodicalIF":4.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143142332","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}
Pub Date : 2025-01-21DOI: 10.1016/j.jsv.2025.118974
Shiwen Feng , Q.M. Li
The elastic wave propagation in gradient porous composite depends highly on the porosity gradient. There are limited theoretical studies to understand the wave propagation behavior in such composite mainly due to the lack of efficient and accurate modeling tools. To address this issue, a moving homogenization model is developed to characterize wave propagation behavior in gradient porous composites when the multiple wave scattering caused by cavities with gradient porosity is considered. The gradient porous composite is approximated by a series of segments with piecewise uniform porosities in order to meet the condition to employ the multiple scattering model developed by Waterman and Truell [P.C. Waterman, R. Truell, Multiple scattering of waves, Journal of Mathematical Physics 2 (1961) 512-537] in each segment. The moving average technique is applied to consider the multiple scattering effects from cavities in other segments. The moving homogenization model based on modified double moving average is formulated to obtain the equivalent complex wavenumber for each segment to allow the prediction of the wave propagation through these segments. The proposed model is verified numerically by meso-scale finite element simulations of the anti-plane shear horizonal (SH) wave propagation in a gradient porous composite. The validity conditions of the proposed model are determined analytically and numerically. Finally, a parametric analysis is conducted to reveal the gradient variation effects on wave propagation behavior.
{"title":"Moving homogenization model for elastic wave propagation in a porous composite with gradient porosity","authors":"Shiwen Feng , Q.M. Li","doi":"10.1016/j.jsv.2025.118974","DOIUrl":"10.1016/j.jsv.2025.118974","url":null,"abstract":"<div><div>The elastic wave propagation in gradient porous composite depends highly on the porosity gradient. There are limited theoretical studies to understand the wave propagation behavior in such composite mainly due to the lack of efficient and accurate modeling tools. To address this issue, a moving homogenization model is developed to characterize wave propagation behavior in gradient porous composites when the multiple wave scattering caused by cavities with gradient porosity is considered. The gradient porous composite is approximated by a series of segments with piecewise uniform porosities in order to meet the condition to employ the multiple scattering model developed by Waterman and Truell [P.C. Waterman, R. Truell, Multiple scattering of waves, Journal of Mathematical Physics 2 (1961) 512-537] in each segment. The moving average technique is applied to consider the multiple scattering effects from cavities in other segments. The moving homogenization model based on modified double moving average is formulated to obtain the equivalent complex wavenumber for each segment to allow the prediction of the wave propagation through these segments. The proposed model is verified numerically by meso-scale finite element simulations of the anti-plane shear horizonal (SH) wave propagation in a gradient porous composite. The validity conditions of the proposed model are determined analytically and numerically. Finally, a parametric analysis is conducted to reveal the gradient variation effects on wave propagation behavior.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"603 ","pages":"Article 118974"},"PeriodicalIF":4.3,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143142331","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}
Pub Date : 2025-01-20DOI: 10.1016/j.jsv.2025.118957
F.L. Liao , J.L. Huang , W.D. Zhu
Nonlinear vibration of a gear transmission system considering time-varying mesh stiffness (TVMS) and time-varying supporting stiffness (TVSS) caused by variable numbers of engaged teeth of gears and contacted rolling elements of bearings, respectively, is investigated in detail in this work. The lumped mass method is employed to simplify the gear transmission system as a three degree-of-freedom (DOF) model system with piecewise linear stiffness caused by backlashes and clearances of bearings under forced excitations and parametric excitations due to TVMS and TVSS. To obtain nonlinear vibration of the gear transmission system, ordinary differential equations that represent a three-DOF model system are established by employing the Newton’s second law. An incremental harmonic balance (IHB) method is proposed to determine periodic responses of the gear transmission system. The modified Floquet theory is applied to examine stability of periodic responses of the gear transmission system. Some interesting phenomena that exist in periodic responses including softening-spring characteristics, resonances, and bifurcations are revealed. In particular, effects of TVMS and TVSS can generate different types of resonances. Increased responses are obtained in this case, as compared to the case without TVMS and TVSS. Analytical results obtained by the IHB method are in agreement with those from numerical integration.
{"title":"Investigation on nonlinear vibration of a gear transmission system considering time-varying mesh stiffness and time-varying supporting stiffness","authors":"F.L. Liao , J.L. Huang , W.D. Zhu","doi":"10.1016/j.jsv.2025.118957","DOIUrl":"10.1016/j.jsv.2025.118957","url":null,"abstract":"<div><div>Nonlinear vibration of a gear transmission system considering time-varying mesh stiffness (TVMS) and time-varying supporting stiffness (TVSS) caused by variable numbers of engaged teeth of gears and contacted rolling elements of bearings, respectively, is investigated in detail in this work. The lumped mass method is employed to simplify the gear transmission system as a three degree-of-freedom (DOF) model system with piecewise linear stiffness caused by backlashes and clearances of bearings under forced excitations and parametric excitations due to TVMS and TVSS. To obtain nonlinear vibration of the gear transmission system, ordinary differential equations that represent a three-DOF model system are established by employing the Newton’s second law. An incremental harmonic balance (IHB) method is proposed to determine periodic responses of the gear transmission system. The modified Floquet theory is applied to examine stability of periodic responses of the gear transmission system. Some interesting phenomena that exist in periodic responses including softening-spring characteristics, resonances, and bifurcations are revealed. In particular, effects of TVMS and TVSS can generate different types of resonances. Increased responses are obtained in this case, as compared to the case without TVMS and TVSS. Analytical results obtained by the IHB method are in agreement with those from numerical integration.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"603 ","pages":"Article 118957"},"PeriodicalIF":4.3,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143143149","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}
Pub Date : 2025-01-20DOI: 10.1016/j.jsv.2025.118970
Ndubuisi Uchendu, Jennifer M. Muggleton, Paul R. White
This paper proposes a method for estimating wave speed and locating leaks in water pipes using multipath identification techniques. The wave speed and leak location are determined simultaneously from the relative arrival times of reflections in acoustic leak signals. Two multipath identification techniques based on the autocorrelation function and power cepstrum are derived and analysed for identifying reflections. Results show that the power cepstral technique is more robust and accurate than the autocorrelation technique. Analysis of simulation and experimental data acquired on a leakage test rig demonstrates that the proposed method is effective for locating leaks, outperforming the commonly used cross-correlation method in some cases. A practical advantage of the proposed method is capability to locate leaks without a priori knowledge of the wave speed.
{"title":"Acoustic leak localisation based on multipath identification","authors":"Ndubuisi Uchendu, Jennifer M. Muggleton, Paul R. White","doi":"10.1016/j.jsv.2025.118970","DOIUrl":"10.1016/j.jsv.2025.118970","url":null,"abstract":"<div><div>This paper proposes a method for estimating wave speed and locating leaks in water pipes using multipath identification techniques. The wave speed and leak location are determined simultaneously from the relative arrival times of reflections in acoustic leak signals. Two multipath identification techniques based on the autocorrelation function and power cepstrum are derived and analysed for identifying reflections. Results show that the power cepstral technique is more robust and accurate than the autocorrelation technique. Analysis of simulation and experimental data acquired on a leakage test rig demonstrates that the proposed method is effective for locating leaks, outperforming the commonly used cross-correlation method in some cases. A practical advantage of the proposed method is capability to locate leaks without a priori knowledge of the wave speed.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118970"},"PeriodicalIF":4.3,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157852","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}
Pub Date : 2025-01-18DOI: 10.1016/j.jsv.2025.118949
Ming Zhang , Hongtao Li , Lei Zhang , Feng Sun , Xingwei Sun , Koichi Oka
{"title":"Corrigendum to “A dual-mode hybrid magnetic high-static-low-dynamic stiffness vibration isolator” [ Journal of Sound and Vibration 599C (2025) 118906]","authors":"Ming Zhang , Hongtao Li , Lei Zhang , Feng Sun , Xingwei Sun , Koichi Oka","doi":"10.1016/j.jsv.2025.118949","DOIUrl":"10.1016/j.jsv.2025.118949","url":null,"abstract":"","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118949"},"PeriodicalIF":4.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157851","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}
Pub Date : 2025-01-18DOI: 10.1016/j.jsv.2025.118951
Stefano Lenci , Lukasz Kloda
The nonlinear oscillations of a kinematically exact curved beam are investigated by means of the multiple time scale method applied directly to partial differential equations of motion. A linear constitutive behaviour is assumed, and the bending strain is the (change of) mechanical curvature. A dependence of natural frequencies and nonlinear correction coefficients (describing the nonlinear behaviour of the beam) on the initial curvature is investigated for the first six modes for a case of hinged–hinged boundary conditions. The occurrence of internal resonances is discussed, and a complex behaviour of the functions is illustrated in detail. A comparison is made with the results obtained by the single mode Galerkin approximation, showing that the latter yields incorrect results. Finally, the analytical solution is validated by comparing it with numerical simulations obtained by the finite element method.
{"title":"Nonlinear vibrations of kinematically exact curved beams","authors":"Stefano Lenci , Lukasz Kloda","doi":"10.1016/j.jsv.2025.118951","DOIUrl":"10.1016/j.jsv.2025.118951","url":null,"abstract":"<div><div>The nonlinear oscillations of a kinematically exact curved beam are investigated by means of the multiple time scale method applied directly to partial differential equations of motion. A linear constitutive behaviour is assumed, and the bending strain is the (change of) mechanical curvature. A dependence of natural frequencies <span><math><msub><mrow><mi>ω</mi></mrow><mrow><mi>i</mi></mrow></msub></math></span> and nonlinear correction coefficients <span><math><mrow><mi>n</mi><mi>c</mi><msub><mrow><mi>c</mi></mrow><mrow><mi>i</mi></mrow></msub></mrow></math></span> (describing the nonlinear behaviour of the beam) on the initial curvature <span><math><mi>α</mi></math></span> is investigated for the first six modes for a case of hinged–hinged boundary conditions. The occurrence of internal resonances is discussed, and a complex behaviour of the functions <span><math><mrow><mi>n</mi><mi>c</mi><msub><mrow><mi>c</mi></mrow><mrow><mi>i</mi></mrow></msub><mrow><mo>(</mo><mi>α</mi><mo>)</mo></mrow></mrow></math></span> is illustrated in detail. A comparison is made with the results obtained by the single mode Galerkin approximation, showing that the latter yields incorrect results. Finally, the analytical solution is validated by comparing it with numerical simulations obtained by the finite element method.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118951"},"PeriodicalIF":4.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157850","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}
Pub Date : 2025-01-18DOI: 10.1016/j.jsv.2025.118961
Youliang Xu , Xuefeng Wang , Zhan Shi , Zunhao Xiao , Yutao Xu , Zhonghua Liu , Xueyong Wei , Ronghua Huan
Parametric resonance, with its remarkable signal amplification capabilities, holds great potential in areas such as sensing, warning detection, and energy harvesting. However, its practical applications are limited by the high excitation threshold required to trigger parametric resonance and the narrow instability region in which it occurs. To address this limitation, this paper presents a method for tuning the parametric resonance threshold in micro-resonators based on the electrothermal effect. The nonlinear dynamic model for a parametric excited micro-resonator is established. Theoretical analysis is conducted to reveal the influence of frequency and damping on the parametric instability region, which indicates that reducing the vibration frequency can decrease the parametric instability threshold while expanding the parametric instability region. Subsequently, the electrothermal current is applied to the body of the micro-resonator. The influence of the electrothermal effect on the dynamic behavior of the resonator is investigated. It is observed that the vibration frequency could be reduced from 125 kHz to 25 kHz, and the rate of frequency change accelerates under high current condition. Finally, the electrothermal effect is used to regulate both the threshold and bandwidth of the parametric instability region. Experimental results demonstrate that, under frequency-sensitive conditions, the electrothermal effect effectively reduces the threshold by 71% and broadens the instability region's bandwidth. This study is expected to provide technical support for the practical applications of parametric resonance.
{"title":"Parametric resonance threshold regulation based on electrothermal effect","authors":"Youliang Xu , Xuefeng Wang , Zhan Shi , Zunhao Xiao , Yutao Xu , Zhonghua Liu , Xueyong Wei , Ronghua Huan","doi":"10.1016/j.jsv.2025.118961","DOIUrl":"10.1016/j.jsv.2025.118961","url":null,"abstract":"<div><div>Parametric resonance, with its remarkable signal amplification capabilities, holds great potential in areas such as sensing, warning detection, and energy harvesting. However, its practical applications are limited by the high excitation threshold required to trigger parametric resonance and the narrow instability region in which it occurs. To address this limitation, this paper presents a method for tuning the parametric resonance threshold in micro-resonators based on the electrothermal effect. The nonlinear dynamic model for a parametric excited micro-resonator is established. Theoretical analysis is conducted to reveal the influence of frequency and damping on the parametric instability region, which indicates that reducing the vibration frequency can decrease the parametric instability threshold while expanding the parametric instability region. Subsequently, the electrothermal current is applied to the body of the micro-resonator. The influence of the electrothermal effect on the dynamic behavior of the resonator is investigated. It is observed that the vibration frequency could be reduced from 125 kHz to 25 kHz, and the rate of frequency change accelerates under high current condition. Finally, the electrothermal effect is used to regulate both the threshold and bandwidth of the parametric instability region. Experimental results demonstrate that, under frequency-sensitive conditions, the electrothermal effect effectively reduces the threshold by 71% and broadens the instability region's bandwidth. This study is expected to provide technical support for the practical applications of parametric resonance.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"602 ","pages":"Article 118961"},"PeriodicalIF":4.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143157849","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}
Pub Date : 2025-01-18DOI: 10.1016/j.jsv.2025.118963
Yasai Nie , Tieding Guo , Stefano Lenci
The frequency detuning idea is further examined and fully extended to develop a refined multi-scale analysis procedure for more generic nonlinear systems of an inertially/damping/geometrical nonlinear type, aiming for a superior performance of predicting high-amplitude nonlinear responses, at the same time, without requiring a higher-order perturbation development. Briefly, frequency detuning means weakly nonlinear analysis/expansion is unfolded around a nonlinear oscillation problem, which is associated with a nonlinear (response) frequency rather than the commonly used linear frequency (i.e., perturbation around a nonlinear problem). Both frequency response curves (FRCs) and backbone curves (BBCs) are leveraged for a full comparison study regarding (frequency) detuned vs. traditional multi-scale methods (dMSM vs. MSM), with reference to numerical ones for verification. The results demonstrate superiority of dMSM in high-amplitude region when frequency detuning is employed.
{"title":"A refined multi-scale analysis of complex systems using frequency detuning: Perturbation around a nonlinear problem","authors":"Yasai Nie , Tieding Guo , Stefano Lenci","doi":"10.1016/j.jsv.2025.118963","DOIUrl":"10.1016/j.jsv.2025.118963","url":null,"abstract":"<div><div>The <em>frequency detuning</em> idea is further examined and fully extended to develop a refined multi-scale analysis procedure for more generic nonlinear systems of an inertially/damping/geometrical nonlinear type, aiming for a superior performance of predicting high-amplitude nonlinear responses, at the same time, without requiring a higher-order perturbation development. Briefly, frequency detuning means weakly nonlinear analysis/expansion is unfolded around a <em>nonlinear</em> oscillation problem, which is associated with a <em>nonlinear</em> (<em>response</em>) <em>frequency</em> rather than the commonly used linear frequency (i.e., perturbation around a nonlinear problem). Both frequency response curves (FRCs) and backbone curves (BBCs) are leveraged for a full comparison study regarding (frequency) detuned vs. traditional multi-scale methods (dMSM vs. MSM), with reference to numerical ones for verification. The results demonstrate superiority of dMSM in high-amplitude region when frequency detuning is employed.</div></div>","PeriodicalId":17233,"journal":{"name":"Journal of Sound and Vibration","volume":"603 ","pages":"Article 118963"},"PeriodicalIF":4.3,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143232660","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}
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