Article
Mathematics, Applied
Tianxiao Cao, Yuda Hu
Summary: This paper investigates the magnetoelastic primary resonance and bifurcation of an axially moving ferromagnetic plate under harmonic magnetic force. The nonlinear magnetoelastic transverse vibration equation of the plate is derived based on the Hamilton principle. The multiscale method is used to solve the nonlinear primary resonance and analyze the effects of control parameters on the dynamic response and stability of the system.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Applied
Yanqing Wang, Han Wu, Fengliu Yang, Quan Wang
Summary: An efficient method has been developed to investigate the vibration and stability of moving plates immersed in fluid using the Kirchhoff plate theory and finite element method. The study shows that the natural frequency of the submersed moving plates decreases with an increase in the axial speed, leading to a coupling phenomenon between the first- and second-order modes. Additionally, the natural frequency decreases with an increase in fluid density or immersion level, and significantly drops if the plate is located near a rigid wall.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2021)
Article
Engineering, Multidisciplinary
Sajid Ali, Muhammad A. Hawwab
Summary: This paper presents a finite difference approach as the most reliable technique for investigating the non-linear transverse vibration of an axially moving beam. The governing hyperbolic partial differential equation is derived using Hamilton's principle and then converted into a system of coupled first-order ordinary differential equations using finite difference and state space methods. The proposed finite difference model is compared with numerical and analytical models, and it shows excellent agreement with the analytical solutions. A parametric study is also conducted to examine the impact of system parameters on the transverse response, and the coupled effect of the axially moving beam and rotating rolls is considered.
AIN SHAMS ENGINEERING JOURNAL
(2023)
Article
Engineering, Civil
Zhe Li, Yi Li, Yuda Hu
Summary: This paper investigates the principal parametric resonance of an axially moving piezoelectric rectangular thin plate under thermal and electric field. The vibration equation is derived based on the Kirchhoff-Love plate theory and Von Karman theory, and is then discretized using Galerkin's method. The numerical results analyze the influences of various parameters on the system's vibration performance and stability, and discuss the effects of bifurcation control parameters on the nonlinear dynamic characteristics of the system.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mathematics, Applied
Zohreh Eskandari, Zakieh Avazzadeh, Reza Khoshsiar Ghaziani, Bo Li
Summary: A newly disclosed nonstandard finite difference method was used to discretize a prey-predator model, and the critical normal form coefficients of bifurcations for both one-parameter and two-parameter bifurcations were investigated. The model exhibited various local bifurcations such as period-doubling, Neimark-Sacker, and strong resonances. The analysis of critical normal form coefficients revealed the dynamical scenarios corresponding to each bifurcation point. Numerical simulations using Matlab package validated the theoretical analysis and provided ecological insights.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Physics, Applied
Jing Wang, Huoming Shen, Bo Zhang, Jianqiang Sun, Yuanyuan Zhang
Summary: The study establishes a model for the vibration of axially moving nanobeams and analyzes the effects of scale parameters on the motion forms, revealing the existence of periodic, period-doubling, and chaotic motions. Two routes to chaos - period-doubling bifurcation and intermittent chaos - are identified within the ranges of the two scale parameters.
MODERN PHYSICS LETTERS B
(2021)
Article
Engineering, Electrical & Electronic
Man Zhang, Ji-Xian Dong
Summary: The transverse vibration of axially moving trapezoidal plates was investigated by establishing a differential equation and calculating the complex frequency curve to analyze instability types. The results showed the presence of two main instability types: divergence and flutter, with different modal orders related to the parameters of the trapezoidal plate.
JOURNAL OF NANOELECTRONICS AND OPTOELECTRONICS
(2021)
Article
Engineering, Mechanical
Guo Yao, Zhengbo Xie, Lisha Zhu, Yimin Zhang
Summary: This paper studies the nonlinear primary resonances of an axially moving plate in an aero-thermal environment, focusing on the manufacturing background of hot rolling. The equation of motion is established using Burger's nonlinear plate theory, with consideration for the effect of temperature change on structural modeling. The research shows that with increasing axial speed, flow velocity, and temperature change, the resonance frequency of the plate decreases, while the resonance amplitude increases.
NONLINEAR DYNAMICS
(2021)
Article
Thermodynamics
Yunhe Xi, Xinyan Li, Yuanhao Wang, Bo Xu, Ningfei Wang, Dan Zhao
Summary: This study experimentally explores the transition to instability in a Rijke-type thermoacoustic system with axially distributed heat source. The results show that the characteristics of the heat source, mass flow rate, and tube materials have significant influences on the dynamic behaviors and stability boundaries of the system. Large-amplitude limit cycle and subcritical/supercritical bifurcations are observed.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Engineering, Mechanical
Hao-Xuan Ding, Gui-Lin She
Summary: This paper investigates the nonlinear dynamics of axially moving cylindrical shells under coupled longitudinal and transverse excitations. The motion equations and vibration response method are formulated, and numerical results reveal the occurrence of unexpected internal stable/unstable loops. The bifurcation curves of combined resonance can be regulated and supported by parametric resonance.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Amin Moslemi, S. E. Khadem, Mostafa Khazaee, Atoosa Davarpanah
Summary: This paper investigates the forced vibration and dynamic stability of a simply supported axially moving beam coupled to a nonlinear energy sink for passive vibration control. The results show that increasing the beam velocity reduces the saddle node and Hopf bifurcations boundaries, as well as the absorber performance. Additionally, the excitation frequency entering the SMR region decreases with increasing beam velocity and external force magnitude.
NONLINEAR DYNAMICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Yan Yan, Jia-Xuan Li, Wen-Quan Wang
Summary: The paper investigates the nonlinear subharmonic resonance of an axially moving nanoscale beam with time-dependent velocity controlled by displacement and velocity time delay. The frequency response equation is derived using the multiple scales method and the stable intervals of the system's solutions are determined, along with the necessary and sufficient conditions for Hopf bifurcation. The effects of nonlocal parameter, displacement feedback gain coefficient, velocity feedback gain coefficient, displacement and velocity time delay on the system's dynamic behaviors are analyzed. The research results provide a theoretical reference for the design and optimization of axially moving nanostructures.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mechanics
Pouya Shakouri, M. R. Ghazavi, Majid Shahgholi, Arash Mohamadi
Summary: This paper investigates the behavior of axially moving simply supported cylindrical nanoshells in terms of dynamic stability and linear free vibrations, considering the effect of surface stress. The Gurtin-Murdoch theory and Love's shell theory are used to derive the governing equations, and the Galerkin method and MAPLE software are employed to transform the equations into time-dependent and obtain eigenvalues. The results are presented in temporal and frequency responses, analyzing the effects of nano dimensions, velocity changes, surface parameters, and geometric parameters on the system's dynamic behavior.
Article
Engineering, Civil
S. F. Lu, N. Xue, W. Zhang, X. J. Song, W. S. Ma
Summary: The dynamic stability of an axially moving graphene reinforced laminated composite plate is studied by determining the distribution of graphene and deriving the motion equations using different methods. The influence of graphene reinforcement on critical and flutter velocities of the plate is analyzed, and the instability region for plates with varied velocity is evaluated.
THIN-WALLED STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Kevin Orloske
Summary: This paper studies the equilibrium equations for the coupled flexural-flexural-torsional-extensional mechanics of an axially moving beam with initial tension. Numerical solutions are presented for two types of boundary misalignment that result in out-of-plane flexural-torsional equilibria. The governing equations cannot be expressed in first-order form with all non-linear terms and appear to be missing boundary conditions, complicating the numerical solution. The results are compared to an existing reduced model, confirming previously employed simplifying assumptions. Finally, an alternative form of the equations of motion is derived that is simpler and consists of only polynomial non-linearities, capturing the behavior studied with only a small reduction in accuracy compared to other models.
MATHEMATICS AND MECHANICS OF SOLIDS
(2023)
Article
Acoustics
Guo-Xu Wang, Hu Ding, Li-Qun Chen
Summary: This paper proposes a global control strategy for the primary system and absorber using the differential evolution algorithm, achieving decent vibration mitigation and decreasing the global response.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mathematics, Applied
Jian-Guo Cui, Mu-Qing Niu, Li-Qun Chen, Tianzhi Yang
Summary: An asymmetrical propagation of acoustic waves is achieved using a conical granular chain. The size of the chain is gradually changed through Hertzian contacts. Theoretical modeling and numerical analysis are employed to investigate the diode-like propagation behavior. The results demonstrate that the chain can either block or allow the low-frequency acoustic waves depending on different configurations and driving amplitudes in a wide frequency range.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mechanics
Jian Xue, Li-Qun Chen
Summary: A semi-analytical method is proposed to study the free and forced vibrations of a thin square binary material configuration plate with circular plate-type resonators. The method accurately predicts the vibration characteristics of the plate by modeling the resonator and host plate separately and coupling them through displacement compatibility. The effects of boundary conditions, mass location, and material properties on the vibration are explored.
Article
Materials Science, Multidisciplinary
Lanfeng Deng, Mu-Qing Niu, Yimin Fan, Li-Qun Chen
Summary: This paper presents an efficient mesh updating scheme (MUS) for an arbitrarily curved beam based on the corotational method. By discretizing the beam using both Lagrangian elements and ALE elements, the proposed MUS takes advantage of both formulations while avoiding negative influence on element accuracy and stiffness matrix singularity.
ACTA MECHANICA SOLIDA SINICA
(2023)
Article
Acoustics
Wen-Ju Han, Ze-Qi Lu, Mu-Qing Niu, Li-Qun Chen
Summary: This study investigates a novel type of vibration isolator with high-static-low-dynamic stiffness using a NiTiNOL circular ring. The nonlinear restoring and damping force of the NiTiNOL circular ring is fitted using a restoring force surface method. The experimental results validate the analytical outcomes, demonstrating the superior vibration isolation performance of the NiTiNOL circular ring-type isolator.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Engineering, Mechanical
Wen-Hang Liu, Ze-Qi Lu, Rong-Biao Hao, Hu Ding, Li-Qun Chen
Summary: This study investigates the transverse vibration characteristics of an axially loaded beam using parallel-coupled nonlinear isolators to improve low-frequency vibration isolation. The nonlinear isolators employ double annular magnets and spiral springs to achieve high static and low dynamic stiffness suitable for low-frequency vibration isolation. A novel approach is proposed to analyze the frequency response functions of power flow for strongly nonlinear discrete and continuum coupled systems. The results demonstrate that the frequency response function of power flow can effectively deal with transverse vibrations in non-co-located excitation sources and isolation objects. The parallel-coupled nonlinear vibration isolator can decrease the energy transmission of high-order modal vibrations of the continuum, providing significant vibration suppression at low frequencies. Parametric studies show that increasing the beam length and initial axial force can reduce the resonant frequency and broaden the vibration isolation frequency band. An experiment is conducted to validate the accuracy of the theoretical model.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Review
Engineering, Mechanical
Li-Qun Chen, Yimin Fan
Summary: Vibration-based energy harvesters (VEHs) utilize undesirable ambient vibrations to convert kinetic energy into electricity. Internal resonance, characterized by nonlinear modal couplings, has been extensively studied and applied in various fields. This review summarizes the utilization of internal resonance in VEHs, evaluates the performance of state-of-the-art devices, and provides guidance for future investigations.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Li -Fang Lin, Ze-Qi Lu, Long Zhao, Yi-Sheng Zheng, Hu Ding, Li-Qun Chen
Summary: Mechatronic metamaterials with tunable bandgaps are studied for vibration isolation. A mechatronic metamaterial beam with inductor-resistor-capacitor (LRC) shunting circuits is discussed, and its bandgaps can be adjusted by changing the circuit parameters. Experimental and analytical results support the effectiveness of the tunable bandgaps in achieving low-frequency vibration isolation. Electric parameters affect the position of the mechatronic resonant bandgap, allowing for customization of the vibration isolation frequency range.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Mechanical
Zengrui Yuan, Mu-Qing Niu, Hongtu Ma, Tao Gao, Jian Zang, Yewei Zhang, Li- Qun Chen
Summary: This study conducted tests on different hardness nitrile butadiene rubber blocks at different loading rates to determine their stress-strain relationships. It also introduced an artificial neural network model to predict the mechanical behaviors of rubber for the first time. A self-adjusting particle swarm optimization was proposed to optimize the network's weights and thresholds. The results showed that the proposed model improved accuracy and convergence speed, and the predicted stress-strain relationships had a mean square error of 1.611 x 10-4.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Acoustics
Yong Wang, Bingbing Xu, Jianguo Dai, Li-Qun Chen
Summary: An inerter-based nonlinear energy sink (INES) is proposed by replacing the mass in the traditional nonlinear energy sink (NES) with an inerter, combining the benefits of both the mass amplification effect of the inerter and the vibration dissipation effect of the NES, to achieve lightweight design and further reduce the vibration of the main structure.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Engineering, Mechanical
Sha Wei, Xu-Long Li, Hu Ding, Li-Qun Chen
Summary: This paper proposes a two-step method for nonlinear localization of multi-degree-of-freedom (MDOF) systems with multiple local nonlinearities. The method achieves accurate nonlinear localization by performing subset nonlinearity detection to narrow down the localization range and using candidate nonlinear basis functions to confirm the connections. The accuracy and effectiveness of the method are verified through numerical examples and an experimental study.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Zhong Liang, Ze-Qi Lu, Hu Ding, Li-Qun Chen
Summary: We used a quasi-zero stiffness supported nonlinear moving-coil diaphragm in a nonlinear active acoustic insulation system to achieve target energy transfer and broaden the insulation frequency bandwidth. We established an electromechanical acoustic coupling model and approximated the frequency response using the harmonic balance method. The effects of geometrical parameters and shunting circuit gains were analyzed and validated through experimental design and semi-physical simulation.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Ke-Fan Xu, Mu-Qing Niu, Ye -Wei Zhang, Cun-Ying Meng, Li-Qun Chen
Summary: A novel nonlinear energy sink with active varying stiffness (NES-AVS) is proposed for reducing the mass of the conventional NES and enhancing the vibration reduction effects in spacecraft structures. Experimental and theoretical analysis demonstrate that the NES-AVS has better vibration reduction effects compared to the conventional NES and its mass is reduced by 90%.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Ye -Wei Zhang, Zhi-Jian Wang, Meng Cao, Xu-Yuan Song, Jian Zang, Walter Lacarbonara, Li-Qun Chen
Summary: NiTiNOL steel wire ropes are selected for vibration control of composite structures. The dynamical modeling is built and theoretical analysis is carried out using different methods. Experimental results demonstrate the excellent vibration control ability of the NiTi-ST.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Acoustics
Meng-Yuan Hao, Hu Ding, Xiao-Ye Mao, Li-Qun Chen
Summary: This paper compares the characteristics of principal parametric resonance and combination resonance under parametric excitation for the first time. A dynamic model and equation are established, and numerical verification and analysis show that combination resonance may be more destructive than principal parametric resonance. Certain parameters can also affect the stability of the pipe.
JOURNAL OF SOUND AND VIBRATION
(2024)
