Article
Mechanics
Sanjay Kumar Raj, Bamadev Sahoo, Alok Ranjan Nayak, L. N. Panda
Summary: This study investigates the nonlinear characteristics of an axially moving viscoelastic beam of the Kelvin-Voigt model on a pulley mounting system, and provides important insights into the stability and bifurcation features of the system with changes in control parameters.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2022)
Article
Mechanics
Sanjay Kumar Raj, Bamadev Sahoo, Alok Ranjan Nayak, L. N. Panda
Summary: The current study analyzes the dynamic characteristics of a nonlinear system under parametric excitation and internal resonance. The method of multiple time scales is used to simplify the motion equation and obtain an approximate solution in the form of first-order partial differential equations. The model considers parameters such as viscoelasticity, geometric nonlinearity, Coriolis acceleration, and varying tension and velocity. The study examines the stability and bifurcations of the steady-state solution under a subcritical speed regime, taking into account the effects of internal and parametric frequency detuning parameters, fluctuating speed amplitude, and axial stiffness. The unique and interesting outcomes of this investigation offer theoretical insights for designing a traveling system.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Engineering, Mechanical
Sanjay Kumar Raj, Bamadev Sahoo, Alok Ranjan Nayak, L. N. Panda
Summary: In this study, the nonlinear dynamics of an axially accelerating viscoelastic beam on a pully mounting system were analyzed. The integro-partial differential equation of motion for the simply supported beam was solved analytically using the direct perturbation method of multiple time scales. The results revealed the influence of support stiffness parameter on the stability and bifurcation of the beam, as well as the impact of other parameters on the dynamic characteristics of the system.
NONLINEAR DYNAMICS
(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
Engineering, Electrical & Electronic
Yu A. Mazhirina, L. A. Mel'nikov, A. A. Sysoliatin, A. Konyukhov, K. S. Gochelashvili, Deepa Venkitesh, Suchita Sarkar
Summary: In this study, modulation instability in fibre with longitudinally varying dispersion and the associated parametric amplification were analysed. It was found that modulation instability can be observed even in the case of positive dispersion. Additionally, highly nonlinear fibre with periodic dispersion modulation was shown to be potentially attractive for use in parametric amplifiers with extended gain band, and issues related to the influence of SRS and SBS on the operation of parametric amplifiers were discussed.
QUANTUM ELECTRONICS
(2021)
Article
Engineering, Marine
Dingbang Yan, Shuangxi Guo, Yilun Li, Jixiang Song, Min Li, Weimin Chen
Summary: This study examines the dynamic characteristics and response of a flexible pipe under internal flow and axially-varying tension through FEM numerical simulations. Results show significant differences in stability and response compared to a pipe with uniform tension, with the time-spatial evolution of pipe displacement exhibiting a profound wave propagation effect.
Article
Mechanics
Qing Guo, Yongshou Liu, Bingqian Chen, Yuzhen Zhao
Summary: This study proposes an effective approach for stochastic natural frequency analysis of axially varying functionally graded material pipes conveying fluid by introducing the stochastic differential quadrature method and Kriging model to predict the statistical characteristics of natural frequency response.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Marine
Yun Gao, Lei Liu, Ganghui Pan, Shixiao Fu, Shenglin Chai, Chen Shi
Summary: This numerical study focuses on the vortex-induced vibration (VIV) responses of a flexible riser under different flow conditions using the wake oscillator model. The results show that the VIV displacement and frequency vary significantly with different flow profiles and tension models.
Article
Mechanics
Xiao-Jing Li, Yu-Da Hu, Wen-Qiang Li
Summary: This paper investigates the magneto-elastic superharmonic-principal parametric joint resonance of an axially variable-speed moving beam with magnetic force generated by parallel current-carrying wires. Nonlinear forced vibration equation is derived and solved using the Galerkin method and multiple-scale method. Results show that axial velocity has a larger impact on resonance frequency compared to current intensity, and increasing current intensity leads to a decrease in amplitude with possible transition from quasi-periodic motion to single-frequency periodic motion as current intensity increases and distance decreases.
ARCHIVE OF APPLIED MECHANICS
(2022)
Article
Engineering, Civil
Mengxue Xie, Yuda Hu, Haoran Xu
Summary: This paper studies the simultaneous resonance of a ferromagnetic thin plate in a time-varying magnetic field. The nonlinear vibration differential equation of the plate is obtained using the large deflection theory of thin plates and electromagnetic field theory. Numerical analysis reveals the variation of system resonance amplitude with parameter changes. The results show that the system has multiple solution regions and obvious nonlinear coupled characteristics.
EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION
(2023)
Article
Engineering, Mechanical
Hong Ying Li, Xi Bo Wang, Shu Meng Zhang, Jian Li
Summary: This paper investigates the nonlinear vibrations of axially moving plates partially immersed in fluid. The Galerkin method is used to solve the nonlinear vibration differential equation, revealing the effects of various parameters on the complex dynamics of the system. The study enriches the understanding of dynamic behaviors of fluid-structure coupling system.
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
(2021)
Proceedings Paper
Materials Science, Multidisciplinary
Pankaj Sharma, Barkha Gupta, S. K. Rathore
Summary: In this study, a parametric study is conducted to investigate the natural frequencies of an axially tapered functionally graded piezoelectric material (AFGPM) beam, taking into account the polynomial function of the beam width and the antilever boundary condition.
MATERIALS TODAY-PROCEEDINGS
(2022)
Article
Engineering, Multidisciplinary
Habib Arabi, Ahmad Bagheri, Gholam Reza Zarepour
Summary: This study investigates the transient response of a symmetric annular sandwich plate under external harmonic force and electrical voltage, incorporating factors such as functionally graded core and piezoelectric layers. Results indicate that oscillation amplitude decreases with increasing internal radius of the plate and higher index parameters are associated with a wider time response range. Additionally, the study includes stability analysis of a piezoelectric system using the theory of Markovian jump systems, showing satisfactory controller performance in the presence of external disturbances and system dynamics.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
(2021)
Article
Mechanics
Elahe Aghaei, Masoumeh Soltani, Azadeh Soltani, Rossana Dimitri, Francesco Tornabene
Summary: This paper presents a novel and low-cost formula for the stability analysis of tapered Timoshenko nanobeams with axially varying materials based on the first-order shear deformation theory and Eringen's nonlocal elasticity theory. The accuracy of the proposed formulation is verified against the available literature, with the additional advantage of reduced computational effort. A systematic investigation is performed to check for the influence of various parameters on the linear buckling strength of the nanobeams. The derived formula can be adjusted for the optimal design of Timoshenko nanobeams with favorable axial changes in material properties and geometrical features.
JOURNAL OF COMPUTATIONAL APPLIED MECHANICS
(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
Acoustics
Sha Wei, Hu Ding, Zhike Peng, Li-Qun Chen
Summary: Modal parameter identification is crucial for tracking structural vibrations and evaluating structural performances in the field of vibration and control. This study proposes a novel parameter identification method based on ICCD and the Hilbert transform, which decomposes the measured response signal into intrinsic chirp components and identifies the instantaneous modal parameters of the system using the Hilbert transform. Comparison with another method validates the better identification ability of the proposed method in estimating the instantaneous natural frequency of the system in the presence of noise.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Materials Science, Multidisciplinary
Meng-Yuan Hao, Hu Ding, Xiao-Ye Mao, Li-Qun Chen
Summary: This paper investigates the effects of elastic constraints on pipe stability and nonlinear responses under pulsating velocities. A mechanical model of a fluid-conveying pipe under elastic clamps is established and a partial differential-integral nonlinear equation governing the lateral vibration of the pipe is derived. The natural frequencies, mode functions, stable boundaries, and nonlinear steady-state responses of the pipe are obtained. Interesting conclusions are revealed, including the effects of constraint stiffness on the instability boundary and vibration responses of the fluid-conveying pipe.
ACTA MECHANICA SOLIDA SINICA
(2023)
Article
Engineering, Mechanical
Xiaofeng Geng, Hu Ding, Xingjian Jing, Xiaoye Mao, Kexiang Wei, Liqun Chen
Summary: This paper proposes a new nonlinear, non-contact magnetic force to limit the large vibration of the nonlinear energy sink (NES) oscillator. The dynamic characteristics of the magnetic-enhanced NES (ME-NES) are analyzed through experiments and numerical simulations, and the impact on the oscillator is summarized. The results show that the limiting effect of nonlinear magnetic force is better than that of linear force, and the proposed non-contact ME-NES is a reliable and efficient vibration reduction strategy.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Ran Wang, Hu Ding, Lijun Zhang, Dongsheng Zhang, Xuegang Yuan
Summary: This paper investigates the solitary waves and chaotic motions in an infinitely long cylinder with an internal heat source under external forces. By establishing a mathematical model and conducting qualitative and bifurcation analysis, the effects of structure boundary temperature on the traveling waves and the conditions for chaos are examined. Numerical simulations confirm the theoretical analysis and provide critical information for nondestructive testing of structures.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Yu-Fei Shao, Hu Ding
Summary: In this paper, the effect of gravity on the nonlinear vibration of a pipe conveying fluid is evaluated. The nonlinear vibration of the pipe with an intermediate elastic support is investigated, and the equilibrium configuration of the pipe caused by gravity is calculated. The influence of gravity on the vibration characteristics of the pipe is studied and the effects of gravity on the natural frequencies are illustrated.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Mechanical
Bo Dou, Hu Ding, Xiao-Ye Mao, Hui-Rong Feng, Li-Qun Chen
Summary: In this study, a novel dynamic model of the retaining clip for pipes is proposed, which allows for more accurate description of the pipe's vibration when restrained by a clip. The research findings show that the clip parameters have a nonlinear influence on the pipe's natural frequencies, and neglecting the clip width or modeling it as a boundary will result in noticeable errors. The change in clip stiffness affects the symmetry of the modes and the number and locations of modal nodes, while increasing the clip thickness or width significantly alters the modal shapes of symmetric modes.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(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)
Article
Thermodynamics
Meng Li, Xiang Li, Chongzao Gan, Jiali Zeng, Linchuan Zhao, Hu Ding, Kexiang Wei, Hongxiang Zou
Summary: This study proposes a quasi-zero stiffness energy harvesting backpack (QZS-EHB) that utilizes a bistable mechanism to generate snapthrough action and improve the electromechanical conversion efficiency. The performance of the harvester is investigated through experiments, and results show that it can provide emergency power for outdoor activities. The QZS-EHB can light up LED lamps, charge cell phones, and enable self-powered localization and wireless information transmission.
ENERGY CONVERSION AND MANAGEMENT
(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
Xin Fan, Chang-An Zhu, Xiao-Ye Mao, Hu Ding
Summary: This article investigates the multi-modal resonance regulation of a hydraulic pipe using multiple boundary excitations. By optimizing the phase angle and amplitude of the excitations, the multi-modal resonance of the pipe can be reduced. The study highlights that the phase angle of the moment excitation has the same effect on different modal resonances, which is advantageous for reducing resonance. Additionally, adjusting the phase angle or amplitude of the boundary excitations can achieve multi-modal resonance control.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Engineering, Mechanical
You-cheng Zeng, Hu Ding, Jin-Chen Ji, Xing-Jian Jing, Li-Qun Chen
Summary: This paper proposes a new type of nonlinear energy sink (TNES) that can achieve different stable states by adjusting geometric parameters. The TNES has been shown to have better vibration reduction performance under strong excitation and can expand the effective range of vibration reduction.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Engineering, Mechanical
Jia-Rui Yuan, Hu Ding
Summary: Due to the lack of advanced models and analytical methods, the study of pipe conveying fluid usually only considers the in-plane vibration of straight pipe. In order to fully understand the dynamic characteristics of curved pipe, a three-dimensional (3D) dynamic model based on the absolute nodal coordinate formulation (ANCF) is developed in this paper. The nonlinear dynamic equations of the pipe system are derived, and the natural frequencies and modes are calculated. The established model and method are verified and the effects of relevant parameters on the natural vibration of curved pipe are discussed.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Automation & Control Systems
Sun-Biao Li, Hu Ding
Summary: This study investigates the mechanical models of multiple NES cells coupled to linear oscillators and explores the impact of increasing the number of NES cells on the system's dynamic characteristics and vibration reduction performance. The results indicate that as the number of NES cells increases, the range of frequency islands in the system diminishes and the vibration reduction efficiency of the primary oscillator improves.
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL
(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)
