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Nonlinear Dynamics of Composite Microsheet with Graphene Skins in Non-uniform Thermal Field

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Acta Mechanica Solida Sinica 2020年第5期33卷 707-718页

作者： xiangying guo Pan Jiang Lin Sun Dongxing Cao College of Mechanical Engineering Beijing University of TechnologyBeijing100124China Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures Beijing100124China School of Mechanical Engineering Liaoning Shihua UniversityFushun113001China

The effects of different parameters on the nonlinear dynamic characteristics of macrofiber composite(MFC)microsheet with graphene(GP)skin under non-uniform thermal field are ***,the physical parameters of the MFC–GP structure are calculated by the mixing rule,and the constitutive equations of the structure are set up by employing the Eringen *** nonlinear dynamic equations of the microsheet are obtained by using Hamilton’s ***,the heat conduction equations of the microsheet are considered,adopting Green and Naghdi’s generalized thermoelasticity *** to the Galerkin weighted residual method,the thermoelasticity coupling equations of the structure are ***,the influence of the positive piezoelectric effect of GP and MFC on the vibration response of the structure is also *** nonlinear dynamic governing equations including displacement,coupled thermoelasticity,and electricity field are discretized by the Galerkin *** effects of non-local parameter,volume fraction of GP,and thermal and electricity coupling coefficients on structural dynamic behavior are discussed in the numerical simulation.

关键词： MFC-GP microsheet Non-uniform thermal field Nonlocal parameter Nonlinear dynamic responses

Dynamic responses of a piezoelectric cantilever plate under high-low excitations

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Acta Mechanica Sinica 2020年第1期36卷 234-244页

作者： xiangying guo Shuaibo Wang Lin Sun Dongxing Cao College of Mechanical Engineering Beijing University of TechnologyBeijing100124China Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures Beijing100124China School of Mechanical Engineering Liaoning Shihua UniversityFushun113001China

In this paper,the nonlinear dynamic responses of a piezoelectric cantilever plate near the first-order and second-order natural frequencies under the action of electromechanical coupling are studied by experiments and finite element(FE)*** influence of different excitation frequencies on the dynamical characteristics of piezoelectric cantilever plates is analyzed with the fixed excitation ***,an experimental setup is built,including a carbon fiber cantilever plate attached to a macro fiber composite(MFC)***,the electromechanical coupling excitations are subjected to the plate with different frequencies,which are chosen near the first and second-order natural frequencies of the *** piezoelectric cantilever plate has periodical motions under a lower frequency excitation,and the motions of the plate become more complex after another high frequency excitation added in the physical *** experimental results show that the motion of the piezoelectric cantilever plate changes from stable to unstable with high-low coupled resonant *** last,the FE study is carried out to compare and verify the experimental results and the effects of isotropic and orthotropic materials on the accuracy of natural frequencies results are also compared.

关键词： Macro fiber composite Piezoelectric cantilever plate Dynamics Electromechanical coupling

Design and experiment of an adaptive dynamic vibration absorber with smart leaf springs

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Applied Mathematics and Mechanics(English Edition) 2022年第10期43卷 1485-1502页

作者： xiangying guo Yunan ZHU Yegao QU Dongxing CAO Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical EngineeringBeijing University of TechnologyBeijing 100124China State Key Laboratory of Mechanical System and Vibration Shanghai Jiao Tong UniversityShanghai 200240China

An adaptive dynamic vibration absorber(ADVA)is designed for lowfrequency vibration *** leaf springs are applied as the tuning stiffness *** principle of variable stiffness is analyzed to obtain the effective range of the first natural frequency variation.A classic simply supported manipulator is selected as the controlled *** coupled dynamic model of the manipulator-ADVA system is built to obtain the maximum damping efficiency and the vibration absorption capacity of the designed *** experimental platform is set up to verify the theoretical *** is revealed that the ADVA can adjust the first natural frequency on a large scale by changing the curvature of the leaf *** amplitude of the manipulator is reduced obviously with the installation of the designed ***,based on the short-time Fourier transformation(STFT),a stepwise optimization algorithm is proposed to achieve a quick tuning of the natural frequency of the ADVA so that it can always coincide with the frequency of the prime *** the above steps,the intelligent frequency tuning of the ADVA is realized with high vibration absorption performance in a wide frequency range.

关键词： stiffness tuning adaptive dynamic vibration absorber(ADVA) leaf spring vibration control

Variable stiffness tuned particle dampers for vibration control of cantilever boring bars

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Applied Mathematics and Mechanics(English Edition) 2023年第12期44卷 2163-2186页

作者： xiangying guo Yunan ZHU Zhong LUO Dongxing CAO Jihou YANG Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures College of Mechanical EngineeringBeijing University of TechnologyBeijing 100124China School of Mechanical Engineering and Automation Northeastern UniversityShenyang 110819China

This research proposes a novel type of variable stiffness tuned particle damper(TPD)for reducing vibrations in boring *** TPD integrates the developments of particle damping and dynamical vibration absorber,whose frequency tuning principle is established through an equivalent theoretical *** on the multiphase flow theory of gas-solid,it is effective to obtain the equivalent damping and stiffness of the particle *** dynamic equations of the coupled system,consisting of a boring bar with the TPD,are built by Hamilton’s *** vibration suppression of the TPD is assessed by calculating the amplitude responses of the boring bar both with and without the TPD by the Newmark-beta ***,an improvement is proposed to the existing gas-solid flow theory,and a comparative analysis of introducing the stiffness term on the damping effect is *** parameters of the TPD are optimized by the genetic algorithm,and the results indicate that the optimized TPD effectively reduces the peak response of the boring bar system.

关键词： particle tuned particle damper(TPD) variable stiffness vibration control

Recent advancement of flow-induced piezoelectric vibration energy harvesting techniques:principles,structures,and nonlinear designs

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Applied Mathematics and Mechanics(English Edition) 2022年第7期43卷 959-978页

作者： Dongxing CAO Junru WANG xiangying guo S.K.LAI Yongjun SHEN Faculty of Materials and Manufacturing Beijing University of TechnologyBeijing 100124China Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures Beijing 100124China School of Automation Beijing Information Science and Technology UniversityBeiing 100192China Department of Civil and Environmental Engineering The Hong Kong Polytechnic UniversityKowloonHong KongChina Hong Kong Branch of National Rail Transit Electrification and Automation Engineering Technology Research Center The Hong Kong Polytechnic UniversityKowloonHong KongChina State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures Shijiazhuang Tiedao UniversityShijiazhuang 050043China

Energy harvesting induced from flowing fluids(e.g.,air and water flows)is a well-known process,which can be regarded as a sustainable and renewable energy *** addition to traditional high-efficiency devices(e.g.,turbines and watermills),the micro-power extracting technologies based on the flow-induced vibration(FIV)effect have sparked great concerns by virtue of their prospective applications as a self-power source for the microelectronic devices in recent *** article aims to conduct a comprehensive review for the FIV working principle and their potential applications for energy ***,various classifications of the FIV effect for energy harvesting are briefly introduced,such as vortex-induced vibration(VIV),galloping,flutter,and wake-induced vibration(WIV).Next,the development of FIV energy harvesting techniques is reviewed to discuss the research works in the past three *** application of hybrid FIV energy harvesting techniques that can enhance the harvesting performance is also ***,the nonlinear designs of FIV-based energy harvesters are reported in this study,e.g.,multi-stability and limit-cycle oscillation(LCO)***,advanced FIV-based energy harvesting studies for fluid engineering applications are briefly ***,conclusions and future outlook are summarized.

关键词： vibration-driven energy harvesting flow-induced vibration(FIV) piezoelectric approach nonlinear design

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新型双稳态屈曲梁结构的低频跳跃稳定性分析

哈尔滨工程大学学报 2022年第9期43卷 1336-1341页

作者：王胜杰韩翻珍郭翔鹰北京工业大学材料与制造学部北京100124 国家知识产权局专利局北京100088

为了验证双稳态屈曲梁结构的低频跳跃突变特性以及其能否在较低频率范围内进行能量耗散和吸收,本文基于小驱动大变形的设计目标,本文设计了一种以梁二阶屈曲模态为基础的新型双稳态结构,即在简支屈曲梁上施加可移动铰支约束,并在可移动... 详细信息

为了验证双稳态屈曲梁结构的低频跳跃突变特性以及其能否在较低频率范围内进行能量耗散和吸收,本文基于小驱动大变形的设计目标,本文设计了一种以梁二阶屈曲模态为基础的新型双稳态结构,即在简支屈曲梁上施加可移动铰支约束,并在可移动铰支处施加可调驱动力矩,从而实现屈曲梁在较小外部激励作用下发生稳定的二阶屈曲模态跳变。通过动力学建模,采用最小势能原理得到双稳态屈曲梁发生二阶跳变的最小驱动力矩,并给出了移动铰支变化时,屈曲梁双稳态形式的变化特点及相应的跳变能量。通过仿真分析了双稳态屈曲梁的固有频率及跳跃模式,验证了理论分析结果。基于理论与仿真分析结果,设计了双稳态屈曲梁跳跃机构。通过实验验证了所设计双稳态屈曲梁结构在低频外激励作用下能发生二阶模态的跳变,为低频振动下进行能量吸收和耗散结构的设计提供了新思路。

关键词：双稳态屈曲梁二阶屈曲跳跃突变移动铰支最小势能原理低频振动驱动力矩

不同阶外激励下压电纤维复合材料悬臂板的内共振特性分析

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动力学与控制学报 2021年第5期19卷 23-32页

作者：郭翔鹰段梦烨北京工业大学材料与制造学部北京100124 非线性振动与机械结构强度北京市重点实验室北京100124

本文研究了不同阶横向激励作用下压电纤维复合材料(MFC)悬臂板的非线性动力学特性.基于Reddy一阶剪切板理论,引入von Kármán几何非线性理论,利用Hamilton原理建立了结构的非线性动力学控制方程.讨论在不同结构尺寸下的前三阶固有频率... 详细信息

本文研究了不同阶横向激励作用下压电纤维复合材料(MFC)悬臂板的非线性动力学特性.基于Reddy一阶剪切板理论,引入von Kármán几何非线性理论,利用Hamilton原理建立了结构的非线性动力学控制方程.讨论在不同结构尺寸下的前三阶固有频率,利用Galerkin方法将系统离散为三自由度的非线性常微分方程.考虑主参数共振-1:3:5内共振,分析不同阶外激励作用下压电纤维复合悬臂板的非线性振动响应.数值模拟结果表明,复合材料板几何尺寸增大时结构的固有频率降低.此外,不同阶的横向激励幅值对结构的非线性振动影响很大,为实际工程应用提供理论支持.

关键词：压电纤维复合材料非线性稳定性分析内共振

单面柱局域共振声子晶体低频带隙特性分析及结构改进研究

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人工晶体学报 2021年第7期50卷 1378-1385页

作者：孙向洋燕群郭翔鹰中国飞机强度研究所航空声学与动强度航空科技重点实验室西安710065 北京工业大学机械工程学院机械结构非线性振动与强度北京市重点实验室北京100124

基于有限元法对单面柱局域共振声子晶体进行带隙特性分析,研究了结构参数对该类型声子晶体的影响。结果表明:随着散射体高度的增加,单面柱声子晶体的第一完全带隙的起始频率逐渐降低,带宽逐渐增大;随着基板厚度的增大,单面柱声子晶体的... 详细信息

基于有限元法对单面柱局域共振声子晶体进行带隙特性分析,研究了结构参数对该类型声子晶体的影响。结果表明:随着散射体高度的增加,单面柱声子晶体的第一完全带隙的起始频率逐渐降低,带宽逐渐增大;随着基板厚度的增大,单面柱声子晶体的起始频率逐渐升高,截止频率先增大后减小。并且在经典单面柱声子晶体的基础上,组合了两种新型的三组元单面柱声子晶体结构:嵌入式单面柱声子晶体(以下简称结构Ⅰ)和粘接式单面柱声子晶体(以下简称结构Ⅱ)。通过对其带隙特性的分析得出:这两种新结构与经典的单面柱声子晶体相比,都具有更低频的带隙,这对于低频减振降噪是非常有利的。本文的结果将对实际的工程应用提供一定的理论指导。

关键词：单面柱声子晶体有限元法散射体带隙低频减振降噪

石墨烯树脂复合材料板1:3内共振非线性动力学分析

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动力学与控制学报 2020年第4期18卷 44-51页

作者：张博郭翔鹰姜盼北京工业大学机电学院北京100124

石墨烯是一种新型的碳纳米材料,将石墨烯添加到不同基体中可达到增强基体力学性能,并优化结构的效果.本文主要研究了在悬臂边界条件下石墨烯复合材料板的非线性动力学行为,通过Halpin-Tsai模型计算了复合材料板的等效杨氏模量,运用一阶... 详细信息

石墨烯是一种新型的碳纳米材料,将石墨烯添加到不同基体中可达到增强基体力学性能,并优化结构的效果.本文主要研究了在悬臂边界条件下石墨烯复合材料板的非线性动力学行为,通过Halpin-Tsai模型计算了复合材料板的等效杨氏模量,运用一阶剪切板理论和Hamilton原理得到复合材料板的非线性动力学方程.通过模态缩聚,得到复合材料板横向位移的运动控制方程.应用Rayleigh-Ritz法计算出复合材料板的固有频率,发现第二阶与第四阶固有频率间存在1:3的关系.利用多尺度法研究了复合材料板在1:3内共振情况下的非线性振动响应,通过数值模拟分析了外激励对板结构非线性振动响应的影响.结果表明:横向外激励对复合材料板的非线性动力学行为影响较大,对实际工程具有一定的指导意义.

关键词：石墨烯 Rayleigh-Ritz法悬臂板非线性振动