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Dynamic Response of a Coated Half-Plane with Hysteretic Damping Under a Harmonic Hertz Load

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Acta Mechanica Solida Sinica 2020年第4期33卷 449-463页

作者： Xiaomin Wang liaoliang ke Yuesheng Wang Institute of Engineering Mechanics Beijing Jiaotong UniversityBeijing 100044China School of Mechanical Engineering Tianjin UniversityTianjin 300350China

This paper investigates the dynamic response of a coated half-plane subjected to a harmonic Hertz load on the coating *** complex modulus is used to describe the hysteretic damping of the elastic homogeneous coating and *** the Helmholtz decomposition and Fourier integral transform technique,we derive the stresses and displacements of the coating and half-plane from Navier5s elasticdynamic equations in the form of complex ***,the global adaptive quadrature algorithm is exploited to solve the complex integrals *** effects of Young’s modulus ratio,density ratio,coating thickness,loss factor and external excitation frequency are *** is found that the dynamic response of displacements and stresses becomes increasingly oscillatory with the increase in excitation frequency.

关键词： Dynamic response Coating Hysteretic damping Harmonic Hertz load

Contact vibration analysis of the functionally graded material coated half-space under a rigid spherical punch

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Applied Mathematics and Mechanics(English Edition) 2022年第8期43卷 1187-1202页

作者： Xin LYU liaoliang ke Jiayong TIAN Jie SU School of Mechanical Engineering Tianjin UniversityTianjin300350China National Institute of Natural Hazards Ministry of Emergency Management of ChinaBeijing100085China

This paper studies the contact vibration problem of an elastic half-space coated with functionally graded materials(FGMs)subject to a rigid spherical punch.A static force superimposing a dynamic time-harmonic force acts on the rigid spherical ***,we give the static contact problem of FGMs by a least-square fitting ***,the dynamic contact pressure is solved by employing the perturbation ***,the dynamic contact stiffness with different dynamic contact displacement conditions is derived for the FGM coated *** effects of the gradient index,coating thickness,internal friction,and punch radius on the dynamic contact stiffness factor are discussed in detail.

关键词： contact vibration functionally graded material(FGM) spherical punch perturbation method

The size-dependent elastohydrodynamic lubrication contact of a coated half-plane with non-Newtonian fluid

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Applied Mathematics and Mechanics(English Edition) 2021年第7期42卷 915-930页

作者： Jie SU Hongxia SONG liaoliang ke S.M.AIZIKOVICH School of Mechanical Engineering Tianjin UniversityTianjin 300350China School of Mathematical Science Inner Mongolia UniversityHohhot 010021China Laboratory of Functionally Graded and Composite Materials Research and Education Center"Materials"Don State Technical UniversityRostov-on-Don 344000Russia

Based on the couple-stress theory,the elastohydrodynamic lubrication(EHL)contact is analyzed with a consideration of the size *** lubricant between the contact surface of a homogeneous coated half-plane and a rigid punch is supposed to be the non-Newtonian *** density and viscosity of the lubricant are dependent on fluid *** of film thickness,in-plane stress,and fluid pressure are calculated by solving the nonlinear fluid-solid coupled equations with an iterative *** effects of the punch radius,size parameter,coating thickness,slide/roll ratio,entraining velocity,resultant normal load,and stiffness ratio on lubricant film thickness,in-plane stress,and fluid pressure are *** results demonstrate that fluid pressure and film thickness are obviously dependent on the size parameter,stiffness ratio,and coating thickness.

关键词： elastohydrodynamic lubrication(EHL) non-Newtonian fluid size effect couple-stress theory coating

Thermoelastic rotating contact of an FGM coating with temperature-dependent and arbitrary varying properties

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Science China(Technological Sciences) 2023年第4期66卷 1038-1049页

作者： ZHOU JiaLin SHEN Fei LIU Jing EL-BORGI Sami ke liaoliang Department of Mechanics School of Mechanical EngineeringTianjin UniversityTianjin 300350China College of Engineering Huazhong Agricultural UniversityWuhan 430070Chin Mechanical Engineering Program Engineering BuildingTexas A&M University at QatarP.O.Box 23874Qatar

This paper investigates the frictional thermoelastic contact of a rigid spherical punch and functionally graded material(FGM)coated half-space with arbitrarily varying material *** material parameters include the elastic modulus,Poisson’s ratio,heat conduction parameter,and thermal expansion *** material parameters of the FGM coating and half-space are assumed to be temperature *** spherical punch is rotated in the FGM-coated half-space at a constant angular *** generated frictional heat is related to the friction coefficient,contact radius,angular velocity,and contact pressure.A theoretical formula for the thermoelastic rotating contact problem is established and solved using the finite element *** main objective of this paper is to investigate the effects of temperature dependence,gradient index,friction coefficient,angular velocity,and gradient form on the surface temperature and stresses.

关键词： rotating punch frictional heat functionally graded materials temperature dependence arbitrary properties

Nonlinear vibration of edged cracked FGM beams using differential quadrature method

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Science China(Physics,Mechanics & Astronomy) 2012年第11期55卷 2114-2121页

作者： ke liaoliang WANG YueSheng YANG Jie KITIPORNCHAI Sritawat ALAM Firoz Institute of Engineering Mechanics Beijing Jiaotong UniversityBeijing 100044China School of Aerospace Mechanical and Manufacturing EngineeringRMIT UniversityPO Box 71BundooraVictoria 3083Australia Department of Building and Construction City University of Hong KongKowloonHong KongChina

This paper investigated the nonlinear vibration of functionally graded beams containing an open edge crack based on Timoshenko beam *** cracked section is modeled by a massless elastic rotational *** is assumed that material properties follow exponential distributions through the beam *** differential quadrature(DQ) method is employed to discretize the nonlinear governing equations which are then solved by a direct iterative method to obtain the nonlinear vibration frequencies of beams with different boundary *** effects of the material gradient,crack depth and boundary conditions on nonlinear free vibration characteristics of the cracked FGM beams are studied in detail.

关键词： functionally graded materials (FGMs) Timoshenko beam edge crack nonlinear vibration DQ method

功能梯度材料接触力学若干基本问题的研究进展

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科学通报 2015年第17期60卷 1565-1573页

作者：柯燎亮汪越胜北京交通大学力学系北京100044

由于功能梯度材料在改善表面接触损伤方面的潜在应用,其接触力学问题受到越来越广泛关注,许多学者开展了大量的研究工作.本文结合作者近些年来在功能梯度材料接触力学方面开展的研究工作,综述了功能梯度材料接触力学若干基本问题的最新... 详细信息

由于功能梯度材料在改善表面接触损伤方面的潜在应用,其接触力学问题受到越来越广泛关注,许多学者开展了大量的研究工作.本文结合作者近些年来在功能梯度材料接触力学方面开展的研究工作,综述了功能梯度材料接触力学若干基本问题的最新理论研究进展,包括功能梯度材料的无摩擦和滑动摩擦接触、微动接触、热弹性接触及失稳、力电磁多场耦合接触和黏附接触.最后对未来功能梯度材料接触力学研究进行了展望.

关键词：功能梯度材料接触力学接触损伤微动接触热弹性接触失稳黏附接触

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基于偶应力理论的压电材料轴对称接触问题

应用数学和力学 2024年第10期45卷 1268-1278页

作者：吕鑫柯燎亮苏洁天津大学机械工程学院天津300350

基于偶应力理论,研究了刚性绝缘球压头与横观各向同性压电半空间尺度依赖的轴对称接触问题.利用Hankel积分变换和积分最小二乘法,获得了接触压力.讨论了特征材料长度对接触压力分布、接触半径和压痕深度的影响.结果表明,基于偶应力理论... 详细信息

基于偶应力理论,研究了刚性绝缘球压头与横观各向同性压电半空间尺度依赖的轴对称接触问题.利用Hankel积分变换和积分最小二乘法,获得了接触压力.讨论了特征材料长度对接触压力分布、接触半径和压痕深度的影响.结果表明,基于偶应力理论获得的接触压力结果明显大于经典结果.

关键词：轴对称接触压电材料尺度效应偶应力理论

基于偶应力理论涂层半平面的二维滑动摩擦接触分析

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中国科学：技术科学 2019年第10期49卷 1197-1207页

作者：宋红霞柯燎亮汪越胜北京交通大学土木建筑工程学院力学系北京100044 天津大学机械工程学院力学系天津300350

本文基于偶应力理论,研究了平面应变状态下刚性压头与均匀涂层半平面之间的二维滑动摩擦接触问题.该理论通过引入材料特征长度来描述微结构材料的尺寸效应.采用傅里叶积分变换方法将此尺寸依赖的接触问题转化为第二类Cauchy奇异积分方程... 详细信息

本文基于偶应力理论,研究了平面应变状态下刚性压头与均匀涂层半平面之间的二维滑动摩擦接触问题.该理论通过引入材料特征长度来描述微结构材料的尺寸效应.采用傅里叶积分变换方法将此尺寸依赖的接触问题转化为第二类Cauchy奇异积分方程.然后,通过数值求解该类方程来确定涂层表面法向应力和面内应力的分布.详细讨论了尺度参数、剪切模量比和摩擦系数对表面法向接触应力和面内应力的影响.结果表明基于偶应力理论得到的接触应力明显偏离基于经典弹性理论预测的结果,而且表现出对材料特征长度的强烈依赖性.

关键词：接触力学偶应力理论摩擦尺寸效应涂层

磁电弹复合材料和刚性导电导磁圆柱压头的二维微动接触分析

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固体力学学报 2020年第2期41卷 127-141页

作者：苏洁柯燎亮汪越胜天津大学机械工程学院力学系天津300350

论文求解平面应变状态下磁电弹复合材料半平面和刚性导电导磁圆柱压头的二维微动接触问题.假设压头具有良好的导电导磁性,且表面电势和磁势是常数.微动接触依赖载荷的加载历史,所以首先求解单独的法向加载问题,然后在法向加载问题的基... 详细信息

论文求解平面应变状态下磁电弹复合材料半平面和刚性导电导磁圆柱压头的二维微动接触问题.假设压头具有良好的导电导磁性,且表面电势和磁势是常数.微动接触依赖载荷的加载历史,所以首先求解单独的法向加载问题,然后在法向加载问题的基础上求解循环变化的切向加载问题.整个接触区可以分为内部的中心粘着区和两个外部的滑移区,其中滑移区满足Coulomb摩擦法则.利用Fourier积分变换,磁电弹半平面的微动接触问题将简化为耦合的Cauchy奇异积分方程组,然后数值离散为线性代数方程组,利用迭代法求解未知的粘着/滑移区尺寸、电荷分布、磁感应强度、法向接触压力和切向接触力.数值算例给出了摩擦系数、总电荷和总磁感应强度对各加载阶段的表面接触应力、电位移和磁感应强度的影响.

关键词：微动接触磁电弹复合材料循环切向加载导电导磁压头