基于无网格法考虑热效应及剪切效应FGM梁的动力学建模与仿真  

Dynamic Modeling and Simulation of a FGM Beam Considering Shear Effect and Thermal Effect Based on Meshless Methods

作　　者：杜超凡 曹廷魁 周晓婷 章定国[2] Du Chaofan;Cao Tingkui;Zhou Xiaoting;Zhang Dingguo(College of Architectural Science and Engineering,Yangzhou University,Yangzhou 225000,China;School of Science,Nanjing University of Science and Technology,Nanjing 210094,China)

机构地区：[1]扬州大学建筑科学与工程学院,扬州225127 [2]南京理工大学理学院,南京210094

出　　处：《动力学与控制学报》2023年第5期16-26,共11页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(11802263,12232012);扬州大学“青蓝工程”项目。

摘　　要：将无网格点插值法和无网格径向基点插值法用于温度场中旋转柔性功能梯度材料梁的动力学分析.在考虑剪切效应的基础上,在梁本构关系中计及热应变,采用4种离散方法描述梁的变形场,运用第二类Lagrange方程,推导出大范围运动功能梯度材料梁的一次近似刚柔耦合动力学方程,研究不同温度变化下梁的动力学响应.通过动力学仿真得出以下结论:温度场对沿横向对称分布的功能梯度材料梁的横向变形影响较小,对纵向变形的影响较大,且在计算温度荷载作用下的梁末端变形时不应忽略轴向变形影响.Dynamic analysis of functionally graded material beams using meshless point interpolation method and radial basis point interpolation method.On the basis of considering the shear effect,the thermal strain is also included in the constitutive relationship of the beam.The deformation field of the beam is discretized by four discrete methods,the first-order approximate rigid-flexible coupling model of the functionally graded material beam with large overall motion is derived via Lagrange’s equations of the second kind,and the dynamic response of the beam under different temperature fields is studied.The simulation results show that the temperature field has little influence on the transverse deformation of the functionally graded material beam with transverse symmetry distribution,but has great influence on the longitudinal deformation.The influence of axial deformation should not be ignored in the temperature field.

关 键 词：刚-柔耦合 功能梯度材料 热效应 动力学 无网格法 

分 类 号：TU311.3[建筑科学—结构工程] TU333