机械载荷作用下梯度多孔材料圆板非线性力学行为的研究  

Study on Nonlinear Mechanical Behavior of Circular Plate of Porous Material with Gradient under Mechanical Loading

作　　者：孙昊栋 马连生[2] 王娅娟 陈思阳[1] SUN Haodong;MA Liansheng;WANG Yajuan;CHEN Siyang(Hexi University,Zhangye 734000;Lanzhou University of Technology,Lanzhou 730050)

机构地区：[1]河西学院,张掖734000 [2]兰州理工大学,兰州730050

出　　处：《现代制造技术与装备》2021年第5期78-81,共4页Modern Manufacturing Technology and Equipment

基　　金：国家自然科学基金(11862012);河西学院科研创新与应用校长基金一般项目(XZ2020005);河西学院青年教师基金项目(QN2020001);2020年甘肃省高等学校科研创新能力提升项目(2020A-109)。

摘　　要：基于一阶剪切变形圆板理论,应用最小势能原理,推导了梯度多孔材料圆板在径向载荷与横向载荷共同作用时的控制微分方程及边界条件,并将其退化为经典板理论下的结果。利用打靶法求解圆板非线性力学行为的数值解,并根据结果分析了梯度多孔材料的性质、机械载荷及边界条件等因素对圆板非线性力学行为的影响。Based on the theory of circular plate with first order shear deformation and the principle of minimum potential energy,the governing differential equations and boundary conditions of circular plate with gradient porous material under the interaction of radial and transverse loads are derived,and the results are reduced to those of classical plate theory.The numerical solution of nonlinear mechanical behavior of circular plate was solved by shooting method.The effects of the properties of gradient porous material,mechanical load and boundary conditions on the nonlinear mechanical behavior of circular plate were analyzed.

关 键 词：梯度多孔材料 圆板 横向载荷 径向载荷 

分 类 号：TB383.4[一般工业技术—材料科学与工程]