非线性边界条件下具非线性耗散粘弹性梁方程的整体解  

Global Solutions for the Equations of Nonlinear Viscosity-Elasticity Beam Under Nonlinear Boundary Conditions

作　　者：薛亚荣 张建文 XUE Yarong;ZHANG Jianwen

机构地区：[1]太原理工大学数学学院,太原030024

出　　处：《太原理工大学学报》2018年第2期313-316,共4页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(11172194)

摘　　要：考虑材料的粘性效应和非线性外阻尼,对一类轴向载荷和横向载荷作用下具非线性耗散项的粘弹性梁方程进行研究,采用Galerkin方法,证明了该方程在非线性边界条件下整体解的存在唯一性。In this paper,we establish one kind of nonlinear viscous-elastic supported beam subjected to axial forces and transverse load,considering both viscosity effect and nonlinear external daming,and obtain the existence and uniqueness theorem of global solutions for the equations under nonlinear boundary conditions by the Galerkin approach.

关 键 词：非线性边界条件 粘弹性梁 GALERKIN方法 整体解 

分 类 号：O175.29[理学—数学]