具有sliding-clamped端强阻尼屈曲梁方程整体解的存在性

The Existence of Global Solution for Viscoelastic Beam Equation with Strong Damping and Sliding-Clamped Side

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摘要对固体力学中提出的具有强阻尼效应的非线性粘弹性梁方程进行了研究。在给定具有sliding-clamped端和简支端的边界条件下,利用Galerkin方法,证明了该非线性梁方程的整体弱解和强解的存在性。 In this paper, we studied the nonlinear viscoelastic beam equation with strong damping. By Galerkin method, we proved the existence of the weak solution and strong solution with one side sliding-dampled and the other side supported boundary conditions.

作者王旦霞阎思卿张建文

机构地区太原理工大学理学院

出处《太原理工大学学报》 CAS 北大核心 2009年第4期437-439,共3页 Journal of Taiyuan University of Technology

基金国家自然科学基金资助项目(10772131)

关键词 sliding—clamped端简支端强阻尼弱解强解 sliding-clamped side being supported side strong damping weak solution strong solution

分类号 O175.27 [理学—基础数学]

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太原理工大学学报

2009年第4期

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具有sliding-clamped端强阻尼屈曲梁方程整体解的存在性

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