有弹性障碍物的单侧支撑梁

Michaela Zahradníková, J. Eisner
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引用次数: 1

摘要

在二阶ODE和齐次狄利克雷边界条件下,研究了一种简单的弹簧或梁的模型。我们假设弹簧/梁被软/弹性障碍物单方面从下面支撑在区域的一部分上。我们关注临界力(对梁施加应力并导致其屈曲)对障碍物的强度/弹性参数的依赖性。我们给出了解析和数值结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Unilaterally Supported Beam by an Elastic Obstacle
We study a simple model of a spring or beam in ID given by a second order ODE and homogeneous Dirichlet boundary conditions. We assume that the spring/beam is unilaterally supported from below on a part of the domain by a soft/elastic obstacle. We focus on the dependence of the critical forces (which stress the beam and cause its buckling) on the strength/elasticity parameter of the obstacle. We present both analytical and numerical results.
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