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arXiv math/0309024math.APcs.NAmath.NA
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弹性板与梁的联结(初步版本)

Junction of elastic plates and beams (Preliminary version)

Antonio Gaudiello, Regis Monneau, Jacqueline Mossino, Francois Murat, Ali Sili

AI总结:

本文研究三维空间中由薄板与细梁组成的多域弹性系统,在厚度与半径同时趋于零且半径远大于厚度平方时,确定了包含六个联结条件的极限问题。

摘要:

我们考虑三维空间中多域内的线性化弹性系统。该多域由一个水平板和一个垂直梁组成,其中水平板具有固定横截面和较小厚度“h”,垂直梁具有固定高度和较小横截面半径“r”。假设板的侧边界和梁的顶部被夹紧。当“h”和“r”同时趋于零,且“r”远大于“h”的平方时,我们确定了极限问题。该极限问题涉及六个联结条件。

英文摘要:

We consider the linearized elasticity system in a multidomain of the three dimensional space. This multidomain is the union of a horizontal plate, with fixed cross section and small thickness "h", and of a vertical beam with fixed height and small cross section of radius "r". The lateral boundary of the plate and the top of the beam are assumed to be clamped. When "h" and "r" tend to zero simultaneously, with "r" much greater than the square of "h", we identify the limit problem. This limit problem involves six junction conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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