Asymptotic analysis of high frequency modes for thin elastic plates

被引：0

作者：

Kerdid, Nabil ^{[1
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 08期

关键词：

linear elasticity; asymptotic analysis; thin plates; eigenvalue problem; high frequency modes; stretching vibrations; EIGENVALUE PROBLEMS; APPROXIMATIONS; JUSTIFICATION; JUNCTIONS;

D O I：

10.3934/math.2023948

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the high frequency modes of a thin clamped plate and the associated eigenfunctions converge, as the thickness of the plate goes to zero, to the eigenvalues and the eigenfunctions of a two-dimensional eigenvalue problem associated to the stretching displacements of the plate.

引用

页码：18618 / 18630

页数：13

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