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.
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页码：18618 / 18630
页数：13
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