ON THE VIBRATIONS OF RECTANGULAR-PLATES

被引：4

作者：

HARAUX, A

KOMORNIK, V

机构：

[1] EOTVOS LORAND UNIV, DEPT ANAL, H-1088 BUDAPEST, HUNGARY

[2] UNIV BORDEAUX 1, UFR MATH & INFORMAT, F-33405 TALENCE, FRANCE

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1991年 / 119卷

关键词：

D O I：

10.1017/S0308210500028304

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that, for every non-empty open subset of a rectangular plate, there exists a positive number T such that no vibration of this plate with fixed edges can remain strictly above the rest position at all points of the subset during a period T. Moreover, the result remains valid for every non-empty segment parallel to one of the sides of the plate. Our proof is based on some results of non-harmonic analysis.

引用

页码：47 / 62

页数：16

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