NATURAL VIBRATIONS OF A RECTANGULAR PLATE WITH MIXED BOUNDARY CONDITIONS

被引：4

作者：

Algazin, S. D. ^{[1
]}

Selivanov, I. A. ^{[2
]}

机构：

[1] Russian Acad Sci, Ishlinsky Inst Problems Mech, Moscow 119526, Russia

[2] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2021年 / 62卷 / 02期

关键词：

biharmonic equation; free vibrations of a plate; Bubnov - Galerkin method; computational experiment;

D O I：

10.1134/S0021894421020073

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Natural vibrations of a rectangular plate with two clamped and two freely supported edges are under consideration. The Bubnov - Galerkin method is used to calculate the first eigenvalues, and the first eigenvalue in the case of a single trial function is calculated with an error smaller than 1%. The results are compared with known data, and eigenforms are given.

引用

页码：238 / 244

页数：7

共 9 条

[1] Barashkov V. N., 2012, FUNDAMENTALS PLASTIC
[2] Solution of thin rectangular plate vibrations for all combinations of boundary conditions
Eisenberger, M.
Deutsch, A.
[J]. JOURNAL OF SOUND AND VIBRATION, 2019, 452 : 1 - 12
[3] EISPACK, L COLL FORTR SUBR CO L COLL FORTR SUBR CO
[4] Faddeev D.K., 1963, COMPUTATIONAL METHOD
[5] Germain S., 1821, RECHERCHES THEORIE S
[6] Gorman D.J., 1982, Free vibration analysis of rectangular plates
[7] FREE VIBRATION OF RECTANGULAR-PLATES
LEISSA, AW
[J]. JOURNAL OF SOUND AND VIBRATION, 1973, 31 (03) : 257 - 293
[8] Mikhlin S. G., 1964, Variational Methods in Mathematical Physics
[9] Timoshenko S., 1963, THEORY PLATES SHELLS

← 1 →