EXACT VIBRATION SOLUTION FOR INITIALLY STRESSED MINDLIN PLATES ON PASTERNAK FOUNDATIONS

被引：98

作者：

XIANG, Y ^{[1
]}

WANG, CM ^{[1
]}

KITIPORNCHAI, S ^{[1
]}

机构：

[1] NATL UNIV SINGAPORE,DEPT CIVIL ENGN,SINGAPORE 0511,SINGAPORE

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 1994年 / 36卷 / 04期

关键词：

D O I：

10.1016/0020-7403(94)90037-X

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Closed-form solutions for the vibration problem of initially stressed thick rectangular plates as described by Mindlin theory are presented. The plates are simply supported and resting on Pasternak foundations. The subset problem of buckling of Mindlin plates on Pasternak foundations is automatically solved by setting the frequency parameter to be equal to zero. The solution also applies to Winkler foundations where the shear modulus of the Pasternak model is taken to be zero. The closed-form solutions should be useful for checking the accuracy of numerical solutions.

引用

页码：311 / 316

页数：6

共 13 条

[1]

ARIMAN T, 1969, BAUTECHNIK, V2, P59

[2] ANALYSIS OF SIMPLY-SUPPORTED ORTHOTROPIC PLATES SUBJECT TO STATIC AND DYNAMIC LOADS [J].

DOBYNS, AL .

AIAA JOURNAL, 1981, 19 (05) :642-650

[3]

Hinton E., 1988, NUMERICAL METHODS SO

[4]

Horvath T. B., 1989, COMPREHENSIVE TXB PS, VI, P599

[5]

MINDLIN RD, 1951, J APPL MECH-T ASME, V18, P31

[6]

Mindlin RD, 1956, J APPL MECH, V23, P430

[7]

Pasternak PL., 1954, GOSSTROIIZDAT

[8] RAYLEIGH-RITZ VIBRATION ANALYSIS OF RECTANGULAR MINDLIN PLATES SUBJECTED TO MEMBRANE STRESSES [J].

ROUFAEIL, OL ;

DAWE, DJ .

JOURNAL OF SOUND AND VIBRATION, 1982, 85 (02) :263-275

[9]

Schechter RS., 1967, VARIATIONAL METHOD E

[10]

Timoshenko S.P., 1959, THEORY PLATES SHELLS

← 1 2 →