Forced motion of semi-infinite plate of parabolically varying thickness

被引：0

作者：

Gupta, AP ^{[1
]}

Singh, YK ^{[1
]}

Sharma, N ^{[1
]}

机构：

[1] Univ Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1997年 / 28卷 / 11期

关键词：

semi-infinite plate; parabolic variation in thickness; eigenfunction; Frobenius method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Forced motion of a semi-infinite plate of parabolically varying thickness based on classical theory is analyzed by eigenfunction method. The free vibration of the plate is analyzed by Frobenius method. Uniformly distributed load applied to plate clamped at both the edge is taken as an example problem. Numerical results computed for the natural frequencies, the transverse deflection and the bending moment are plotted in graph.

引用

页码：1469 / 1480

页数：12

共 8 条

[1] FREE-VIBRATION ANALYSIS OF MINDLIN PLATES WITH PARABOLICALLY VARYING THICKNESS
ALKAABI, SA
AKSU, G
[J]. COMPUTERS & STRUCTURES, 1990, 34 (03) : 395 - 399
[2] DEGRECO BV, 1984, J SOUND VIB, V94, P525
[3] FORSYTH AR, 1929, TREATISE DIFFERENTIA
[4] Gupta U. S., 1979, Indian Journal of Pure and Applied Mathematics, V10, P347
[5] JAIN RK, 1973, INDIAN J PURE APPL M, V4, P2267
[6] FORCED MOTION OF ELASTIC PLATES
REISMANN, H
[J]. JOURNAL OF APPLIED MECHANICS, 1968, 35 (03): : 510 - &
[7] STUDIES ON DYNAMIC STRESS IN PARABOLICALLY VARYING THICKNESS BEAM
ROY, PK
GANESAN, N
[J]. JOURNAL OF SOUND AND VIBRATION, 1992, 158 (02) : 369 - 376
[8] FREE VIBRATIONS OF AN INFINITE PLATE OF PARABOLICALLY VARYING THICKNESS ON ELASTIC-FOUNDATION
TOMAR, JS
GUPTA, DC
[J]. JOURNAL OF SOUND AND VIBRATION, 1976, 47 (01) : 143 - 145

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