Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plates with linearly thickness variation in both directions

被引：15

作者：

Gupta, A. K. ^{[1
]}

Kaur, Harvinder ^{[2
]}

机构：

[1] MS Coll, Dept Math, Saharanpur, UP, India

[2] Govt Coll, Dept Math, Pkl, Haryana, India

来源：

MECCANICA | 2008年 / 43卷 / 04期

关键词：

thermal gradient; vibration; rectangular plate; thickness variation; visco-elastic mechanics;

D O I：

10.1007/s11012-008-9110-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The effect of thermal gradient on the free vibration of clamped visco-elastic rectangular plate with linearly thickness variations in both the directions has been studied here. The governing differential equation has been solved using Rayleigh-Ritz technique. The frequency equation is derived for the clamped boundary condition on all the four edges. The effect of linear temperature variation has been considered. Deflection and time period corresponding to the first two modes of vibrations of a clamped plate have been computed for various values of aspect ratio, thermal constants, and taper constants.

引用

页码：449 / 458

页数：10

共 15 条

[1]

BHATNAGAR NS, 1988, MODELLING SIMULATI B, V15, P17

[2]

Gupta AK, 2007, WCECS 2007: WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, P784

[3] Vibration of visco-elastic rectangular plate with linearly thickness variations in both directions [J].