Vibration of visco-elastic rectangular plate with linearly thickness variations in both directions

被引：41

作者：

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

Khanna, A. ^{[1
]}

机构：

[1] MS Coll, Dept Math, Saharanpur 247001, UP, India

来源：

JOURNAL OF SOUND AND VIBRATION | 2007年 / 301卷 / 3-5期

关键词：

D O I：

10.1016/j.jsv.2006.01.074

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The analysis presented here is to study the effect of linear thickness variations in both directions on vibration of viscoelastic rectangular plate having clamped boundary conditions on all the four edges. Using the separation of variables method, the governing differential equation has been solved for vibration of visco-elastic rectangular plate. An approximate but quite convenient frequency equation is derived by using Rayleigh-Ritz technique with a two-term deflection function. Logarithmic decrement, time period and deflection at different points for the first two modes of vibration are calculated for various values of taper constants and aspect ratio. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：450 / 457

页数：8

共 9 条

[1]

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

[2]

BHATNAGAR NS, 1987, P INT C MOD SIM MELB, P424

[3] TRANSVERSE VIBRATIONS OF RECTANGULAR-PLATES WITH THICKNESS VARYING IN 2 DIRECTIONS AND WITH EDGES ELASTICALLY RESTRAINED AGAINST ROTATION [J].