Vibrations of Elastically Restrained Circular Plates Resting on Winkler Foundation

被引：6

作者：

Rao, L. Bhaskara ^{[1
]}

Rao, C. Kameswara ^{[2
]}

机构：

[1] VIT Univ, Sch Mech & Bldg Sci, Madras 600048, Tamil Nadu, India

[2] TKR Coll Engn & Technol, Dept Mech Engn, Hyderabad 500079, Andhra Pradesh, India

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2013年 / 38卷 / 11期

关键词：

Circular plate; Vibration; Elastically restrained edge; Rotational stiffness; Translational stiffness; Elastic foundation; SUPPORT;

D O I：

10.1007/s13369-012-0457-1

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper deals with the study of the vibration characteristics of thin circular plates with elastic edge support and resting on an elastic foundation. The Winkler model describes the foundation. The exact analytical method is used to derive the frequency equation of the plate with elastic edge support and resting on an elastic foundation. The basic equations are those which are obtained from classical thin plate theory. Parametric investigations on the vibrations of circular plates with elastic edge support and resting on an elastic foundation have been carried out with respect to various values of translational stiffness ratio, rotational stiffness ratio, foundation stiffness ratio and boundary conditions. The results for 12 modes of vibration are presented for each case considered, and extensive data are tabulated so that pertinent conclusions can be arrived at on the influence of translational edge restraint, rotational edge restraint and the foundation stiffness ratio of the Winkler foundation on the natural frequencies of uniform isotropic circular plates.

引用

页码：3171 / 3180

页数：10

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