| 双向阶梯式矩形板的自由振动 |
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| 引用本文： | 陈毅,沈惠申.双向阶梯式矩形板的自由振动[J].强度与环境,2003,30(2):1-5,16. |
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| 作者姓名： | 陈毅 沈惠申 |
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| 作者单位： | 上海交通大学建筑工程与力学学院,上海,200030 |
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| 摘 要： | 本文采用Reisaner—Mindlin一阶剪切变形板理论，得出n级双向阶梯式矩形板自由振动系统的总位能。通过Raylcigh-Ritz法，采用粱函数作为各种边界条件下阶梯式板的位移函数，求得阶梯式板的自振频率。
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| 关 键 词： | 阶梯式板 位移函数 自振频率 Raylcigh－Ritz法 板结构 一阶剪切变形板理论 |
| 文章编号： | 1006-3919(2003)02-0001-05 |
Vibration of two-way stepped rectangular plates |
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| CHEN Yi,SHEN Hui,shen.Vibration of two-way stepped rectangular plates[J].Structure & Environment Engineering,2003,30(2):1-5,16. |
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| Authors: | CHEN Yi SHEN Hui shen |
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| Abstract: | An analytical numerical study is presented for free vibration of two way n step rectangular plates.Based on Reissner Mindlin plates theory,considering the first order shear deformation effects,the total potential energy of the two way n step rectangular plate system for the free vibration problem is obtained.A set of beam functions,which satisfies different kinds of geometric boundary conditions,are adopted for stepped plates and Rayleigh Ritz method is employed with this set of admissible functions to determine the natural frequencies of the plate. |
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| Keywords: | Stepped plates Free vibration First order shear deformation plate theory |
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