| 板内附着任意个弹性质量的两对边简支矩形板的横向振动 |
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| 引用本文： | 周叮.板内附着任意个弹性质量的两对边简支矩形板的横向振动[J].强度与环境,1997(2):38-45,F003. |
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| 作者姓名： | 周叮 |
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| 作者单位： | 南京理工大学!210014 |
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| 摘 要： | 研究板内附着任意个弹性质量的两对边简支另两对边任意支承矩形板的横向振动特性，将弹性质量对板的作用反力视为作用于板上的未知外力，求得了含有未知反力的两对国边简支矩形板的解析解，由板另两对边的边界条件确定积分常数，利用弹属于 质量作用反力的奇异性以及附着处板横向位移与弹性质量反力的线性关系导得频率方程，结果精确的。导出了２种常见边 界条件下的频率方程，最后给出了一些算例并已有结果作比较。
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| 关 键 词： | 矩形板 振动分析 质量载荷效应 横向振动 |
The Transverse Vibrations of Rectangular Plates with Two Opposite Edges Simply Supported and Attached by an Arbitrary Number of Elastic Masses Inside |
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| Zhou Ding.The Transverse Vibrations of Rectangular Plates with Two Opposite Edges Simply Supported and Attached by an Arbitrary Number of Elastic Masses Inside[J].Structure & Environment Engineering,1997(2):38-45,F003. |
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| Authors: | Zhou Ding |
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| Institution: | Nanjing University of Science and Technology |
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| Abstract: | This paper studies the transverse vibrations of rectangular plates with two opposite edgessimply supported, other two edges arbitrarily supported and acttached by an arbitrary number of elasticmasses inside. The reaction forces of elastic masses are reguarded as the unknown external forces acted onthe plates. The exact solution of motion equation of the rectangular plate which includes the reactionforces of elastic masses is gained. The frequency equation is derived by the use of relationship between thetransverse displacements and the reaction forces of elastic masses at the attached locations. The results areexact. Finally, some numerical results are given and compaired with those obtained. |
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| Keywords: | Rectangular plate Vibration analysis Mass load effect Concentrated load |
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