| 变厚度矩形板自由振动的广义微分求积法分析 |
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| 引用本文： | 滕兆春,陈桂佳,马鹏超.变厚度矩形板自由振动的广义微分求积法分析[J].兰州理工大学学报,2011,37(2):168-171. |
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| 作者姓名： | 滕兆春 陈桂佳 马鹏超 |
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| 作者单位： | 1. 兰州理工大学,理学院,甘肃,兰州,730050
2. 宁波大学,机械工程与力学学院,浙江,宁波,315211 |
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| 基金项目： | 甘肃省自然科学基金(0809RJZA021) |
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| 摘 要： | 基于广义微分求积法,对变厚度矩形板横向自由振动的控制微分方程及其不同边界条件进行离散,研究其自由振动的频率特性.数值计算得到不同长宽比,不同厚度变化参数和简支或固定边界条件下变厚度矩形板的无量纲振动基频率,并与其它求解方法的数值进行比较.结果表明,运用广义微分求积法对变厚度矩形板的频率求解结果与其它方法的求解结果相差很...
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| 关 键 词： | 变厚度 矩形板 自由振动 广义微分求积法 |
Free vibration analysis of rectangular plates with variable thickness by using generalized differential quadrature method |
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| TENG Zhao-chun,CHEN Gui-jia,MA Peng-chao.Free vibration analysis of rectangular plates with variable thickness by using generalized differential quadrature method[J].Journal of Lanzhou University of Technology,2011,37(2):168-171. |
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| Authors: | TENG Zhao-chun CHEN Gui-jia MA Peng-chao |
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| Institution: | TENG Zhao-chun1,CHEN Gui-jia2,MA Peng-chao1(1.School of Science,Lanzhou Univ.of Tech.,Lanzhou 730050,China,2.Faculty of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,China) |
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| Abstract: | Based on generalized differential quadrature method(GDQM),the governing differential equation and different boundary conditions were made discrete and the frequency characteristics were studied for transverse free vibration of rectangular plates with variable thickness.By using numerical computation,the dimensionless fundamental frequencies were obtained for these plates at different aspect ratios and variable thickness parameters under simply supported or clamped boundary conditions.Compared with available... |
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| Keywords: | variable thickness rectangular plates free vibration generalized differential quadrature method |
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