| 弹性矩形悬臂中厚板弯曲问题积分变换解 |
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| 引用本文： | 田斌,钟阳,李锐,胡波.弹性矩形悬臂中厚板弯曲问题积分变换解[J].大连理工大学学报,2011,51(3):381-386. |
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| 作者姓名： | 田斌 钟阳 李锐 胡波 |
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| 作者单位： | 大连理工大学土木工程学院; |
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| 基金项目： | 科学技术部重大基础研究课题资助项目(2004CCA03300) |
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| 摘 要： | 利用二维有限域积分变换的方法推导出了矩形悬臂中厚板挠度的精确解.采用Mindlin三变量理论,直接对弹性矩形厚板控制方程进行二维有限域积分变换,将高阶偏微分方程组化为简单的线性方程组,从而在变换域内进行求解,然后进行相应的积分逆变换得到实际问题的精确解.其较叠加法、傅里叶级数法概念清晰,计算简便,而且在求解过程中不需要...
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| 关 键 词： | Mindlin理论 矩形悬臂中厚板 有限域积分变换 精确解 |
Integral transform solution for bending problem of elastic rectangular cantilever moderately thick plates |
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| TIAN Bin,ZHONG Yang,LI Rui,HU Bo.Integral transform solution for bending problem of elastic rectangular cantilever moderately thick plates[J].Journal of Dalian University of Technology,2011,51(3):381-386. |
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| Authors: | TIAN Bin ZHONG Yang LI Rui HU Bo |
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| Institution: | TIAN Bin,ZHONG Yang*,LI Rui,HU Bo(School of Civil Engineering,Dalian University of Technology,Dalian 116024,China) |
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| Abstract: | The exact deflection solutions for rectangular cantilever moderately thick plates are derived by the double finite integral transform method.The governing equations are based on Mindlin theory including three variables.The double finite integral transform method is directly applied to the equations.The higher-order partial differential equations are reduced to linear simultaneous equations so that the problem is solved first in the transform domain.After that,the inverse transform is carried out to obtain t... |
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| Keywords: | Mindlin theory rectangular cantilever moderately thick plates finite integral transform exact solution |
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