用线法分析中厚板的振动与稳定性问题
The Vibration and Stability Analysis of Moderate Thick Plates by the Method of Lines
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摘要: 发展了基于胡海昌中厚板的振动与稳定性理论等特征值问题的线法.利用常微分方程(ODE)技巧给出求解固有频率及临界荷载的标准非线性ODE体系,并采用所谓初始特征函数法通过ODE求解器(Solver)直接解出指定的任一特征值,而不依赖于振型正交性等条件.算例表明,本文方法是有效和可靠的.Abstract: The method of lines based on Hu Hai-chang's theory for the vibration and stability of moderate thick plates is developed.The standard nonlinear ordinary differential equation(ODE) system for natural frequencies and critical load is given by use of ODE techniques,and then any indicated eigenvalue could be obtained directly from ODE solver by employing the so-called initial eigenfunction technique instead of the mode orthogonality condition.Numerical examples show that the present method is very effective and reliable.
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Key words:
- moderate thick plate /
- vibration /
- stability /
- method of lines
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