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Timoshenko梁静力学和动力学问题有限体积法求解

DOI: 10.11990/jheu.201408044

Keywords: 有限体积法, Timoshenko梁, 静力学, 动力学, 剪切自锁现象, 固有频率, 位移响应

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Abstract:

为探究Timoshenko梁模型数值计算方法,开展了基于有限体积法的Timoshenko梁数值计算方法研究。利用有限体积法对考虑剪切变形的梁进行了离散,并进行了静力学分析和动力学分析,通过几个经典算例将此方法所得到的数值解与解析解及有限元解进行了对比,结果证明,有限体积法有较高精度。与此同时利用有限体积法离散Timoshenko梁时当梁为细长梁时不存在剪切自锁现象。有限体积法可以应用于Timoshenko梁模型静力弯曲分析、固有特性和动力响应分析。

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