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用有限积分计算曲率复杂分布下的结构挠度

DOI: 10.6052/1000-0992-20120203, PP. 19-23

Keywords: 挠度计算,有限积分法,曲率挠度分析

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Abstract:

有限积分法是Brown和Trahair在求解微分方程时采用的数值解法,其核心环节是已知函数z=z(x)的导函数z′=z′(x)的某些值的情况下数值分析z的方法.由曲率φ计算挠度,实质意义上是由z″计算z的数学问题.基于有限积分法给出的z与z″之间及z′与z″之间的数值关系,通过矩阵运算推导得到了挠曲矩阵,通过引入转换式φ=-z″得到了曲率挠度关系式,讨论了几种常见边界条件下的曲率挠度关系,提出了曲率复杂分布情况下结构挠度计算的有限积分方法.

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