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CURVATURE-BASED FINITE ELEMENT METHOD FOR EULER-BERNOULLI BEAMS

机译:Euler-Bernoulli梁基于曲率的有限元方法

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摘要

This paper presents a new method called the curvature-based finite element method to solve Euler-Bernoulli beam problems. An approximated curvature distribution is selected first, and then the approximated transverse displacement is determined by double integrations. Four numerical examples demonstrate the validity of the method, and the results show that the errors are smaller than those generated by a conventional method, the displacement-based finite element method, for comparison based on the same number of degrees of freedom.
机译:本文提出了一种新的方法,称为基于曲率的有限元方法,用于解决Euler-Bernoulli梁问题。首先选择近似曲率分布,然后通过双积分确定近似横向位移。四个数值示例证明了该方法的有效性,结果表明,与基于相同自由度数进行比较的传统方法(基于位移的有限元方法)相比,误差要小。

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