Finite element formulae for internal forces of Bernoulli–Euler beams under moving vehicles

Finite element formulae for internal forces of Bernoulli–Euler beams under moving vehicles
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运动车辆下伯努利欧拉梁内力的有限元公式

DOI:
10.1016/j.jsv.2012.11.011
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发表时间:
2013-03
影响因子:
4.7
通讯作者:
F.T.K. Au
F.T.K. Au
中科院分区:
工程技术2区
文献类型:
--
作者:
Ping Lou;F.T.K. Au

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本文提出了精确计算车辆作用下伯努利-欧拉梁内力即弯矩和剪力的有限元公式。根据动力平衡条件,推导出了这些内力的计算公式,并给出了求解步骤。通过与已有的封闭解的比较,验证了所提公式的正确性。简支梁和连续梁在移动车辆作用下的内力可以用几种方法求得。数值计算结果表明,所提出的计算公式是有效的和准确的预测内力。
This paper presents finite element formulae for calculating accurately the internal forces, namely bending moment and shear force, of Bernoulli–Euler beams under moving vehicles. The formulae for evaluating these internal forces are derived based on the dynamic equilibrium conditions and the solution procedure is also given. The correctness of the proposed formulae is verified by comparing with available closed-form solutions. The internal forces of simply supported and continuous beams subjected to moving vehicles are obtained by several methods. The numerical results show that the proposed formulae are efficient and accurate in predicting the internal forces.
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