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Static and Vibrational Analysis of Partially Composite Beams Using the Weak-Form Quadrature Element Method

机译：弱形式正交元法对部分组合梁的静振动分析

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摘要

Deformation of partially composite beams under distributed loading and free vibrations of partially composite beams under various boundary conditions are examined in this paper. The weak-form quadrature element method, which is characterized by direct evaluation of the integrals involved in the variational description of a problem, is used. One quadrature element is normally sufficient for a partially composite beam regardless of the magnitude of the shear connection stiffness. The number of integration points in a quadrature element is adjustable in accordance with convergence requirement. Results are compared with those of various finite element formulations. It is shown that the weak form quadrature element solution for partially composite beams is free of slip locking, and high computational accuracy is achieved with smaller number of degrees of freedom. Besides, it is found that longitudinal inertia of motion cannot be simply neglected in assessment of dynamic behavior of partially composite beams.
机译：本文研究了部分组合梁在分布载荷下的变形以及在各种边界条件下部分组合梁的自由振动。使用了弱形式的正交元素方法，该方法的特征是直接评估问题的变量描述中涉及的积分。一个正交单元通常对于部分组合的梁就足够了，而与剪切连接刚度的大小无关。正交元素中积分点的数量可以根据收敛要求进行调整。将结果与各种有限元公式的结果进行比较。结果表明，部分组合梁的弱形式正交单元解没有滑动锁定，并且以较少的自由度实现了较高的计算精度。此外，发现在部分组合梁的动力特性评估中不能简单地忽略运动的纵向惯性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第4期|p.974023.1-974023.23|共23页
  • 作者

    Zhiqiang Shen; Hongzhi Zhong;

  • 作者单位

    Department of Civil Engineering, Tsinghua University, Beijing 100084, China;

    Department of Civil Engineering, Tsinghua University, Beijing 100084, China;

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