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

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  • Zhiqiang Shen
  • Hongzhi Zhong

Abstract

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.

Suggested Citation

  • Zhiqiang Shen & Hongzhi Zhong, 2012. "Static and Vibrational Analysis of Partially Composite Beams Using the Weak-Form Quadrature Element Method," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-23, March.
    • Handle: RePEc:hin:jnlmpe:974023
    DOI: 10.1155/2012/974023
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