点击次数：

所属单位：航空学院

发表刊物：Comput Math Appl

摘要：This paper presents a novel three-dimensional (3D) sub-parametric quadrature element (SP-QE) method for solving the coupled dynamic behavior of curved and pre-twisted beamlike structures with irregular shapes of cross-section. The technique is an extension of the existing quadrature element method (QEM) with regular shapes by mapping the irregular solid into a regular cube. Detailed formulations are worked out. Beams with rectangular, circular, elliptical and airfoil cross-sections, various curvature and pre-twist rates, and different boundary conditions are investigated. Either Serendipity elements or Lagrange elements are considered in the mapped regular domain. Convergence studies are carried out to show the computational performance of the proposed elements. Results are compared either with the existing 3D spectral-Tchebychev (3D-ST) solutions or with the finite element data. It is shown that the proposed method can yield accurate solutions with small number of degrees of freedom. Consistent or lumped mass matrix affects little on the accuracy of solutions. Therefore, the element with lumped mass matrix can be efficiently used in dynamic analysis of solids with regular and irregular shapes. © 2018 Elsevier Ltd

ISSN号：0898-1221

是否译文：否

发表时间：2018-01-01

合写作者：Yuan, Zhangxian

通讯作者：王鑫伟