圆柱壳的非线性有限元分析及其并行求解

NONLINEAR FINITE ELEMENT ANALYSIS OF CYLINDRICAL SHELL USING PARALLEL PROCESSORS

  • 摘要: 采取16节点曲线边等参元对圆柱壳的几何非线性进行有限元分析. 分析考虑了完全非线性运动关系以便预测在非线性区域的稳定平衡路径. 建立了基于广义非线性位移的有限元公式. 提出了基于全Lagrangian格式的非线性有限元分析的并行计算策略. 在集群环境下, 对圆柱壳的几何非线性分析进行了并行计算. 计算结果表明: 在集群环境下,所提并行算法具有良好的加速比和效率.

     

    Abstract: The geometrically nonlinear finite element analysis forcylindrical shells is carried out using the 16-node curvilinear side isoparametricelement. The analysis takes into accout of fully nonlinear kinematic relations sothat the stable equilibrium paths in the advanced nonlinear regime can beaccurately predicted. A general nonlinear displacement-based finite elementformulation is established. The parallel strategies for the nonlinear finiteelement analysis based on the total Lagrangian formulation are presented andimplemented on the workstation cluster. The geometrically nonlinearanalysis for cylindrical shells is performed using parallel computing.The results show that the proposed algorithm can achieve better parallelspeedup and efficiency under the cluster environment.

     

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