单层组合网壳的双重非线性稳定问题

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推导了梁元和三角形板壳元(DKT元)在U.L.描述下的双重非线性切线刚度矩阵,对单层组合网壳结构进行了双重非线性稳定荷载位移全过程跟踪分析.通过对增量形式虚功方程作线性化处理来减少计算量,采用施加线性弹簧法处理非正定切线刚度矩阵,用主、从节点考虑梁与板的耦合作用,分析了梁与板节点偏差的影响,并进行了实验对比研究.分析表明本文方法简便可行 Deduced Liang Yuan and triangular plate element (DKT element) in U. L. The dual nonlinear tangential stiffness matrix is ​​described. The single-layer composite reticulated shell structure is subjected to the dual nonlinear stable load-displacement process tracking analysis. Through the linearization of the incremental form of the virtual work equation to reduce the computational burden, the linear spring method is applied to deal with the non-positive definite tangent stiffness matrix, and the coupling between the beam and the plate is considered with the master and slave nodes. The deviation of the beam and plate joints is analyzed. Influences and comparative experiments were conducted. Analysis shows that this method is simple and feasible
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