Abstract In this study, an irregular lattice model for geometrically nonlinear analysis of structures is proposed. A conventional lattice element formulation, based on the rigid-body-spring concept, is extended to reflect geometric nonlinearity under large displacements. The large rotational behavior of each lattice cell is considered. Along with general derivation of the new lattice element formulation, an explicit solution scheme is implemented for the dynamic analysis of structures. Examples are presented to demonstrate capabilities of the proposed method for solving geometrically nonlinear problems of elastic solids. Benchmark comparisons are made with finite element solutions for both dynamic and quasi-static loading cases.

中文翻译：

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结构几何非线性动力学的不规则晶格模型

摘要 在这项研究中，提出了一种用于结构几何非线性分析的不规则晶格模型。基于刚体-弹簧概念的传统晶格单元公式被扩展以反映大位移下的几何非线性。考虑了每个晶格单元的大旋转行为。随着新晶格单元公式的一般推导，为结构的动态分析实施了显式求解方案。举例说明了所提出的解决弹性固体几何非线性问题的方法的能力。对动态和准静态载荷情况下的有限元解决方案进行了基准比较。