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首页> 外文期刊>Journal of Engineering Mechanics >Energy-momentum conserving algorithm for nonlinear dynamics of laminated shells based on a third-order shear deformation theory
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Energy-momentum conserving algorithm for nonlinear dynamics of laminated shells based on a third-order shear deformation theory

机译：基于三阶剪切变形理论的层合壳非线性动力学的能量动量守恒算法

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The paper describes an energy-momentum conserving time stepping algorithm for nonlinear dynamic analysis of laminated shell type structures undergoing finite rotations and large overall motion. The shell model is based on a third order shear deformation theory and falls within the class of geometrically exact shell theories. This algorithm is based on a general methodology for the design of exact energy-momentum conserving algorithms proposed recently by Simo and Tarnow. It is second-order accurate, unconditionally stable, and preserves exactly, by design, the fundamental constants of the shell motion such as the total linear momentum, the total angular momentum, and the total energy in case the system is Hamiltonian. The finite element discretization of the present shell model is closely related to a recent work by the authors dealing with the static case. Particular attention is devoted to the consistent linearization of the weak form of the fully discretized initial boundary value problem in order to achieve quadratic rate of convergence typical of the Newton-Raphson solution procedure. A range of numerical examples is presented to demonstrate the performance of the proposed formulation.
机译：本文描述了一种能量动量守恒的时间步长算法，用于有限转动和大整体运动的层合壳型结构的非线性动力学分析。壳模型基于三阶剪切变形理论，并且属于几何精确的壳理论类别。该算法基于Simo和Tarnow最近提出的用于设计精确的能量动量守恒算法的通用方法。它是二阶精确的，无条件稳定的，并且在设计上精确地保留了壳运动的基本常数，例如总线性动量，总角动量和总能量（如果系统为哈密顿量）。当前壳模型的有限元离散化与作者处理静态情况的最新工作密切相关。为了获得Newton-Raphson解过程典型的二次收敛速率，需要特别注意完全离散化的初始边值问题的弱形式的一致线性化。给出了一系列数值示例，以证明所提出配方的性能。

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