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首页> 外文期刊>International journal of non-linear mechanics >Decaying/conserving implicit scheme and non-linear instability analysis of 2D frame structures
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Decaying/conserving implicit scheme and non-linear instability analysis of 2D frame structures

机译：二维框架结构的衰减/保持隐式方案和非线性不稳定性分析

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In this work we deal with the geometric instability problem of the two-dimensional elastic frame structures undergoing large overall motion. The geometrically exact beam model with total Lagrangian formulation is used to obtain the solution to non-linear instability problems with large pre-buckling displacements. We have proposed, in particular, the use of the conserving and decaying scheme for dynamic analysis that can deal with instability problems of this kind with no need for structural damping, whereas it is necessary when a classical time integration scheme like Newmark is used. This scheme is an extension of time-integration energy conserving scheme presented in Ibrahimbegovic and Mamouri, redesigned to introduce desirable properties of controllable energy decay in higher modes, which improve its stability and accuracy. The efficiency of the proposed scheme in non-linear instability is illustrated by a number of numerical simulations.
机译：在这项工作中，我们处理经受大的整体运动的二维弹性框架结构的几何不稳定性问题。具有总拉格朗日公式的几何精确梁模型用于获得具有大预屈曲位移的非线性不稳定性问题的解决方案。尤其是，我们已经提出了将守恒和衰减方案用于动态分析，这种方案无需结构阻尼即可处理这种不稳定性问题，而当使用经典时间积分方案（如Newmark）时则是必要的。该方案是Ibrahimbegovic和Mamouri中提出的时间积分节能方案的扩展，经过重新设计以引入较高模式下可控能量衰减的理想特性，从而提高了其稳定性和准确性。许多数值模拟说明了所提出方案在非线性不稳定性中的效率。

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