喻莹, 刘飞鸿, 王钦华, 罗尧治, 李洋. 有限质点法阻尼构造问题的研究[J]. 工程力学, 2019, 36(11): 34-40. DOI: 10.6052/j.issn.1000-4750.2018.12.0694
引用本文: 喻莹, 刘飞鸿, 王钦华, 罗尧治, 李洋. 有限质点法阻尼构造问题的研究[J]. 工程力学, 2019, 36(11): 34-40. DOI: 10.6052/j.issn.1000-4750.2018.12.0694
YU Ying, LIU Fei-hong, WANG Qin-hua, LUO Yao-zhi, LI Yang. STUDY ON DAMPING IN FINITE PARTICLE METHOD[J]. Engineering Mechanics, 2019, 36(11): 34-40. DOI: 10.6052/j.issn.1000-4750.2018.12.0694
Citation: YU Ying, LIU Fei-hong, WANG Qin-hua, LUO Yao-zhi, LI Yang. STUDY ON DAMPING IN FINITE PARTICLE METHOD[J]. Engineering Mechanics, 2019, 36(11): 34-40. DOI: 10.6052/j.issn.1000-4750.2018.12.0694

有限质点法阻尼构造问题的研究

STUDY ON DAMPING IN FINITE PARTICLE METHOD

  • 摘要: 有限质点法(FPM)是一种向量式的结构计算新方法,它通过质点的运动描述结构的行为。该方法本身是一个求解结构动力学问题的显示积分方法,但是一直以来有限质点法对阻尼问题的考虑存在不足。该文首先将介绍有限质点法的基本原理和现有阻尼形式,然后将基于Rayleigh方法提出两种适用于有限质点法的阻尼构造方法。通过单层网壳多点激励下的动力数值分析以及框架振动台试验两个实例进行讨论,验证了提出的阻尼构造方法的正确性。结果表明该文工作能改善原有阻尼构造形式的不足,且具有较高的精度,并能完善有限质点法的动力计算理论。

     

    Abstract: The finite particle method (FPM) is a new structural analysis method based on the vector mechanics. It describes structural behaviors by analyzing particles moving and is an explicit time integration framework to solve structural dynamic problems. However, in terms of the energy dissipation mechanism, deficient damping form exists in this method. Firstly, the fundamental theory of FPM and its existing damping model are introduced. Based on the Rayleigh scheme, two models for FPM damping are proposed. Then, the proposed damping models are discussed by numerical examples and tests. The results show that both of the proposed models can enhance the damping approximation with a higher accuracy and therefore improve the FPM theory.

     

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