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首页> 外文期刊>Applied Mathematical Modelling >Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation
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Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation

机译：基于Krylov子空间和特征向量的瞬态准静态Ritz向量（TQSRV）方法，用于有效接触动态有限元模拟

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This paper presents a novel model order reduction (MOR) method called the transient quasi-static Ritz vector (TQSRV) method for efficient transient finite element (FE) analysis. Comparing with frequency response analysis, linear transient FE analysis with a fixed time step takes less computation time as an effective dynamic stiffness matrix assembled before time marching procedure is factorized once. Nevertheless as the number of degrees of freedom of a FE model has been dramatically increased for accurate engineering simulation, even the state-of-the-art computer and software often face their limitations. For fast but accurate transient FE analysis, we present a new MOR scheme called the TQSRV method with Krylov bases spanned at multiple angular velocities and several lowest eigenvectors. By calculating transient responses of reduced FE models and comparing it with the responses of full FE models, the effectiveness and accuracy of the TQSRV method are demonstrated.
机译：本文提出了一种新颖的模型阶数降阶（MOR）方法，称为瞬态准静态Ritz向量（TQSRV）方法，用于有效的瞬态有限元（FE）分析。与频率响应分析相比，具有固定时间步长的线性瞬态有限元分析需要更少的计算时间，因为在对时间行进过程进行一次分解之前就可以组装有效的动态刚度矩阵。然而，由于为了精确的工程仿真而极大地增加了有限元模型的自由度，即使是最先进的计算机和软件也常常面临其局限性。为了快速而准确地进行瞬态有限元分析，我们提出了一种新的MOR方案，称为TQSRV方法，其Krylov基数跨越了多个角速度和多个最低特征向量。通过计算简化有限元模型的瞬态响应并将其与完整有限元模型的响应进行比较，证明了TQSRV方法的有效性和准确性。

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