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Fast update of elastic body simulation under impact load by efficient reduction method

机译:高效减荷法在冲击载荷下弹性体仿真的快速更新

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摘要

A large number of eigenmodes are required for the realistic simulation of the object under arbitrary dynamic load such as impact load while only a few lower modes are adequate for the simulation of free vibration with initial deformation. For the accurate dynamic simulation under impact, a large amount of computer resources are required to obtain considerable number of eigenpairs. The present study presents an efficient dynamic simulation algorithm and simulation results of elastically deformable body under impact. We employ a modal analysis technique that pre-computes the eigenvalues and the corresponding eigenvectors in the framework of finite element method. For low latency time of real-time simulation, eigenmodes are computed from a reduced system constructed from the original one. To construct reduced system, energy estimation technique in the element level is proposed in the present study. Through a number of examples, it is demonstrated that the proposed method saves computational cost effectively and provides reliable real time results of the deformable solids under impact.
机译:在任意动态载荷(例如冲击载荷)下对物体进行逼真的仿真需要大量的本征模,而对于初始变形的自由振动,只有少数几个较低的模才足够。为了在冲击下进行精确的动态仿真,需要大量的计算机资源才能获得大量的特征对。本研究提出了一种有效的动力学仿真算法和弹性可变形体在冲击下的仿真结果。我们采用一种模态分析技术,可以在有限元方法的框架内预先计算特征值和相应的特征向量。对于实时仿真的低延迟时间,本征模式是从原始系统构造的简化系统中计算出来的。为了构建精简系统,本研究提出了单级能量估计技术。通过大量的实例证明,该方法有效地节省了计算成本,并提供了可变形固体在冲击下的可靠实时结果。

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