A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics

A Second Order Extension of the Generalized–α Method for Constrained Systems in Mechanics
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DOI：
10.1007/978-1-4020-8829-2_8
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发表时间：
2009
期刊：
--
影响因子：
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通讯作者：
Laurent O. Jay;D. Negrut
Laurent O. Jay;D. Negrut
中科院分区：
其他
文献类型：
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作者：
Laurent O. Jay;D. Negrut

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本文将Chung和Hulbert的广义-α方法推广到具有非常数质量矩阵、完整约束和/或非完整约束的力学系统。这样的系统在多体动力学中经常遇到。对于变步长情况，提出了一个新的保持二阶精度的调整公式。
We present a new second order extension of the generalized—α method of Chung and Hulbert for systems in mechanics having nonconstant mass matrix, holonomic constraints, and/or nonholonomic constraints. Such systems are frequently encountered in multibody dynamics. For variable step—sizes, a new adjusting formula preserving the second order of the method is proposed.