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首页> 外文期刊>Mechanics Based Design of Structures and Machines >An index 0 Differential-Algebraic equation formulation for multibody dynamics: Holonomic constraints
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An index 0 Differential-Algebraic equation formulation for multibody dynamics: Holonomic constraints

机译:多体动力学索引0差分代数方程式:定期限制

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摘要

The Lagrange multiplier form of index 3 differential-algebraic equations of motion for holonomically constrained multibody systems is transformed using tangent space generalized coordinates to an index 0 form that is equivalent to an ordinary differential equation. The index 0 formulation includes embed ded tolerances that assure satisfaction of position, velocity, and acceleration constraints and is solved using established explicit and implicit numerical integration methods. Numerical experiments with two spatial applications show that the formulation accurately satisfies constraints, preserves invariants due to conservation laws, and behaves as if applied to an ordinary differential equation.
机译:使用切线空间广义坐标转换为定期限制的多体系统的索引3差分 - 代数方程的索引3差分 - 代数方程,以相当于常微分方程的索引0形式。 索引0配方包括嵌入的特权,以确保位置,速度和加速度约束的满足,并使用已建立的显式和隐式数值集成方法解决。 具有两个空间应用的数值实验表明,制剂精确地满足约束,由于保护法而保存不变性,并且表现得像应用于普通微分方程一样。

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