MEXX - Numerical Software for the Integration of Constrained Mechanical Multibody Systems

MEXX - Numerical Software for the Integration of Constrained Mechanical Multibody Systems
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MEXX - 用于集成约束机械多体系统的数值软件

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发表时间:
1992
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通讯作者:
C. Engstler
C. Engstler
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作者:
C. Engstler

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MEXX(MEXanical systems eXtrapolation integrator的缩写)是一个用于约束机械系统时间积分的Fortran代码。MEXX适合于描述符形式的运动方程的直接积分。它基于时间步进方法的外推,该方法在微分方程中显式,在非线性约束中线性隐式。它只需要结构良好的线性方程组的解决方案,可以解决与机构的数量线性增长的计算工作,在多体系统的情况下,几个封闭的运动回路。位置和速度约束在整个积分区间内强制执行,而加速度约束不需要公式化。MEXX具有时间连续解表示(对图形有用)和事件(如撞击)位置的选项。本文描述了MEXX及其基本概念。* 维尔茨堡大学 ** Universität因斯布鲁克这项工作得到了康拉德·楚泽奖学金和奥地利科学基金会项目P8443-PHY的部分支持。
MEXX (short for MEXanical systems eXtrapolation integrator) is a Fortran code for time integration of constrained mechanical systems. MEXX is suited for direct integration of the equations of motion in descriptor form. It is based on extrapolation of a time stepping method that is explicit in the differential equations and linearly implicit in the nonlinear constraints. It only requires the solution of well–structured systems of linear equations which can be solved with a computational work growing linearly with the number of bodies, in the case of multibody systems with few closed kinematic loops. Position and velocity constraints are enforced throughout the integration interval, whereas acceleration constraints need not be formulated. MEXX has options for time–continuous solution representation (useful for graphics) and for the location of events such as impacts. The present article describes MEXX and its underlying concepts. * Universität Würzburg ** Universität Innsbruck This work was supported in part by a Konrad Zuse Fellowship, and by the Austrian Science Foundation project P8443–PHY.