A new approach to the incorporation of servo constraints in multibody dynamics

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• 作者：Yinping Yang ; Peter Betsch and Robert Altmann
• 刊名：PAMM
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：16
• 期：1
• 页码：67-68
• 全文大小：90K
• ISSN：1617-7061

文摘

A new index reduction approach is developed to solve the servo constraint problems [2] in the inverse dynamics simulation of underactuated mechanical systems. The servo constraint problem of underactuated systems is governed by differential algebraic equations (DAEs) with high index. The underlying equations of motion contain both holonomic constraints and servo constraints in which desired outputs (specified in time) are described in terms of state variables. The realization of servo constraints with the use of control forces can range from orthogonal to tangential [3]. Since the (differentiation) index of the DAEs is often higher than three for underactuated systems, in which the number of degrees of freedom is greater than the control outputs/inputs, we propose a new index reduction method [1] which makes possible the stable numerical integration of the DAEs. We apply the proposed method to differentially flat systems, such as cranes [1,4,5], and non-flat underactuated systems. (