Multibody Dynamics in Natural Coordinates through Automatic Differentiation and High-Index DAE Solving

被引：1

作者：

Pryce, John D. ^{[1
]}

Nedialkov, Nedialko S. ^{[2
]}

机构：

[1] Cardiff Univ, Cardiff, Wales

[2] McMaster Univ, Hamilton, ON, Canada

来源：

ACTA CYBERNETICA | 2020年 / 24卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Lagrangian mechanics; differential-algebraic equations; natural coordinates; simulation; algorithmic differentiation; YAML;

D O I：

10.14232/actacyb.24.3.2020.4

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

The Natural Coordinates (NCs) method for Lagrangian modelling and simulation of multibody systems is valued for giving simple, sparse models. We describe our version of it and compare with the classical approach of Jalan and Bayo (JBNCs). Our NCs use the high-index differential-algebraic equation solver DAETS. Algorithmic differentiation, not symbolic algebra, forms the equations of motion from the Lagrangian. We obtain significantly smaller equation systems than JBNCs, at the cost of a non-constant mass matrix for fully 3D models a minor downside in the DAETS context. Examples in 2D and 3D are presented, with numerical results.

引用

页码：315 / 341

页数：27

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