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New method for multibody dynamics based on unknown constraint force

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This paper presents a new method for the dynamics of multibody systems based on unknown constraint force.The method can uniformly solve multibody systems with typical configurations,including the system with rigid-flexible coupling,the system in tree topology,and the system with loop constraints.Unlike common methods,the proposed method can model the loop system without"cutting off'loop constraints,leading to the exact same modelling process as the tree-like system performs.Based on graph theory,a topological record matrix Mrec is proposed to capture the arbitrary system configuration.Moreover,constraint forces are selected as the key variables in semi-recursive framework.With the recursive kinematics relationship between adjacent bodies,the constraint force equation is further assembled to achieve the full-state system solution.The numerical simulations demonstrate the accuracy of the proposed method.

multibody systemdynamic modellingrigid-flexible couplingunknown constraint forcegraph theorysemi-recursive algorithm

TIAN Ying、JIA YingHong、ZHANG Jun

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School of Astronautics,Beihang University,Beijing 100191,China

Beijing Institute of Control Engineering,Beijing 100190,China

National Laboratory of Space Intelligent Control,Beijing 100190,China

国家重点研发计划国家自然科学基金

2018AAA010300311972056

2024

中国科学:技术科学(英文版)
中国科学院

中国科学:技术科学(英文版)

CSTPCDEI
影响因子:1.056
ISSN:1674-7321
年,卷(期):2024.67(3)
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