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An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies

Liu, X., Sun, C., Banerjee, R., Dan, H-C. and Chang, L. (2020). An exact dynamic stiffness method for multibody systems consisting of beams and rigid-bodies. Mechanical Systems and Signal Processing, 150, 107264. doi: 10.1016/j.ymssp.2020.107264


An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems consisting of flexible beams and rigid bodies. The theory is sufficiently general in that the rigid bodies can be of any shape or size, but importantly, the theory permits connections of the rigid bodies to any number beams at any arbitrary points and oriented at any arbitrary angles. For beam members, a range of theories including the Bernoulli-Euler and Timoshenko theories are applied. The assembly procedure for the beam and rigid body properties is simplified without resorting to matrix inversion. The difficulty generally encountered in computing the problematic J0 count when applying the Wittrick-Williams algorithm for modal analysis has been overcome. Applications of different beam theories for both axial and bending vibrations have enabled the examination of the role played by rigid-body parameters on the multi-body system's dynamic behaviour. Some exact benchmark results are provided and compared with published results and with finite element solutions. This research provides an exact and highly efficient analysis tool for multibody system dynamics which is for the free vibration analysis, ideally suited for optimization and inverse problems such as modal parameter identification.

Publication Type: Article
Additional Information: © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publisher Keywords: Multibody system, Dynamic stiffness method, Wittrick-Williams algorithm, Exact modal analysis, Rigid body, Rayleigh-Love theory and Timoshenko theory
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Departments: School of Mathematics, Computer Science & Engineering > Engineering > Mechanical Engineering & Aeronautics
Date available in CRO: 19 Jul 2021 14:58
Date deposited: 19 July 2021
Date of acceptance: 29 August 2020
Date of first online publication: 16 September 2020
Text - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

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