Inverse Eigenvalue Theory-Based Rigid Multibody Modeling Method of Complex Flexible Structures in Large-Scale Mechanical Systems
Joint Authors
Luo, X.
Chen, Xuedong
Jiang, Wei
Wu, Jiulin
Zeng, Lizhan
Han, Bin
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Increasing attention is paid to modeling flexibility of individual components in the multibody simulation of large-scale mechanical systems.
Nevertheless, the high model order of common methods such as FEA restricts efficient explorations, especially in dynamic design and iterative optimization.
In this paper, a rigid multibody modeling strategy (RMMS) with low DOFs and explicit physical meaning is proposed, which directly discretizes a continuous structure into a number of rigid finite elements (RFEs) connected by spring-damping elements (SDEs).
In the RMMS, a new identification method from the perspective of the inverse vibration problem is particularly put forward to resolve the parameters of SDEs, which is crucial to the implementation of RMMS in complex flexible structures.
With decoupling and linearization, this nonlinear problem is transformed into solving the incompatible linear equations in Rn2 vector space based on vectorization operator and Kronecker product, and optimal parameters are obtained by calculating the Moore–Penrose generalized inverse.
Finally, the comparison of the experimental results with the simulated ones by the RMMS strongly validates the feasibility and correctness of the RMMS in predicting the dynamic behaviors while with few DOFs and explicit physical meaning; the application in a lithography system exhibits the applicability of the RMMS for dynamic modeling of large-scale mechanical systems.
American Psychological Association (APA)
Wu, Jiulin& Zeng, Lizhan& Han, Bin& Luo, X.& Chen, Xuedong& Jiang, Wei. 2020. Inverse Eigenvalue Theory-Based Rigid Multibody Modeling Method of Complex Flexible Structures in Large-Scale Mechanical Systems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1201051
Modern Language Association (MLA)
Wu, Jiulin…[et al.]. Inverse Eigenvalue Theory-Based Rigid Multibody Modeling Method of Complex Flexible Structures in Large-Scale Mechanical Systems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1201051
American Medical Association (AMA)
Wu, Jiulin& Zeng, Lizhan& Han, Bin& Luo, X.& Chen, Xuedong& Jiang, Wei. Inverse Eigenvalue Theory-Based Rigid Multibody Modeling Method of Complex Flexible Structures in Large-Scale Mechanical Systems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1201051
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201051