Transfer Matrix Method for Multibody Systems

Rui, Xiaoting; Wang, Guoping; Zhang, Jianshu

doi:10.1002/9781118724811

Cited by 29 publications

(87 citation statements)

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“…At an input point of an element, forces are considered positive in the axis direction, whereas moments about negative frame axes are considered as positive. At an output point this sign convention is inverted [4]. According to the new version of MSTMM [6], the state vector of these points is defined as…”

Section: Topology Graph and General Conceptmentioning

confidence: 99%

“…Therefore, the geometric equations have to be supplemented by additional equations resulting from rigid body kinematics. Generally, the accelerations of an arbitrary point P of the rigid body are related to those of the input end I 1 by [4]…”

Section: (B) Geometric Equationmentioning

confidence: 99%

“…As the chain length n increases, the accumulated errors caused by successive multiplication of transfer matrices U i may increase and may probably result in complete failure, see [9] for classical MSTMM. The Riccati transfer matrix method has shown to be effective for overcoming such kind of numerical problems [4]. In the following, a new version of Riccati MSTMM based on the new version of MSTMM is established, where the computing procedure is rather similar to linear or classical MSTMM.…”

Section: Application Of Riccati Transformation To Chain Systemsmentioning

confidence: 99%

“…Multibody system methods are important for design and analysis of modern complex mechanical systems [1][2][3][4], where improving computational speed and stability of algorithms has always been one of the key research directions. In order to increase computation speed and simplify modeling, one of the authors and his co-workers presented and perfected constantly the transfer matrix method for multibody systems (MSTMM) [4][5][6][7]. Especially, the Riccati transformation was introduced to deal with long body chains.…”

Section: Introductionmentioning

confidence: 99%

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A new version of the Riccati transfer matrix method for multibody systems consisting of chain and branch bodies

et al. 2019

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Computational speed and stability are two important aspects in the dynamics analysis of large-scale complex multibody systems. In order to improve both in the context of the multibody system transfer matrix method, a new version of the Riccati transfer matrix method is presented. Based on the new version of the general transfer matrix method for multibody system simulation, recursive formulae are developed which not only retain all advantages of the transfer matrix method, but also reduce the truncation error. As a result, the computational speed, accuracy and efficiency are improved. Numerical computation results obtained by the proposed method and an ordinary multibody system formulation show good agreement. The successful computation for a spatial branch system with more than 100000 degrees of freedom validates that the proposed method is also working for huge systems.

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Section: Topology Graph and General Conceptmentioning

confidence: 99%

Section: (B) Geometric Equationmentioning

confidence: 99%

Section: Application Of Riccati Transformation To Chain Systemsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A new version of the Riccati transfer matrix method for multibody systems consisting of chain and branch bodies

et al. 2019

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“…Linear and non-linear equations of motion are many times obtained with the methods of multibody systems. The transfer matrix method, which is connected to vibrating systems and extended by Rui et al [71] to general multibody systems has a high impact in the works belonging to this community, which counts 421 documents. comm-12 Aeronautic applications.…”

Section: Detection Of Thematic Communitiesmentioning

confidence: 99%

Detection of Communities within the Multibody System Dynamics Network and Analysis of Their Relations

et al. 2019

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Multibody system dynamics is already a well developed branch of theoretical, computational and applied mechanics. Thousands of documents can be found in any of the well-known scientific databases. In this work it is demonstrated that multibody system dynamics is built of many thematic communities. Using the Elsevier’s abstract and citation database SCOPUS, a massive amount of data is collected and analyzed with the use of the open source visualization tool Gephi. The information is represented as a large set of nodes with connections to study their graphical distribution and explore geometry and symmetries. A randomized radial symmetry is found in the graphical representation of the collected information. Furthermore, the concept of modularity is used to demonstrate that community structures are present in the field of multibody system dynamics. In particular, twenty-four different thematic communities have been identified. The scientific production of each community is analyzed, which allows to predict its growing rate in the next years. The journals and conference proceedings mainly used by the authors belonging to the community as well as the cooperation between them by country are also analyzed.

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Transfer Matrix Method for Multibody Systems

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Transfer Matrix Method for Multibody Systems

Cited by 29 publications

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A new version of the Riccati transfer matrix method for multibody systems consisting of chain and branch bodies

A new version of the Riccati transfer matrix method for multibody systems consisting of chain and branch bodies

Detection of Communities within the Multibody System Dynamics Network and Analysis of Their Relations

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