A new version of transfer matrix method for multibody systems

Rui, Xiaoting; Bestle, Dieter; Zhang, Jianshu; Zhou, Qinbo

doi:10.1007/s11044-016-9528-5

Cited by 64 publications

(63 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Besides, through Riccati transformation, the new version of MSTMM becomes a little more efficient than the algorithm of Brandl et al 9 , as is evident from Figure 8 in Rui et al 17 and Table 2 in this paper. Besides, comparing to algorithms in Featherstone, 8 Brandl et al 9 , Rodriguez et al 10 and Saha…”

mentioning

confidence: 63%

“…Especially for a chain system, the overall transfer matrix can be obtained by successively multiplying transfer matrices of all elements of the system. 12,16 Coordinate system and direction cosine matrix…”

Section: Fundamentals Of the New Version Of Mstmmmentioning

confidence: 99%

“…In the new version of MSTMM, the definitions of state vector, transfer matrix and transfer equation of elements, system overall transfer matrix and transfer equation as well as the principle for solution may be found in Rui et al 16,17 Here, only the expressions are given. The state vector of elements with spatial motion is ð17Þ where the corresponding parameter matrices are defined in equations (14) and (15).…”

Section: Topology Graph Of Msd Model and Label Conventionmentioning

confidence: 99%

“…The MSTMM has been applied widely in engineering for following aspects: the study procedure of MSD is simplified because of no need to establish the system global dynamics equation; the computational speed is increased greatly because the system matrix order is always low, and it is highly programmable. The new version of MSTMM 16 was presented in 2013, of which the computational complexity is in the order n…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Study on automatic deduction method of overall transfer equation for tree systems as well as closed-loop-and-branch-mixed systems

Sun

Wang

Rui

et al. 2018

Advances in Mechanical Engineering

Self Cite

View full text Add to dashboard Cite

The transfer matrix method for multibody systems has been developed for 20 years and improved constantly. The new version of transfer matrix method for multibody system and the automatic deduction method of overall transfer equation presented in recent years make it more convenient of the method for engineering application. In this article, by first defining branch subsystem, any complex multibody system may be regarded as the assembling of branch subsystems and simple chain subsystems. If there are closed loops in the system, the loops should be ''cut off,'' thus a pair of ''new boundaries'' are generated at each ''cutting-off'' point. The relationship between the state vectors of the pair of ''new boundaries'' may be described by a supplement equation. Based on above work, the automatic deduction method of overall transfer equation for tree systems as well as closed-loop-and-branch-mixed systems is formed. The results of numerical examples obtained by the automatic deduction method and ADAMS software for tree system dynamics as well as mixed system dynamics have good agreements, which validate the features of proposed method such as high computational speed, more effective for complex systems, no need of the system global dynamics equation, highly programmable, as well as convenient popularization and application in engineering. KeywordsNew version of transfer matrix method for multibody systems, branch subsystem, closed-loop subsystem, tree system, mixed system, automatic deduction method of overall transfer equation Date

show abstract

mentioning

confidence: 63%

Section: Fundamentals Of the New Version Of Mstmmmentioning

confidence: 99%

Section: Topology Graph Of Msd Model and Label Conventionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Study on automatic deduction method of overall transfer equation for tree systems as well as closed-loop-and-branch-mixed systems

Sun

Wang

Rui

et al. 2018

Advances in Mechanical Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…Due to the choice of accelerations, angular accelerations, internal torques and internal forces as the state vectors, the transfer matrix method for multibody systems is also applicable to general time-variant, nonlinear multibody systems with large motion. 8 NV-MSTMM has been used in for dynamic analysis of nonlinear dynamics analysis of pipe conveying fluid 9 and linear hybrid multibody system. 10 Dynamics optimization plays an important role in improving the dynamic performance of a multibody system.…”

mentioning

confidence: 99%

Direct differentiation method for sensitivity analysis based on transfer matrix method for multibody systems

Wang

Rui

et al. 2018

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

Summary On one hand, the new version of transfer matrix method for multibody systems (NV‐MSTMM), has been proposed by formulating transfer equations of elements in acceleration level instead of position level as in the original discrete time transfer matrix method of multibody systems to study multibody system dynamics. This new formulation avoids local linearization and allows using any integration algorithms. On the other hand, sensitivity analysis is an important way to improve the optimization efficiency of multibody system dynamics. In this paper, a totally novel direct differentiation method based on NV‐MSTMM for sensitivity analysis of multibody systems is developed. Based on direct differentiation method, sensitivity analysis matrix for each kind of element is established. By assembling transfer matrices and sensitivity analysis matrices based on differentiation law of multiplication, the sensitivity analysis equation of overall transfer equation is deduced. The computing procedure of the proposed method is also presented. All these improvements as well as three numerical examples show that the direct differentiation method based on NV‐MSTMM is suitable for optimizing the dynamic sensitivity in multi–rigid‐body systems.

show abstract

References

2017

Transfer Matrix Method for Multibody Systems

View full text Add to dashboard Cite

A new version of transfer matrix method for multibody systems

Cited by 64 publications

References 9 publications

Study on automatic deduction method of overall transfer equation for tree systems as well as closed-loop-and-branch-mixed systems

Study on automatic deduction method of overall transfer equation for tree systems as well as closed-loop-and-branch-mixed systems

Direct differentiation method for sensitivity analysis based on transfer matrix method for multibody systems

References

Contact Info

Product

Resources

About