scholarly journals Reduced multibody system transfer matrix method using decoupled hinge equations

2021 ◽  
Vol 1 (2) ◽  
pp. 182-193
Author(s):  
Xue Rui ◽  
Dieter Bestle
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody System

Study on the Mixed Method of Transfer Matrix Method and Finite Element Method for Vibration of Multibody System

2019 ◽  
Author(s):  
Hanjing Lu ◽  
Xiaoting Rui ◽  
Jianshu Zhang ◽  
Yuanyuan Ding
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Transfer Matrix ◽  
Mixed Method ◽  
Transfer Matrix Method ◽  
Transfer Equation ◽  
Matrix Method ◽  
Multibody System ◽  
Mass Matrix ◽  
Element Method

Abstract The mixed method of Transfer Matrix Method for Multibody System (MSTMM) and Finite Element Method (FEM) is introduced in this paper. The transfer matrix and transfer equation of multi-rigid-body subsystem are deduced by MSTMM. The mass matrix and stiffness matrix of flexible subsystem are calculated by FEM and then its dynamics equation is established. The connection point relations among subsystems are deduced and the overall transfer matrix and transfer equation of multi-rigid-flexible system are established. The vibration characteristics of the system are obtained by solving the system frequency equation. The computational results of two numerical examples show that the proposed method have good agreements with MSTMM and FEM. Multi-rigid-flexible-body system with multi-end beam can be solved by proposed method, which extends the application field of MSTMM and provides a theoretical basis for calculating complex systems with multi input end flexible bodies of arbitrary shape.

Research on the Solver of Riccati Transfer Matrix Method for Linear Multibody Systems

2018 ◽  
Author(s):  
Junjie Gu ◽  
Xiaoting Rui ◽  
Jianshu Zhang ◽  
Gangli Chen
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Multibody System ◽  
Automatic Generation ◽  
Object Oriented Programming ◽  
Connectivity Matrix ◽  
Closed Loops ◽  
Practical Engineering

Riccati transfer matrix method for multibody systems (RMSTMM) has lower matrix order and better numerical stability than transfer matrix method for multibody systems (MSTMM). In order to make technicians more convenient to apply RMSTMM in practical engineering to improve the computational efficiency of dynamics, in this paper, a linear RMSTMM solver is developed based on the linear RMSTMM theory. A solver input document with good compatibility and extensibility is designed based on extensible markup language (XML); The data structure of multibody system is designed based on object-oriented programming method. The technique of auto selecting the cut hinges of closed-loops of the multibody system is established by introducing the correlation matrix and the dynamic connectivity matrix which depict the connecting state of elements. The automatic generation of the derived tree system by cutting off the closed-loops in the multibody system is realized based on the technique. The automatic regularly numbering of dynamics elements of multibody systems is realized based on the depth first recursive traversal algorithm; Finally, the Riccati transfer matrix recursive technique is implemented based on the regular numbers of dynamics elements of the multibody system. An example is given to verify the effectiveness of the solver which provides a powerful tool for extending the application of RMSTMM in practical engineering.

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

2018 ◽  
Vol 10 (7) ◽  
pp. 168781401878875
Author(s):  
Lu Sun ◽  
Guoping Wang ◽  
Xiaoting Rui ◽  
Xue Rui
Keyword(s):  
System Dynamics ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Transfer Equation ◽  
Matrix Method ◽  
Closed Loop ◽  
Multibody System ◽  
Mixed System ◽  
Global Dynamics ◽  
Mixed Systems

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.

Analysis of Elastic-Plastic Responses of a Water Tower Structure during an Earthquake Based on the Transfer Matrix Method of Multibody System

2014 ◽  
Vol 974 ◽  
pp. 318-325
Author(s):  
Hui Jia Huang ◽  
Jian Guo Ding ◽  
Zhi Qiao
Keyword(s):  
Transfer Matrix ◽  
Seismic Performance ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody System ◽  
Structural Dynamic ◽  
City Life ◽  
Tower Structure ◽  
The City ◽  
Plastic Responses

As a member of the city life lines, water towers are still widely used as an outdoor device to supply water. Study on the seismic performance of the water tower is of great significance because earthquakes often happen in China. Finite element methods, such as the ANSYS, are widely used as traditional structural dynamic analysis methods, but the calculation efficiency of the ANSYS is very low. In this paper, the transfer matrix method of multibody system (MS-TMM) was introduced to analyze the seismic performance of a water tower. Based on the example as a water tower, the calculation speed of the MS-TMM is much faster than the calculation speed of the ANSYS and the responses obtained by the MS-TMM are nearly equivalent to the responses obtained by the ANSYS. Evidently, the MS-TMM can satisfy the requirements of calculation efficiency and calculation accuracy in computing the responses of water towers during earthquakes.

Dynamics design for multiple launch rocket system using transfer matrix method for multibody system

2016 ◽  
Vol 230 (14) ◽  
pp. 2557-2568 ◽  
Author(s):  
Wenbing Tang ◽  
Xiaoting Rui ◽  
Guoping Wang ◽  
Xue Rui ◽  
Zhendong Song ◽  
...  
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody System ◽  
Low Cost ◽  
Research Field ◽  
Development Direction ◽  
Complex Mechanical Systems ◽  
Rocket System ◽  
Firing Order

Dynamics design for complex mechanical systems has become an important research field and development direction at present, capturing attentions of an increasing number of engineers and scientists worldwide. Based on many advantages of the transfer matrix method for multibody system in studying multibody system dynamics, a design problem of a multiple launch rocket system is solved in this paper. Particular attention is addressed to model actions of the exhaust flow on the multiple rocket launcher, which are associated with firing order and firing intervals of rockets. Combined with a genetic algorithm, firing order and firing intervals are optimized to achieve optimum impact point dispersion reduction. The results of numerical simulation and verification tests show good agreement, while the dispersion characteristics of rockets have been improved in a low-cost way.

Advances in Transfer Matrix Method of Multibody System

2009 ◽  
Author(s):  
Xiaoting Rui ◽  
Guoping Wang ◽  
Laifeng Yun ◽  
Bin He ◽  
Fufeng Yang ◽  
...  
Keyword(s):  
System Dynamics ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Multibody System ◽  
Engineering Problem ◽  
Multibody System Dynamics ◽  
Integration Scheme ◽  
Linear And Nonlinear

Multibody system dynamics has become important theoretical tool for wide engineering problems analysis in the world. Transfer matrix method of multibody system (MS-TMM) is a new approach for multibody system dynamics, which is developed in 20 years. In this paper, the transfer matrix method for linear and nonlinear multibody systems are introduced respectively. For linear multibody systems, the new concept of body dynamics equation and augmented eigenvector, the construction method of orthogonality, and the computing method of vibration characteristics and dynamic response are introduced; For nonlinear multibody systems, the discrete time transfer matrix method of multibody system (MS-DT-TMM) are presented. The apply of the transfer matrix method for multibody systems with tree, closed loop and network structures are also introduced. The transfer matrix method has good characteristics: 1 It does not require overall dynamics equations of system and simplify the solution procedure. 2 It has high computing speed, because the system matrices are always small irrespective of the size of a system. 3 It avoids the difficulties caused by developing overall dynamic equations of a system and by computing too high order matrices. 4 It provides maximum flexibility in modeling various configurations of multibody systems, by creating library of transfer matrices and assembling them easily, and by introducing any suitable numerical integration scheme. The new method is efficient for linear and nonlinear multi-rigid-flexible-body system, and it has been paid great attention, because many engineering problem of important mechanical system were solved effectively by using this method.

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