Transfer matrix method for multibody systems (Rui method) and its applications

Rui, Xiaoting; Wang, Xun; Zhou, Qinbo; Zhang, Jianshu

doi:10.1007/s11431-018-9425-x

Cited by 61 publications

(50 citation statements)

References 19 publications

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“…TMM can achieve similar accuracy to FEM on the modal calculation of the rotating body. Many researchers have studied the rotor modal analysis using the traditional TMM or made some modifications [10][11][12][13][14][15]. Also, the combination of FEM and TMM can achieve a better result.…”

Section: Introductionmentioning

confidence: 99%

A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump

Zhang

Tang

Tong

2022

Shock and Vibration

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An accurate modal analysis of the stepped rotor assembly is significant in the design process of rotors. The transfer matrix method (TMM) is widely used in the modal analysis of the rotor. However, the influences of the step and the assembling modes are not considered in the traditional TMM. In this paper, a modified transfer matrix method is presented for the modal calculation of the rotor in the turbomolecular pump. The stiffness reduction of stepped segments and the effect of assembled components are considered in this modified method. First of all, the traditional transfer matrix model is built. Then, the stepped segments of the rotor are changed into conical segments and the lumped mass model of conical segments is calculated. Next, the conicities of conical segments are analyzed and relations between conicities and dimensions of the rotor are discovered. Finally, the stiffness factors which can describe the effects of different assembling modes are introduced and optimized. The optimized stiffness factors are analyzed and explained from the perspective of contact stress. The modal of the stepped rotor assembly could be computed with high accuracy by using this method.

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Section: Introductionmentioning

confidence: 99%

A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump

Zhang

Tang

Tong

2022

Shock and Vibration

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“…The purpose of this article is to extend the application of the transfer matrix method for multibody systems (MSTMMs) in a pipeline system structure design. Professor Rui (Rui et al, 2016, 2018, 2019) transferred the concept of state vectors (SVs) into the classical transfer matrix method and built up a new multibody dynamics method called the MSTMM or Rui Method. It is one of the sophisticated methods that can be used efficiently to model large systems and accurately calculate its vibration characteristics and dynamic responses (Abbas et al, 2013a; 2013b, 2015; Abbas et al, 2015; Chen et al, 2017; Wang et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Vibration study of a composite pipeline supported on elastic foundation using a transfer matrix method

Chen

Yang

Guo

et al. 2021

Journal of Vibration and Control

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Efficient and accurate simulation of the vibration characteristics of a composite pipeline system is the key to the study of the stability and vibration control of the pipeline system. A simulation method called transfer matrix method for multibody systems is used to predict the vibration of a composite pipeline resting on an elastic soil. The transfer matrix of the Euler–Bernoulli beams considering the internal fluid velocity and high-efficiency dynamics model of the pipeline system under the action of the elastic foundation are derived. The simulation results have good agreement with that of the literature and commercial software ANSYS Workbench which verified the accuracy of the numerical model. The simulation results show that with the increase of the velocity, the natural frequencies of each mode of the pipeline decrease continuously. When the first frequency is zero, the pipeline buckling occurs and the velocity reaches the critical velocity; the elastic coefficient and shear coefficient in the foundation coefficient are positively related to the stability of the pipeline system. The damping coefficient is negatively related to pipeline stability.

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“…However, it is not efficient for the vibration characteristics of the MRFS or for the dynamics of the general MRFS with time-variant, nonlinear, large-motion characteristics. In recent decades, the transfer matrix method for multibody systems (MSTMM) was proposed Rui et al (2018) with the following advantages: no need of global dynamics equations of the system, low order of system matrices, and fast dynamics computation speed (Rui et al, 2019). The overall transfer matrix can be deduced automatically using the transfer matrices of elements with the standard form according to a topology figure of system, thus this method also has high programming.…”

Section: Introductionmentioning

confidence: 99%

Dynamics modeling, simulation, and optimization of vibration characteristics of the tracked vehicle system

Miao

Wang

Rui

2020

Journal of Vibration and Control

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In this study, the transfer matrix method for multibody systems is used to study the vibration characteristics of a tracked vehicle system. The transfer matrix method has the advantages of not needing the global dynamics equations of the system, low order of system matrices, and fast dynamics computation speed. According to the solution process of vibration characteristics, a detailed dynamics model considering the rigid–flexible coupling effect is developed to describe the structural relationship of the tracked vehicle system. Then, a topology figure for representing the transfer direction of the dynamics model is proposed to derive the overall transfer equation of the system. Dynamics equations governing the motion of the system and rocket are given. Next, through comparisons of the simulation and relevant experiments, the validity and correctness of the proposed method are verified. Based on this, the coupling dynamics responses of the system with different firing orders and firing intervals are simulated and analyzed, which shows that the firing order and interval have great influences on the vibration of the system. In this case, with the adaptive genetic algorithm, a multivariable optimization method is proposed. The optimization results show that the vibration is greatly reduced by using the optimized scheme.

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Transfer matrix method for multibody systems (Rui method) and its applications

Cited by 61 publications

References 19 publications

A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump

A Modified Transfer Matrix Method for Modal Analysis of Stepped Rotor Assembly Applied in the Turbomolecular Pump

Vibration study of a composite pipeline supported on elastic foundation using a transfer matrix method

Dynamics modeling, simulation, and optimization of vibration characteristics of the tracked vehicle system

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