A new transfer matrix method for response analysis of large dynamic systems

Kumar, A. S.; Sankar, T. S.

doi:10.1016/0045-7949(86)90097-0

Cited by 57 publications

(50 citation statements)

References 7 publications

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“…Now, knowing the boundary state vectors completely, the state vectors and hence the motion quantities at each element at time t i can be computed by the repeated use of corresponding transfer equations of element similar to Eq. (8). The velocity, angular velocity, acceleration and angular acceleration quantities at time t i are then obtained using Eq.…”

Section: Solutions Of Multi-rigid-flexible-body System Dynamicsmentioning

confidence: 99%

“…Rui et al developed TMM of linear multibody system (MS-TMM) for vibrations analysis of linear multibody system by developing new transfer matrices and orthogonal property of multibody system [7]. Kumar and Sankar developed discrete time TMM (DT-TMM) for structure dynamics of time variant system by combining the TMM with the numerical integration procedure [8]. Rui et al developed discrete time transfer matrix method of multibody Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space 491 system (MS-DT-TMM) [9,10] to study general multi-rigidbody system dynamics by combining and expanding the TMM and the numerical integration procedure.…”

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confidence: 99%

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Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space

et al. 2012

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In this paper, by defining new state vectors and developing new transfer matrices of various elements moving in space, the discrete time transfer matrix method of multi-rigid-flexible-body system is expanded to study the dynamics of multibody system with flexible beams moving in space. Formulations and numerical example of a rigidflexible-body three pendulums system moving in space are given to validate the method. Using the new method to study the dynamics of multi-rigid-flexible-body system moving in space, the global dynamics equations of system are not needed, the orders of involved matrices of the system are very low and the computational speed is high, irrespective of the size of the system. The new method is simple, straightforward, practical, and provides a powerful tool for multi-rigid-flexible-body system dynamics.

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Section: Solutions Of Multi-rigid-flexible-body System Dynamicsmentioning

confidence: 99%

mentioning

confidence: 99%

Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space

et al. 2012

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“…The step-by-step transfer matrix method [4,5], which combines the standard transfer matrix method [11] and the numerical integration techniques, has the drawback that numerical instabilities often occur when time step is small and there is rigid elastic support at the intermediate part of the structure [5,10]. The finite element-transfer matrix method [6,7] for the dynamic response analysis has the same drawback occurring in the step-by-step transfer matrix method, too.…”

Section: Introductionmentioning

confidence: 95%

“…Therefore, it is difficult to obtain the accurate dynamic response of large and complex structures by both methods on a personal computer. To overcome above-mentioned disadvantages, a variety of methods for the efficient dynamic response analysis are proposed by many researchers [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

et al. 2009

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The authors developed the transfer mass coefficient method (TMCM) in order to compute effectively the dynamic response of a beam structure. In this paper, the algorithm for the dynamic response analysis of a three-dimensional beam structure is formulated. Through the computation results of numerical models, which are plane and space beam structures, obtained by the transfer mass coefficient method and the direct integration method, we verify that the transfer mass coefficient method can remarkably decrease the computation time of the direct integration method without the loss of accuracy in spite of using small computer storage.

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“…The solution should satisfy all the boundary conditions at all boundary points. The disadvantage of this method is that it is difficult, although not impossible (Kumar and Sankar, 1984), to extend to time domain and nonlinear analysis. Therefore, it is difficult to conduct active balancing controller design using the transfer matrix method.…”

Section: Dynamic Modeling and Analysis Of Rotor Systemmentioning

confidence: 99%

Active Balancing and Vibration Control of Rotating Machinery: A Survey

Zhou¹,

Shi²

2001

The Shock and Vibration Digest

189

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Vibration suppression of rotating machinery is an important engineering problem. In this paper, a review of the research work performed in real-time active balancing and active vibration control for rotating machinery as well as the research work in dynamic modeling and analysis techniques of rotor systems are presented. The basic methodology and a brief assessment of major difficulties and future research needs are also given.

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A new transfer matrix method for response analysis of large dynamic systems

Cited by 57 publications

References 7 publications

Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space

Discrete time transfer matrix method for dynamics of multibody system with flexible beams moving in space

Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

Active Balancing and Vibration Control of Rotating Machinery: A Survey

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