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Differential Quadrature Discrete Time Transfer Matrix Method for Vibration Mechanics

[+] Author Affiliations
Bin He, Jin Long

Nanjing Tech University, Nanjing, China

Paper No. DETC2018-85354, pp. V006T09A052; 8 pages
doi:10.1115/DETC2018-85354
From:
  • ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 14th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Quebec City, Quebec, Canada, August 26–29, 2018
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5183-8
  • Copyright © 2018 by ASME

abstract

Transfer matrix method is a practical technology for vibration analysis of engineering mechanics. In this paper, Differential Quadrature Discrete Time–Transfer Matrix Method (DQ-DT-TMM) is presented for solving vibration mechanics. Firstly ordinary differential equations of the sub-structure or the element of the mechanical system are determined by classical mechanics rule and transformed as a set of algebraic equations at some discrete time points by the application of differential quadrature method. Then by extending the state vector of transfer matrix method, new transfer equations and transfer matrices of the sub-structures of the mechanical system are developed. The Riccati transform can be used to improve the computational convergence of the method. Several numerical examples show the proposed method can be regarded as an efficient tool for transient response analysis of vibration system.

Copyright © 2018 by ASME
Topics: Vibration

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