Dynamic modeling of flexible four-bar systems

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Abstract

This paper presents a new approach to characterize the dynamic behavior of rotating four-bar systems made of flexible members. In this approach, the system equations of motion is derived based on a modified constrained Lagrange formulation. The finite element procedure is employed to solve system equations where all displacements are prescribed in the local coordinate system as opposed to the global coordinate system. In the formulation, both of the gyroscopic and rotary inertia of elastic links are considered. The inertia terms are presented in terms of three elemental mass matrices. The proposed approach eliminates the need to transform element matrices from the local to the global coordinate systems. The physical constraints of pin joints and the assembly in finite element models are detailed. Several numerical simulations are presented to show the efficiency and accuracy of the proposed method. The result indicates that the proposed method is capable of characterizing the dynamic responses of flexible four-bar systems rotating at various speeds with high efficiency and accuracy.

Original languageEnglish
Pages (from-to)31-42
Number of pages12
JournalJournal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume18
Issue number1
Publication statusPublished - 1997 Feb 1

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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