Modified method of semi-analytical transition matrix on the analysis of a coupled vibration system

Sen-Yung Lee, Jer Jia Sheu, Shueei Muh Lin

Research output: Contribution to journalArticle

Abstract

The coupled bending-extensional in-plane vibration of a rotating curved beam is considered. The dynamic system is governed by two coupled differential equations and six boundary conditions. The conventional method of transition matrix is usually used to solve the system composed of one nth order differential equation and n boundary conditions. In this study, the system of a rotating curved beam is different from that of the conventional one. The modified method of a semi-analytical transition matrix is developed to study this system. Finally, several physical observations about the rotating curved beam are manifested.

Original languageEnglish
Pages (from-to)652-661
Number of pages10
JournalMechanics of Advanced Materials and Structures
Volume21
Issue number8
DOIs
Publication statusPublished - 2014 Sep 14

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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