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

Fingerprint

Curved Beam
Transition Matrix
Rotating
Differential equations
Vibration
Boundary conditions
Differential equation
Dynamical systems
Dynamic Systems

All Science Journal Classification (ASJC) codes

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

Cite this

@article{83838cf48c664abeb7c98d72a930c250,
title = "Modified method of semi-analytical transition matrix on the analysis of a coupled vibration system",
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.",
author = "Sen-Yung Lee and Sheu, {Jer Jia} and Lin, {Shueei Muh}",
year = "2014",
month = "9",
day = "14",
doi = "10.1080/15376494.2012.707294",
language = "English",
volume = "21",
pages = "652--661",
journal = "Mechanics of Advanced Materials and Structures",
issn = "1521-0596",
publisher = "Taylor and Francis Ltd.",
number = "8",

}

Modified method of semi-analytical transition matrix on the analysis of a coupled vibration system. / Lee, Sen-Yung; Sheu, Jer Jia; Lin, Shueei Muh.

In: Mechanics of Advanced Materials and Structures, Vol. 21, No. 8, 14.09.2014, p. 652-661.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Modified method of semi-analytical transition matrix on the analysis of a coupled vibration system

AU - Lee, Sen-Yung

AU - Sheu, Jer Jia

AU - Lin, Shueei Muh

PY - 2014/9/14

Y1 - 2014/9/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84899692463&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84899692463&partnerID=8YFLogxK

U2 - 10.1080/15376494.2012.707294

DO - 10.1080/15376494.2012.707294

M3 - Article

VL - 21

SP - 652

EP - 661

JO - Mechanics of Advanced Materials and Structures

JF - Mechanics of Advanced Materials and Structures

SN - 1521-0596

IS - 8

ER -