Modified Method of Semi-Analytical Transition Matrix on the Analysis of a Coupled Vibration System

作者：Lee Sen Yung; Sheu Jer Jia; Lin Shueei Muh^*

来源：Mechanics of Advanced Materials and Structures, 2014, 21(8): 652-661.

DOI：10.1080/15376494.2012.707294

• method of modified semi-analytical transition matrix
• rotating divergent instability
• vibration
• bending-extensional
• rotating curved beam

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.

• 出版日期2014-9-14