ON THE NATURAL FREQUENCIES,COMPLEX MODE FUNCTIONS,AND CRITICAL SPEEDS OF AXIALLY TRAVELING LAMINATED BEAMS：PARAMETRIC STUDY

• Published in: Acta mechanica solida Sinica Vol. 24; no. 4; pp. 373 - 382
• Main Author: Ghayesh, Mergen H.
• Format: Journal Article
• Language: English
• Published: Singapore Elsevier Ltd 01.08.2011; Springer Singapore; Department of Mechanical Engineering, McGill University, Montreal, Quebec, Canada H3A 2K6
• Subjects: Classical Mechanics; Composite beams; critical speeds; Dynamic response; Dynamical systems; Dynamics; Engineering; Equations of motion; gyroscopic systems; Mathematical analysis; Resonant frequency; Surfaces and Interfaces; Theoretical and Applied Mechanics; Thin Films; Vibration; 临界速度; 复合系统; 层合梁; 旅行; 自然频率; 解析表达式; 轴向; 运动方程; critical speeds; vibration; gyroscopic systems
• ISSN: 0894-9166; 1860-2134
• DOI: 10.1016/S0894-9166(11)60038-4

The dynamic response of an axially traveling laminated composite beam is investigated analytically,with special consideration to natural frequencies,complex mode functions and critical speeds of the system.The equation of motion for a symmetrically laminated system,which is in the form of a continuous gyroscopic system,is considered;the equation of motion is not discretized — no spatial mode function is assumed.This leads to analytical expressions for the complex mode functions and critical speeds.A parametric study has been conducted in order to highlight the effects of system parameters on the above-mentioned vibration characteristics of the system.