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Free vibration and dynamic stability of rotating thin-walled composite beams
Authors:C. Martín Saravia  Sebastián P. Machado  Víctor H. Cortínez
Affiliation:1. Grupo Análisis de Sistemas Mecánicos, Centro de Investigaciónes en Mecánica Teórica y Aplicada, Universidad Tecnológica Nacional, Facultad Regional Bahía Blanca, 11 de Abril 461, Bahía Blanca B8000LMI, Argentina;2. CONICET, Av. Rivadavia 1917, Buenos Aires C1033AAJ, Argentina;1. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. Departamento de Engenharia Mecanica, Faculdade de Engenharia, Universidade do Porto, Portugal;4. Faculty of Construction, Ho Chi Minh City Open University, Ho Chi Minh City, Viet Nam;5. CIRTECH Institute, Ho Chi Minh City University of Technology (HUTECH), Ho Chi Minh City, Viet Nam;1. Department of Mechanical and Aerospace Engineering, The Ohio State University, Columbus 43210-1142, USA;2. Belcan Corporation, Cincinnati, OH 45242, USA;1. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Department of Mechanics, Tianjin University, Tianjin 300072, China;2. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 100819, China;3. Faculty of Mechanical Engineering, Bialystok University of Technology, Bialystok 15-351, Poland;4. J. Mike Walker ’66 Department of Mechanical Engineering, Texas A&M University, College Station, Texas 77843-3123, USA
Abstract:The dynamic stability behavior of thin-walled rotating composite beams is studied by means of the finite element method. The analysis is based on Bolotin’s work on parametric instability for an axial periodic load. The influence of fiber orientation and rotating speeds on the natural frequencies and the unstable regions is studied for symmetrically balanced laminates. The regions of instability are obtained and expressed in non-dimensional terms. The “modal interchange” phenomenon arising in rotating beams is described. The dynamic stability problem is formulated by means of linearizing a geometrically nonlinear total Lagrangian finite element with seven degrees of freedom per node. This finite element formulation is based on a thin-walled beam theory that takes into account several non-classical effects such as anisotropy, shear flexibility and warping inhibition.
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