Analysis of large amplitude free vibrations of unsymmetrically laminated composite beams on a nonlinear elastic foundation

2011 ◽  
Vol 219 (1-2) ◽  
pp. 65-75 ◽  
Author(s):  
R. A. Jafari-Talookolaei ◽  
H. Salarieh ◽  
M. H. Kargarnovin
Keyword(s):  
Elastic Foundation ◽  
Large Amplitude ◽  
Laminated Composite ◽  
Composite Beams ◽  
Free Vibrations ◽  
Nonlinear Elastic Foundation ◽  
Nonlinear Elastic ◽  
Laminated Composite Beams

Large Amplitude Thermo-Mechanical Vibration Analysis of Asymmetrically Laminated Composite Beams

2011 ◽  
Vol 471-472 ◽  
pp. 745-750 ◽  
Author(s):  
Ali Fallah ◽  
Hamid Shahsavari Alavijeh ◽  
Abdoreza Pasharavesh ◽  
Mohammad Mohammadi Aghdam
Keyword(s):  
Large Amplitude ◽  
Vibration Analysis ◽  
Thermal Loading ◽  
Closed Form Solution ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Beams ◽  
Form Solution ◽  
Simple Analytical Expression ◽  
Laminated Composite Beams

In this paper, simple analytical expression is presented for large amplitude thermo-mechanical free vibration analysis of asymmetrically laminated composite beams. Euler-Bernoulli assumptions together with Von Karman's strain-displacement relation are employed to derive the nonlinear governing partial differential equation (PDE) of motion. He's variational method is employed to obtain a simple and efficient approximate closed form solution of the nonlinear governing equation. Comparison between results of the present work and those available in literature shows the accuracy of presented technique. Some new results for the nonlinear natural frequencies of the laminated beams such as the effect of vibration amplitude, lay-up configuration and thermal loading are presented for future references.

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