The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation

2011 ◽  
Vol 37 (4) ◽  
pp. 415-425 ◽  
Author(s):  
Baki Ozturk ◽  
Safa Bozkurt Coskun
Keyword(s):  
Free Vibration ◽  
Perturbation Method ◽  
Elastic Foundation ◽  
Vibration Analysis ◽  
Homotopy Perturbation Method ◽  
Free Vibration Analysis ◽  
Homotopy Perturbation ◽  
Beam On Elastic Foundation

scholarly journals Free Vibration Analysis of an Euler Beam of Variable Width on the Winkler Foundation Using Homotopy Perturbation Method

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Utkan Mutman
Keyword(s):  
Perturbation Method ◽  
Elastic Foundation ◽  
Vibration Analysis ◽  
Homotopy Perturbation Method ◽  
Free Vibration Analysis ◽  
Nonlinear Problems ◽  
Variable Stiffness ◽  
Winkler Foundation ◽  
Euler Beam ◽  
Homotopy Perturbation

Homotopy Perturbation Method (HPM) is employed to investigate the vibration of an Euler beam resting on an elastic foundation. The beam is assumed to have variable stiffness along its length. HPM is an easy-to-use and very efficient technique for the solution of linear or nonlinear problems. HPM produces analytical approximate expression which is continuous in the solution domain. This work assures that HPM is a promising method for the vibration analysis of the variable stiffness Euler beams on elastic foundation. Different case problems have been solved by using the technique, and solutions have been compared with those available in the literature.

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