Volume 13, Issue 15 (Third Special Issue 2014)
Modares Mechanical Engineering 2014, 13(15): 1-9 |
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An analytic solution of transversal vibrations and frequency response of quantic non-linear beam. Modares Mechanical Engineering 2014; 13 (15) :1-9
URL: http://mme.modares.ac.ir/article-15-1530-en.html
URL: http://mme.modares.ac.ir/article-15-1530-en.html
Abstract: (7619 Views)
Nonlinear vibrations analysis of beams has its own specific importance in industrial, building and civil engineering applications. To achieve a propr design, the understanding of transverse vibrations of double end jointed beams and their nature frequencies, are very useful. In this paper the transverse vibrations analysis of beams with influence of constant axial load are investigated.the effects of mid-plane stretching and nonlinear damping terms in two case of primary and secondary resonance are also addressed. Multiple time scales method is used to make this contribution. In order to verify the accuracy of this method, the results are compared with the results of four order Runge-Kutta numerical method, which has a good accuracy. Comparison of this method and the homotopy method shoes that the convergence of this method is faster than the homotopy method.
Article Type: Research Article |
Subject:
Vibration|Aerodynamics|Aerospace Structures
Received: 2013/07/28 | Accepted: 2013/09/15 | Published: 2014/02/20
Received: 2013/07/28 | Accepted: 2013/09/15 | Published: 2014/02/20
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