Nonlinear Vibration Analysis of the Beam Carrying a Moving Mass Using Modified Homotopy

Journal of Solid Mechanics

مقاله 5، دوره 6، شماره 4، اسفند 2014، صفحه 389-396   

نوع مقاله: Research Paper

نویسندگان

M Poorjamshidian¹؛ J Sheikhi²؛ S Mahjoub-Moghadas^{* 1}؛ M Nakhaie¹

¹Department of Mechanical Engineering, Imam Hossein University

²Civil Engineering, Imam Hossein University

چکیده

In the present study, the analysis of nonlinear vibration for a simply-supported flexible beam with a constant velocity carrying a moving mass is studied. The amplitude of vibration assumed high and its deformation rate is assumed slow. Due to the high amplitude of vibrations, stretching is created in mid-plane, resulting in, the nonlinear strain-displacement relations is obtained, Thus, Nonlinear terms governing the vibrations equation  is revealed. Modified homotopy equation is employed for solving the motion equations. The results shown that this method has high accuracy. In the following, analytical expressions for nonlinear natural frequencies of the beams have been achieved. Parametric studies indicated that, due to increasing of the velocity concentrated mass, the nonlinear vibration frequency is reduced. On the other hand, whatever the mass moves into the middle of beam, beam frequency decreases.                                                                    

کلیدواژه‌ها

Non-linear vibration؛ Modified homotopy؛ Concentrated mass

مراجع

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