NONLINEAR VIBRATION ANALYSIS OF AN EULER-BERNOULLI BEAM RESTING ON A NONLINEAR ELASTIC FOUNDATION UNDER COMPRESSIVE AXIAL FORCE

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MAMANDI A.; KARGARNOVIN M.H.

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Paper Information

Journal: JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING) Year:2013 | Volume:5 | Issue:2 (12) Page(s): 61-71

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Title

NONLINEAR VIBRATION ANALYSIS OF AN EULER-BERNOULLI BEAM RESTING ON A NONLINEAR ELASTIC FOUNDATION UNDER COMPRESSIVE AXIAL FORCE

Author(s)

MAMANDI A. | KARGARNOVIN M.H. | Issue Writer Certificate

Keywords

NONLINEAR VIBRATIONSQ2

EULER-BERNOULLI BEAMQ2

NONLINEAR ELASTIC FOUNDATIONQ2

THE 3: 1Q2

Abstract

This paper studies the nonlinear vibration analysis of a simply supported EULER-BERNOULLI BEAM resting on a NONLINEAR ELASTIC FOUNDATION under compressive axial load using nonlinear normal modes concept in the case of three-to-one (3: 1) internal resonance. The beam’s governing nonlinear PDE of motion and also its boundary conditions are derived and then solved using the method of Multiple Time Scales. Under three to-one-internal resonance condition applying nonlinear normal modes the steady state stability analysis of the beam’s vibrations is performed.Then the effect of changing the value of different parameters on the beam’s dynamic response and the steady state stability analysis is investigated.

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APA: Copy

MAMANDI, A., & KARGARNOVIN, M.H.. (2013). NONLINEAR VIBRATION ANALYSIS OF AN EULER-BERNOULLI BEAM RESTING ON A NONLINEAR ELASTIC FOUNDATION UNDER COMPRESSIVE AXIAL FORCE. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), 5(2 (12)), 61-71. SID. https://sid.ir/paper/171284/en

Vancouver: Copy

MAMANDI A., KARGARNOVIN M.H.. NONLINEAR VIBRATION ANALYSIS OF AN EULER-BERNOULLI BEAM RESTING ON A NONLINEAR ELASTIC FOUNDATION UNDER COMPRESSIVE AXIAL FORCE. JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING)[Internet]. 2013;5(2 (12)):61-71. Available from: https://sid.ir/paper/171284/en

IEEE: Copy

A. MAMANDI, and M.H. KARGARNOVIN, “NONLINEAR VIBRATION ANALYSIS OF AN EULER-BERNOULLI BEAM RESTING ON A NONLINEAR ELASTIC FOUNDATION UNDER COMPRESSIVE AXIAL FORCE,” JOURNAL OF SIMULATION AND ANALYSIS OF NOVEL TECHNOLOGIES IN MECHANICAL ENGINEERING (JOURNAL OF SOLID MECHANICS IN ENGINEERING), vol. 5, no. 2 (12), pp. 61–71, 2013, [Online]. Available: https://sid.ir/paper/171284/en

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