NUMERICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF POST-BUCKLED BEAM

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JAMSHIDI PEYMAN; MORADI SHAPOUR

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Paper Information

Journal: JOURNAL OF MECHANICAL ENGINEERING AMIRKABIR (AMIRKABIR) Year:2016 | Volume:47 | Issue:2 Page(s): 71-82

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Information Journal Paper

Title

NUMERICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF POST-BUCKLED BEAM

Author(s)

JAMSHIDI PEYMAN | MORADI SHAPOUR | Issue Writer Certificate

Keywords

BEAM VIBRATIONQ2

POST BUCKLINGQ3

DIFFERENTIAL QUADRATURE METHODQ2

EXPERIMENTAL MODAL ANALYSISQ2

Abstract

Vibration analysis of post-buckled beam is investigated in this study. The governing nonlinear equations of motion for the post-buckled state are derived. The solution consists of static and dynamic parts, both leading to nonlinear differential equations. The DIFFERENTIAL QUADRATURE METHOD has been used to solve the problem. First, it is applied to the equilibrium equations, leading to a nonlinear algebraic system of equations that is solved utilizing an arc length strategy. Next, the differential quadrature is applied to the linearized dynamic differential equations of motion and their corresponding boundary and continuity conditions. Upon solution of the resulting eigenvalue problem, the natural frequencies and mode shapes of the beam are extracted. The investigation includes several numerical as well as experimental case studies on the post-buckled simply supported and clamped-clamped beams. The results show that the applied compressive load as well as the geometric imperfection largely affect the modal shapes and natural frequencies of the beam. Moreover, the study demonstrates the excellent accuracy and efficiency that can be obtained by applying the DIFFERENTIAL QUADRATURE METHOD to treat vibration of post-buckled beams.

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APA: Copy

JAMSHIDI, PEYMAN, & MORADI, SHAPOUR. (2016). NUMERICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF POST-BUCKLED BEAM. JOURNAL OF MECHANICAL ENGINEERING AMIRKABIR (AMIRKABIR), 47(2), 71-82. SID. https://sid.ir/paper/165984/en

Vancouver: Copy

JAMSHIDI PEYMAN, MORADI SHAPOUR. NUMERICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF POST-BUCKLED BEAM. JOURNAL OF MECHANICAL ENGINEERING AMIRKABIR (AMIRKABIR)[Internet]. 2016;47(2):71-82. Available from: https://sid.ir/paper/165984/en

IEEE: Copy

PEYMAN JAMSHIDI, and SHAPOUR MORADI, “NUMERICAL AND EXPERIMENTAL FREE VIBRATION ANALYSIS OF POST-BUCKLED BEAM,” JOURNAL OF MECHANICAL ENGINEERING AMIRKABIR (AMIRKABIR), vol. 47, no. 2, pp. 71–82, 2016, [Online]. Available: https://sid.ir/paper/165984/en

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