Investigation on Free Vibration of Buckled Beams

Ming Hsu Tsai; Wen Yi  Lin; Kuo Mo Hsiao; Fu Mio Fujii

doi:10.4028/www.scientific.net/AMR.433-440.41

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 433-440Investigation on Free Vibration of Buckled Beams

Investigation on Free Vibration of Buckled Beams

Abstract:

The objective of this study is to investigate the deformed configuration and free vibration around the deformed configuration of clamped buckled beams by co-rotational finite element formulation. The principle of virtual work, d'Alembert principle and the consistent second order linearization of the nonlinear beam theory are used to derive the element equations in current element coordinates. The governing equations for linear vibration are obtained by the first order Taylor series expansion of the equation of motion at the static equilibrium position of the buckled beam. Numerical examples are studied to investigate the natural frequencies of clamped buckled beams with different slenderness ratios under different axial compression.

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Periodical:

Advanced Materials Research (Volumes 433-440)

Pages:

41-44

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.433-440.41

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Online since:

January 2012

Authors:

Ming Hsu Tsai, Wen Yi Lin, Kuo Mo Hsiao, Fu Mio Fujii

Keywords:

Buckled Beam, Co-Rotational Formulation, Finite Element Method (FEM), Vibration

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