Exact Solution and Dynamic Buckling Analysis of a Beam-Column System Having the Elliptic Type Loading

H. Secil Artem; Levent Aydin

doi:10.3879/j.issn.1000-0887.2010.10.012

Volume 31 Issue 10

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H. Secil Artem, Levent Aydin. Exact Solution and Dynamic Buckling Analysis of a Beam-Column System Having the Elliptic Type Loading[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1249-1255. doi: 10.3879/j.issn.1000-0887.2010.10.012

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Exact Solution and Dynamic Buckling Analysis of a Beam-Column System Having the Elliptic Type Loading

doi: 10.3879/j.issn.1000-0887.2010.10.012

Department of Mechanical Engineering, Izmir Institute of Technology, Gulbahce Koyu, 35430 Urla-Izmir, Turkey

Received Date: 1900-01-01
Rev Recd Date: 2010-07-08
Publish Date: 2010-10-15

Abstract

Abstract

A closed form solution of the dynamic stability problem of a beam-column system with hinged ends loaded by an axial periodically time varying compressive force of an elliptic type was presented.Solution of the governing equation was obtained in the form of Fourier sine series and the resulting ordinary differential equation was solved analytically.Finding the exact analytical solutions of the dynamic buckling problems were difficult.However, availability of exact solutions provided adequate understanding about the physical characteristics of the system.The frequency-response characteristics of the system, the effects of static load, driving forces and frequency ratio on the critical buckling load were also investigated.
- dynamic buckling,
- exact solution,
- Jacobi elliptic functions,
- stability-instability

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References(8)

References

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