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TECHNICAL PAPERS

A New Method for Nonlinear Two-Point Boundary Value Problems in Solid Mechanics

[+] Author and Article Information
L. S. Ramachandra, D. Roy

Department of Civil Engineering, Indian Institute of Technology, Kharagpur 721 302, India

J. Appl. Mech 68(5), 776-786 (May 17, 2001) (11 pages) doi:10.1115/1.1387444 History: Received July 26, 2000; Revised May 17, 2001
Copyright © 2001 by ASME
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References

Figures

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(a) Tip-loaded cantilever beam showing the coordinate axes (b) Cantilever beam with initial imperfection (c) Simply supported beam showing coordinates axes and initial curvature
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Load displacement curves for a tip-loaded cantilever beam
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Cantilever buckling: P/Pcr versus normalized tip deflection
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Deflected shape of the cantilever column under different levels of axial load
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Imperfect cantilever buckling: P/Pcr versus axial strain for different amplitudes of imperfection
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Imperfect cantilever buckling: P/Pcr versus tip deflection for different amplitudes of imperfection
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Nonlinear buckling of simply supported beam: P/Pcr versus central deflection plot
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Deflected shape of the simply supported column under different levels of axial loads as predicted by the LTL
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Imperfect simply supported column buckling: P/Pcr versus axial strain for different amplitudes of imperfection
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Imperfect simply supported beam buckling: P/Pcr versus central deflection for different amplitudes of imperfection

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