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Effect of flexible joints on the stability and large deflections of a triangular frame

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Summary

An isosceles triangular frame with rotationally resistive joints under a tip load is studied. The large in-plane deformation elastica equations are formulated. A stability analysis shows that the frame can buckle symmetrically or asymmetrically. The post-buckling behavior showing limit load and hysteresis are obtained by shooting and homotopy numerical algorithms. The behavior of a frame with rigid joints is studied in detail. The effects of joint spring constant and base length are found.

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Authors and Affiliations

  1. Computer Science Department, Winthrop University, Rock Hill, SC, 29733, U.S.A.

    W. I. Thacker

  2. Departments of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, MI, U.S.A.

    C. Y. Wang

  3. Departments of Computer Science and Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA, U.S.A.

    L. T. Watson

Authors
  1. W. I. Thacker
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  2. C. Y. Wang
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  3. L. T. Watson
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Correspondence to W. I. Thacker.

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Thacker, W.I., Wang, C.Y. & Watson, L.T. Effect of flexible joints on the stability and large deflections of a triangular frame. Acta Mech 200, 11–24 (2008). https://doi.org/10.1007/s00707-007-0574-1

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  • DOI: https://doi.org/10.1007/s00707-007-0574-1

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