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On the optimal structural design for a nonconservative, elastic stability problem

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Abstract

The design of a cantilever column under a follower load is considered with the aim of maximizing the critical value of the load. The optimality condition is derived, and a modified Ritz method is used to determine an approximate solution for the bending stiffness. Results are obtained numerically for the case of a sandwich column with constant bending stiffness in each of two segments. It is found that, for the same structural weight, the optimal design yields a critical load significantly higher than that for a uniform column.

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Authors and Affiliations

  1. Brown University, Providence, Rhode Island

    Raymond H. Plaut (Assistant Professor of Applied Mathematics and Engineering (Research)

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  1. Raymond H. Plaut
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Communicated by W. Prager

This research was supported in part by the US Army Research Office–Durham and in part by the United States Navy under Grant No. NONR N00014-67-A-0191-0009.

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Plaut, R.H. On the optimal structural design for a nonconservative, elastic stability problem. J Optim Theory Appl 7, 52–60 (1971). https://doi.org/10.1007/BF00933592

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  • DOI: https://doi.org/10.1007/BF00933592

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