Optimal shape of a twisted and compresse
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Valentin B Glavardanov; Teodor M Atanackovic
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Article
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2001
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Elsevier Science
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English
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We formulate and solve the problem of determining the shape of an elastic rod stable against buckling and having minimal volume. The rod is loaded by a concentrated force and a couple at its ends. The equilibrium equations are reduced to a single nonlinear second-order equation. The eigenvalues of t