Minimum-weight design of hollow cylinders for given lower bounds on torsional and flexural rigidities |
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| Authors: | RD Parbery BL Karihaloo |
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| Institution: | Department of Mechanical Engineering, University of Newcastle, N.S.W. 2308, Australia;Department of Civil Engineering, University of Newcastle, N.S.W. 2308, Australia |
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| Abstract: | An approximate analytical solution is obtained for the problem of minimizing the cross-sectional area of elastic, doubly-connected cylindrical bars for given lower bounds on torsional and flexural rigidities. The bars are designed to withstand either a twisting or a bending moment, but not both, at any given time. The shape of the inner contour of the doubly-connected (hollow) cross-section is specified while that of the outer contour is determined as a result of the optimization. The economy achieved by optimization is estimated. |
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