Optimum Design of Distributed Mass and Stiffness Structural Systems Under Constraints
| Autor: | Rand, R.A., Shen, C.N. |
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| Zdroj: | IFAC-PapersOnLine; January 1977, Vol. 10 Issue: 5 p511-525, 15p |
| Abstrakt: | Shell structures are classic examples of distributed parameter systems. In this paper an approach is developed to obtain the optimum (minimum weight) configuration of a general shell structure subjected to simultaneous frequency and stress constraints. The constrained frequencies are determined by discretizing the shell using a finite-element technique and then minimizing special Rayleigh quotients defined for the finite-element model. The optimum configuration is determined by optimal decision of a vector of material and geometric design parameters using a modified Complex technique. The approach is demonstrated by application to a conical shell of elliptical cross-section subjected to inertial and externally applied loadings. An analytical solution to this problem, obtained using least squares techniques and Lagrange multipliers, is presented for comparison. |
| Databáze: | Supplemental Index |
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