Structural optimization
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"Structural optimization may be defined in various ways. One definition could be the design and construction of a quality structure at the lowest cost. This definition often turns out to be inappropriate due to both the difficulty of giving a precise definition to cost and the dependence of the cost function on highly variable factors. In common practice the weight or volume of the structure is taken as the objective function. Therefore, in all further developments the objective of structural optimization will be to minimize the weight while maintaining high reliability and rigidity without failure. To ensure that failure will not occur, the stresses in any part of the structure and certain displacements should remain within specified limits. Also, no buckling should occur in any part of the structure, and in many cases the fundamental natural frequency of the structure must be considered, in order to avoid a resonance problem. Judging from this, in order to discuss the theory of structural optimization it is necessary to be able to analyse any structural configuration for these considerations. The finite element method will be used to obtain stresses, displacements, natural frequencies, and any other response quantities."--Introduction.
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