By Kyung K. Choi, Nam-Ho Kim
Huge numerical equipment for computing layout sensitivity are incorporated within the textual content for functional software and software program development. The numerical process permits integration of CAD-FEA-DSA software program instruments, in order that layout optimization might be conducted utilizing CAD geometric versions rather than FEA models. This potential permits integration of CAD-CAE-CAM in order that optimized designs may be synthetic successfully.
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Extra resources for Structural Sensitivity Analysis and Optimization 1
1 Methods of Structural Design Sensitivity Analysis Various methods employed in design sensitivity analysis are listed in Fig. 13. Three approaches are used to obtain the design sensitivity: the approximation, discrete, and continuum approaches. In the approximation approach, design sensitivity is obtained by either the forward finite difference or the central finite difference method. In the discrete method, design sensitivity is obtained by taking design derivatives of the discrete governing equation.
However, computing second-order sensitivity results in quite large computational costs. Thus, the design engineer has to decide between computational cost and the optimization algorithm’s efficiency. 7 Design Optimization The purpose of many structural design problems is to find the best design among many possible candidates. For this reason, the design engineer has to specify the best possible design as well as the best possible candidates. 2, a possible candidate must exist within a feasible design region to satisfy problem constraints.
19). 31) and load vector f is independent of the design, that is, df/du = 0. 29) for each design variable. 30), then its explicit expression would be ª0º «0», « » ¬« 0 ¼» F b1 ª 0 º « 0 », « » ¬« 3 1 ¼» F b2 F b3 ª 1 º « 1 » . 32) Since the right side, corresponding to the first design variable, vanishes, the sensitivity of displacement with respect to b1 also vanishes. 21). 3. Cantilever Beam (Discrete Method). Consider the cantilever beam in Fig. 15 with point load p at x = l. If one finite element is used to discretize the structure, as shown in Fig.