Concurrent Thickness and Material Optimization
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There is a gap in the literature for an algorithm capable of concurrent thickness and material optimization (CTMO), utilizing fully analytical sensitivities with prevention of coincident material layers. Such a method is required for the efficient optimization of multi-material, non-laminate shell structures. The algorithm is developed with an adaptive penalization scheme, user selected thickness limits, and two candidate materials; all through a compliance minimization problem statement, subject to a mass fraction constraint. The proposed method is gradient-based, relying upon the method of moving asymptotes (MMA) for optimization and solid isotropic material with penalization (SIMP) for interpolation. Solver behavior is studied with five case studies, three academic and two industry-based. Thorough design sweeps of maximum and minimum allowable thickness, at multiple mass constraints, are conducted for the academic models. Further, select results are shown to illustrate solver behavior for thickness and material distributions. Design studies are performed for the two complex models; an automotive hood and an airplane wing. These design studies culminate in a series of design procedure learnings. To verify the feasibility of the tool within industry projects, two design interpretation analyses are performed on the airplane wing. One simple, the other with full joint design. Overall results show excellent behavior across academic models and useful results for the complex models. The design interpretation study verifies that such an algorithm could be used effectively in industry application.
URI for this recordhttp://hdl.handle.net/1974/28703
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