【摘 要】
：
There are two kinds of design variables involved in the layout design of multi-component systems: pseudo-density variables associated with the framework structure and location design variables associa
【机 构】
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Engineering Simulation and Aerospace Computing (ESAC) The Key Laboratory of Contemporary Design and
【出 处】
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7th China-Japan-Korea Joint Symposium on Optimization of Str
论文部分内容阅读
There are two kinds of design variables involved in the layout design of multi-component systems: pseudo-density variables associated with the framework structure and location design variables associated with connected components.The sensitivities with respect to the first kind of variables can be easily carried out as in topology optimization, but the semi-analytical method (SAM) is often used for sensitivity analysis with respect to the location design variables.Due to the geometric perturbation of the finite element mesh, the latter can then be regarded as a geometric perturbation model (GPM).In this paper, we propose a material perturbation model (MPM) using fixed finite element (FE) mesh for sensitivity analysis with respect to location design variables.The material discontinuity across the boundary between each component and the framework structure can be smoothed approximately by a modified Heaviside function.When a location design variable of a certain component is perturbed, attached finite elements to the component boundary are assumed to undertake only a shift of material properties while the finite element mesh itself remains geometrically unchanged.As a result, the sensitivity with respect to location design variables can be achieved as easily as for pseudo-density variables.The computing efficiency is thus improved because the velocity field for the mesh perturbation in the semi-analytical scheme is no longer needed.The MPM is illustrated by means of numerical tests, especially the optimization in 3D multi-component systems design.
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