Topology design optimization of conductive thermal problems subject to design-dependent load using density gradients

AIAA 2002–0317 Using Gradients to Construct Cokriging Approximation Models for High-Dimensional Design Optimization Problems

The Kriging method is an interpolation scheme that can be used for modeling deter-ministic computer analyses as the realization of a stochastic process. The technique has been recognized as an alternative to the traditional Response Surface method in generating approximation models of computationally expensive CFD analyses. This is due to its ability to interpolate sample data and to model a fu...

AIAA 2001–0922 Using Gradients to Construct Response Surface Models for High-Dimensional Design Optimization Problems

The response surface method (RSM) is one of the most common techniques for building approximation models using values of sampled data alone. In this work, a method for using both function values and their gradients with respect to the design variables in the problem and construct response surface (RS) models has been developed. This approach improves on the efficiency of using the RSM for high-...

Thermal Design and Optimization of High Torque Density Electric Machines

Stress-Constrained Topology Optimization with Design- Dependent Loading

The purpose of this paper is to apply stress constraints to structural topology optimization problems with design-dependent loading. A comparison of mass-constrained compliance minimization solutions and stress-constrained mass minimization solutions is also provided. Although design-dependent loading has been the subject of previous research, only compliance minimization has been studied. Stre...

Design of Materials with Extreme Thermal Expansion Using a Three-phase Topology Optimization Method

Composites with extremal or unusual thermal expansion coefficients are designed using a three-phase topology optimization method. The composites are made of two different material phases and a void phase. The topology optimization method consists in finding the distribution of material phases that optimizes an objective function (e.g. thermoelastic properties) subject to certain constraints, su...