A Global Heat Compliance Measure Based Topology Optimization for the Transient Heat Conduction Problem

Abstract

For topology optimization with transient loads, heat compliance varies with transient heat analysis. The peak value of the transient heat compliance should be minimized. Thus, this article proposes a global heat compliance measure to handle this kind of topology optimization for the transient heat conduction problem. The optimization model is then constructed by the global heat compliance measure. The finite-element, equivalent static loads, and continuum shape based sensitivity analyses are derived using the adjoint variable method. Through case studies, the effectiveness of the proposed global heat compliance measure for the transient heat conduction topology optimization is validated.

Notes

Abbreviations: Mean HC, mean heat compliance of the convergence solution; N, the convergent steps; Opt time, optimization time including the sensitivity analysis time and variable updating time; SA method, sensitivity analysis method; α, constant for optimization in Eq. (7); Max THC, the maximal transient heat compliance.

Abbreviations: Mean HC, mean heat compliance of convergence solution; N, the convergent steps; Opt time, optimization time including the sensitivity analysis time and variable updating time; SA method, sensitivity analysis method; α, constant for optimization in Eq. (7); Max THC, the maximal transient heat compliance.

This research work is supported in part by the National Basic Research Program of China (2013CB035804) and the National Natural Science Foundation of China )U1201244(.

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