基于投影的悬垂约束:实现灵敏度分析的有效伴随公式

Reza Behrou, James K. Guest, Andrew T. Gaynor
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引用次数: 3

摘要

本文将最近开发的一种高效悬挑滤波的伴随框架扩展到基于投影的悬挑约束方法。所开发的方法提供了一种快速高效的计算方法,并在优化问题的制定中实现了最小允许的自支撑角度和最小允许的特征尺寸,并设计了无需使用支撑结构即可制造的部件。推导了基于伴随的灵敏度公式,以消除在悬挑约束公式中与直接微分相关的计算强度,这种计算强度在大规模的二维和三维问题中变得令人望而却步。通过对结构问题的验证和数值算例验证了所提方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Projection-Based Overhang Constraints: Implementing an Efficient Adjoint Formulation for Sensitivity Analysis
This paper extends a recently developed adjoint framework for an efficient overhang filtering to projection-based methods for overhang constraints. The developed approach offers a fast and efficient computational methodology and enables a minimum allowable self-supporting angle and a minimum allowable feature size within the formulation of the optimization problem, and designs components that can be manufactured without using support structures. The adjoint-based sensitivity formulation are derived to eliminate the computational intensities associated with the direct differentiation in the formulation of overhang constraints, which become prohibitive in large scale 2D and 3D problems. The developed formulation is tested on structural problems and numerical examples are provided to present efficiency of the proposed methodology.
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