Optimizing parameterized CAD geometries using sensitivities based on adjoint functions

Optimizing parameterized CAD geometries using sensitivities based on adjoint functions
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使用基于伴随函数的灵敏度优化参数化 CAD 几何形状

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
T. Grahs
T. Grahs
中科院分区:
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文献类型:
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作者:
T. Robinson;C. Armstrong;H. Chua;Carsten Othmer;T. Grahs

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摘要提出了一种方法,用于确定 CAD 模型中定义特征的哪些参数需要修改以及修改量,以优化组件性能。它使用为参数计算的灵敏度来确定每个参数所需的更改以优化组件。参数灵敏度是通过结合参数扰动引起的边界运动测量(称为设计速度)和边界上的伴随灵敏度图来计算的。灵敏度图是伴随分析的结果,近似于由于边界移动而导致的目标函数(性能)的变化。基于参数敏感性使用基于梯度的优化。与其他方法相比,该方法的计算成本显着降低,并且具有优化基于定义 CAD 模型的参数的优点,允许将其集成到设计工作流程中。该方法的效率允许...中的所有参数。
AbstractAn approach is presented for determining which parameters defining the features in a CAD model need to be modified, and by what amount, to optimize component performance. It uses sensitivities computed for the parameters to determine the change required in each to optimize the component. Parametric sensitivity is computed by combining a measure of boundary movement due to a parameter perturbation, known as design velocity, and an adjoint sensitivity map over the boundary. The sensitivity map results from an adjoint analysis and approximates the change in objective function (performance) due to a movement of the boundary. Gradient based optimization is used based on the parametric sensitivities.This presented method is significantly less computationally expensive than alternative approaches, and has the advantage that optimization is based on the parameters defining the CAD model, allowing it to be integrated into design workflows. The efficiency of the approach allows all of the parameters in the ...