基于梯度矢量流的柔顺机构拓扑图轮廓提取方法

A Topological Contour Extraction Approach for Compliant Mechanisms Based on the Griadient Vector Flow

提出一种基于梯度矢量流模型的柔顺机构拓扑图的轮廓提取方法。该方法首先通过密度再分配求出单元节点密度,然后,利用差分方法计算出单元节点密度的梯度,之后,相继求出节点的外能、传统外力和梯度矢量流。在模型演化过程中,利用双线性插值算法求出任意点的GVF,同时,针对拓扑图的孔所处的不同位置,给出了不同的初始模型及相应的模型演化方法,实现了柔顺机构拓扑图轮廓的自动提取。最后,数值算例表明了文中算法的可行性。

Based on the griadient vector flow, a topological contour extraction approach for compliant mechansimsis proposed. Firstly, element node densities are computed by a density redistribution. Then, the grads of node densities are obtained by the difference method. Subsequently, the external energy and tridi- tional enternal force and griadient vector flow. During the evolving process of the model, bilinear interpola- tion is used to calculate the griadient vector flow of a random point, Aiming to different position of holes in the topology, different initialization and evolving methods for the model are developed, So automation con- tour extraction for the topologies of compliant mechanisms is realized. At last, numerical examples are used to confirm the feasibiligy of the proposed approach.