Study On Key Technologies Of Synthetic Algorithm Of Topology And Shape Optimization

This work was supported by Zhejiang Province Natural Sciences Fund Project "Study on Integrated Optimization Algorithm of Topology and Shape Based on Harmonic Wavelet and STEP Data Kernel" under the grant No.Y106847.The topology and shape optimization design technology of continuous structure was adopted as research objective, topology optimization and shape optimization design of continuous structure, boundary smooth disposal technology and so on were mainly discussed in this paper. This paper put forward integrated optimization algorithm of topology and shape based on STEP data kernel; Topology optimization, shape optimization, finite element analysis and computer aided design were integrated effectively in order to build the system of optimization design.Firstly, the basic theory of topology optimization design of continuous structure were introduced in this paper, which includes density variable methods, stress rule and topology optimization algorithm.Secondly, that B-Spline curve and curved surface was used to approach continuum structure boundary after topology optimization was researched, which is the way to do the boundary smoothing. The optimization result which was got by optimization algorithm aimed at continuum structure only reflect the saw-shaped boundary area owning best force-passed path, so the weights,control points,basis function was put forward to design and governs the curve shape freely,in this case, the curved surface can be reconstructed and governed. A new calculation algorithm of boundary smoothing and parametrical was researched, which transform the concept solution that reflects force passing path got by the above optimization process to the parametrical precision solution.Thirdly, the new algorithm of movement velocity field on boundary node was researched, which includes the research of the construction method theory of boundary movement velocity field, calculation method of boundary movement velocity field and boundary shape adjustment, also model updating theory.Fourthly, shape optimization method was researched, which showed the parameter simple disposal of curve and curved surface and boundary parametrical management described parametrically. In the shape optimization, the control point movements of the B-spline curves or surfaces are defined as design variables for shape optimization, and then the calculation method of movement velocity filed of boundary node was constructed to control node movement effectively, corresponding algorithm and calculation expression was got to seek the quick search direction, the shape was reconstructed to the best by the reasonable velocity distribution.Final, the rationality of the model and the effectiveness of the method are illustrated by example.