报告题目:面向复杂薄壳结构的T样条等几何拓扑优化设计研究
报告摘要:Recently, the non-uniform rational B-splines(NURBS)have been considerably employed in modeling plate and shell structures, or developing the related size, shape or topology optimization methods for their design. However, the NURBS with the tensor product feature strongly hinders the effectiveness of the optimization on complex structures. The primary intention of the current research is to propose a new T-splines-oriented lsogeometric Topology Optimization(T-lTO)method and then address the critical design problem of plate and shell structures with arbitrary shapes in practical applications. Firstly, the Bézier extraction is utilized in the T-splines to map the geometrical model into a family of Bézier elements, each of which is presented by a local Density Distribution Function (DDF) for elementary topology. A global DDF is constructed by an assembly of all local DDFs with a natural connection to the present structural topology. Secondly, the T-splines-based lsoGeometric Analysis(T-lGA) formulation with the Bézier extraction for complex plate and shell structures is developed using the Kirchhoff-Love theory, where a universal numerical implementation framework is constructed, including the Rhino, MATLAB, export modules with all geometric information and import modules for the analysis. Thirdly, a mathematical formulation for plate and shell structures with arbitrary geometries is developed using the T-lTO method to improve structural loading capability, and the sensitivity analysis with respect to design variables is rigorously derived in detail. Finally, several numerical examples of plate and shell structures with both regular and elaborate geometries are tested to demonstrate the validity, effectiveness, superioritiesand indispensability of the T-lTO method.
个人简介:高杰,入选中国科协青年托举工程、湖北省高层次人才BR计划、武汉市英才与华中学者。主要从事复杂装备高性能轻量化设计研究。出版英文学术专著1部【第一作者】,发表国内外高水平知名期刊论文40余篇,其中一作20余篇,如Mater.Sci.Eng.R-Rep.(lF:31)、ComputMeth.、Appl. Mech.Eng等;获评《机械工程学报》第六届高影响力论文奖,谷歌学术引用近2000余次;担任《机械工程学报(英文版)》与《宇航学报(英文版)》青年编委。主持国自科面上基金、青年基金等多个项目。