针对工业制品仿真-优化与数字加工难于“无缝”融合、产品制造精度损失等问题，开展基于复杂剪裁模型（CAD）的仿真分析（CAE）/结构拓扑与性能优化（OPT）关键力学算法研究，提出可处理B-rep实体几何模型的精确几何浸入方法、直接在B-rep表面上施加Dirichlet边界条件的方法，克服等几何分析技术商业化时面临的剪裁CAD模型前后处理、求解计算中的“瓶颈”问题；发展自动生成适合数字加工CAD模型的等几何拓扑优化算法，从根本上解决优化结果中的“锯齿”结构，克服产品制造精度损失，实现与数字加工“无缝”集成。针对国产CAE软件市场现状，在已有工作基础上研发等几何分析软件云部署架构，通过按件/按时间等更小“粒度”的收费方式，挖掘中小企业市场，实现同国外软件差异化竞争。最终形成自主产权的造型/仿真/优化“无缝”集成的三维实体及壳固耦合结构的线弹性仿真分析、结构拓扑优化软件平台。

Aiming at the difficulty of "seamless" integration and the loss of product manufacturing precision in simulation-optimization and digital processing of industrial products, some key mechanical algorithms based on complex trimmed model (CAD) for simulation analysis (CAE) / structure topology and performance optimization (OPT) are developed. The exact geometric immersion method that can deal with B-rep solid geometry model and the method of directly applying Dirichlet boundary condition on B-rep surface are proposed to overcome the "bottleneck" problem in the pre- and post-processing and calculation of the trimmed CAD model facing the commercialization of the isogeometric analysis technology. The development of isogeometric topology optimization algorithm, which can automatically generate CAD models suitable for digital processing to fundamentally solve the “sawtooth” structure in the optimization results, overcome the loss of manufacturing precision, and achieve “seamless” integration with digital processing. In view of the current situation of the domestic CAE software market, we develop and deploy the isogeometric analysis software cloud deployment framework based on existing work, and excavate the small and medium-sized enterprise market and achieve differentiated competition with foreign software through the way of "smaller size" charging based on parts / time / etc. The ultimate goal is to form a linear elastic simulation analysis and structural topology optimization software platform with independent property rights, suitable for modeling/simulation/optimization of “seamless” integrated 3D solids and shell-structure coupling structures.