Jiaxin Zhang, Bo Wang, Fe Niu, Gengdong Cheng
In many load carrying thin shell structures, a connection section is arranged to transfer concentrated external forces to its main section. It is very important for the concentrated external forces to diffuse as uniformly as possible. Nevertheless the traditional design of uniform radial rib is not optimized. The present paper studies an integrated optimization procedure for design optimization of connection section. Variance constraint of node forces at the interface between the main section and connection section is firstly proposed as the evaluation criterion of concentrated force diffusion efficiency and introduced into the topology optimization formulation. Afterwards, for improving the manufacturability of the final design the topology optimization results are interpreted and further optimized by size or shape optimization. Two strategies of interpretation are examined. The first strategy is called strategy of making holes, which inserts a number of internal holes of regular geometric features and smooth boundary with B-spline curves in the continuum based on the topology optimization result. In the second strategy, an initial truss-like design is extracted from the characteristic of topology optimization result. Then a further shape and sizing optimization is followed to obtain the final optimal design. An example of design optimization of plane connection section is presented. The effectiveness of the present approach is demonstrated. The respective advantages and disadvantages of the two strategies are discussed.
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