Host: The Japan Society of Mechanical Engineers
Name : [in Japanese]
Date : November 23, 2018 - November 25, 2018
In this paper, a simultaneous optimization method for shape and topology design of shell structures is presented. The compliance is used as the objective functional, and minimized under the volume constraint. The free-form optimization method for shells and SIMP method are employed for shape and topology design. Shape and homogenized-density variations are the design variables, and simultaneously determined in one iteration. This design problem is formulated as distributed-parameter optimization problem, and the shape and density gradient functions are derived based on the variational method, the material derivative method and the adjoint variable method, which are respectively applied to the H1 gradient methods for vector and scalar design variables to determine the optimal shape and topology of shell structures. With the proposed method, the optimal shape and topology is obtained without the shape parameterization while eliminating the numerical instability problems such as a jagged shape, a checkerboarded and a greyscaled topology. A numerical example shows the validity of the proposed method.
