Abstract
In this paper, we present a shape optimization method with pyramid shape basis vectors for creating beads on shell structures. The volume is set as the objective function, and is minimized under multiple behavioral constraints involving compliance, maximum von Mises stress, elastic bucking load and natural frequency. The pyramid shape basis vectors are created using the small lattice domains so as to express the local shape variation in the normal direction on the surface. The morphing technique is employed to vary the domain consisting of the several finite elements. The global shape involving the local embossments is determined by this method. This method is applied to a cylindrical roof problem. The results for a cylindrical roof problem show the validity of this method for creating optimal beads on shell structures.
