Abstract The differential-geometric structure of the manifold smooth shapes is applied to theory shape optimization problems. In particular, a Riemannian gradient with respect first Sobolev metric and Steklov–Poincaré are defined. Moreover, covariant derivative associated deduced in this paper. explicit expression leads definition Hessian metric. paper, we give brief overview various techniques...

many shape and topology optimization methods have been inspired from the nature. in this paper, two different optimization algorithms based on the adaptive biological growth (abg) have been applied to some structural elements. the first algorithm is developed for the shape optimization and is applied to a plate with a central hole as well as a fillet plate. the second algorithm is the soft kill...

Sheet metal forming problems are typical in nature since they involve geometry, boundary and material non-linearity. Cup drawings involves many parameters like punch and die radius, clearance, lubrication, blank holding force and its trajectories etc. So designing the tools for cup drawing involves a lot of trial and error procedure. To reduce number of costly trial error steps, the process can...

Optimization techniques can be efficiently utilized to achieve an optimal shape for arch dams. This optimal design can consider the conditions of the economy and safety simultaneously. The main aim is to present an applicable and practical model and suggest an algorithm for optimization of concrete arch dams to enhance their seismic performance. To achieve this purpose, a preliminary optimizati...

This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...

During the material removal stage in stone rough processing, milling type has been widely explored, which, however, may cause time and consumption, as well substantial stress for environment. To improve rate waste reuse processing three-dimensional products with a special shape, this paper, circular saw disc cutting is explored to cut convex polyhedron out of blank box, which approaches target ...