In topology optimization, the state of structures is typically obtained by numerically evaluating a discretized PDE-based model. The degrees freedom such model can be partitioned in free and prescribed sets to define boundary conditions. A multi-partition problem involves multiple partitions same discretization, corresponding different loading scenarios. As result, solving problems factorizatio...

Truss systems are widely used in engineering practice, mainly due to the economy, simple manufacturing, transportation and storage. These systems form the framework of such constructions as bridges, towers, roof supporting structures, etc. Usually a truss system includes a large number of elements (trusses), which can have different parameters (length, cross-sectional area, shape of crosssectio...

The Isogeometric Analysis (IA) is utilized for structural topology optimization  considering minimization of weight and local stress constraints. For this purpose, material density of the structure  is  assumed  as  a  continuous  function  throughout  the  design  domain  and approximated using the Non-Uniform Rational B-Spline (NURBS) basis functions. Control points of the density surface are...

Topology optimization searches for an optimal distribution of material and void without any restrictions on the structure of the design geometry. Shape optimization tunes the shape of the geometry, while the topology is fixed. In this paper we proceed sequentially with the optimal topology and shape design so that a coarsely optimized topology is the initial guess for the following shape optimi...

In this paper the piecewise level set method is combined with phase field method to solve the shape and topology optimization problem. First, the optimization problem is formed based on piecewise constant level set method then is updated using the energy term of phase field equations. The resulting diffusion equation which updates the level set function and optimization ...

An integrated truss design methodology based on homogenization-based topology optimization is proposed. After performing continuum topology optimization to obtain the optimal structural configuration, in the case that the percentage usage of the materials is low, the methodology can automatically proceed to the truss optimization based on the model, and achieve the optimum truss structure meeti...

This study introduces applications of structural topology optimization to buildings and civil engineering structures. Topology optimization problems utilize the firmest mathematical basis, to account for improved weight-to-stiffness ratio and perceived aesthetic appeal of specific structural forms, enabling the solid isotropic material with penalization (SIMP) technique. Structural topology opt...

A new algorithm for the solution of multimaterial topology optimization problems is introduced in the present study. The presented method is based on the splitting of a multiphase topology optimization problem into a series of binary phase topology optimization sub-problems which are solved partially, in a sequential manner, using a traditional binary phase topology optimization solver; interna...