Combinatorics

Finite element method

Topology (electrical circuits)

Mathematics

Design for manufacturability

Structural engineering

Operating system

Statistics

Mathematical optimization

Engineering

Topology optimization

Network topology

Computer science

Mechanical engineering

Heaviside step function

Journal of Mathematics

Topology optimization is a powerful tool having capability of generating new solution to engineering design problems, while these designs enhance manufacturability and reduce manufacturing costs in a computational setting. Mesh-independent convergence and other techniques have been widely used as topology optimization technique, but they produce gray transition regions which is not a favorable condition for any material. In this article, a modified topology optimization formulation using a new function has been proposed. The suggested scheme makes use of the Heaviside Projection Method (HPM) to continuum topology optimization. Such technique is helpful to obtain the minimum length scale influence on void and solid phases. Application of this proposed approach is implemented to obtain the minimum compliance for macrostructures. Numerical remarkable examples illustrate the noteworthy value of the proposed approach.

Improved Efficient Projection Density Function Based on Topology Optimization