Applications of Topology Optimization

Introduction

In its simplest form, the topology optimization method solves the problem of distributing a given amount of material in a design domain subject to load and support conditions, such that the stiffness of the structure is maximized. Since its introduction by Bendsøe and Kikuchi (1988), the method has gained widespread popularity in academia and industry and is now being applied to the design of automotive and airplane structures as well as in materials, mechanism and MicroElectroMechanical Systems (MEMS) design.

The application of the topology optimization method in various fields of engineering may significantly improve design cost and quality which is important in global competition. We would like to spread the concept and ideas of topology optimization among designers and students, allowing them to try the topology optimization approach on their own specific problems.

Our goal here is to demonstrate the application of topology optimization technique to various types of engineering problems which were developed by TopOpt group. Among them you will find

Classical compliance minimization problems

Minimum compliance design

Compliance minimization

Topology optimized MEMS
(MicroElectroMechanical Structures)

Here you can try to design your own mechanism

MEMS 
Two-dimensional 2DOF electro-thermal actuator 3D

Optimization of 3D structures.

Try our 3D compliance optimization program

3D 
Animation of negative thermal expansion material
Sigmund and Torquato (1996)
(click on image for larger version).
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Animation of negative Poisson's ratio material
Larsen, Sigmund and Bouwstra (1997)
(click on image for larger version).
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Topology optimization with respect to resonant dynamics. Resonator