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Structural Topology Optimization |
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Structural optimization is a free-form design and
optimization of mechanical structures. It is a non-traditional approach for
topology optimization of a solid structure. The idea is to define an optimal
structure without using prescribed geometric form. The key problem is to
optimally distribute materials to satisfy the functional requirements and
constraints. With the solid free-form approach, these functions are fulfilled
with distributed compliance, inertia, and even multiple materials. This project
attempts to develop meso- or micro- components and systems with multiple
materials and in multiple physics domain. In our project we have developed a new technique based on level-set methods. The level set model allows for an implicit boundary shape representation with changes in topology. The models eliminate the conventional use of discrete elements and provides efficient and stable computation schemes. The level set based optimization techniques developed in this project form a common base for structural optimization using mathematical programming. |
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| Homoginization Based Method |
Level Set Based Method |
Bridge-Type Structure |
 (Click for a movie show) |
(Click for a movie show) |
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| MBB Beam | Two-Bar Structure | |
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Multi-Material Structures |
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Topology Optimization for Design-Dependent Loads |
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One Directional Hydrostatic Pressure |
Three Directional Hydrostatic Pressure (Without Holes) | Three Directional Hydrostatic Pressure (With Holes) |
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| Snow Load (With Holes) | Snow Load (Without Holes) | |
| Our research currently also focuses on the following | ||
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