On Manufacturing Method Decision

With the numerous applications we have reviewed to this day, I have seen that topology optimization is usually applied after the manufacturing method is decided. I wonder about the efficiency of such an exercise. If the aim is obtaining the best structure possible, with of course a low cost (Pareto). Now the low cost dictates a suitable, low cost manufacturing method. When we have the manufacturing method fixed, and constrain the topology optimization process with the method; by means of die draw direction, or mentally, or by other means; the chances are that we are missing many of the possible structures, some of which can be better (mechanical performance and price wise).

The best practice would be to do the topology optimization first, and examine the manufacturing methods that can produce this structure. Then if no method can produce this structure in a cost effective way, or the method is unwanted due to some reasons (e.g. we do not want a cast structure for its inferior mechanical properties) we can proceed to apply manufacturing constraints.

However the common practice in the industry is to make one high resolution optimization for around 2 days, and rely on the results. Actualy a much lower resolution optimization gives approximatly the same results and can be condcuted in hours or minutes. A few such low-resolution studies can be done with different volume percentages, die directions etc. to find the most suitable one, then the best one can be optimized in a high resolution , days long optimization.

Making such short optimizations also gives insight on the boundary conditions, load cases etc. It is a waste of time to compute a topology for 2 days to see that the boundary conditions were wrong. Also using low-resolution analysis, you can see the areas that are left empty, and remove that region from high-resolution analysis design space, to speed up the optimization process. As the computation time increases exponentially with the number of elements, you can obtain significant time reductions. This way using a few small optimization with one high resolution optimization may end up using less time than the usual practice.

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GENERATING CAD PARAMETRIC FEATURES

The thesis by William Robert Blattman (link) studies generation of a parametric CAD model from topology optimization results. As I stated in many of my previous articles, interpretation of topology optimization is the weakest link in the design cycle at the moment. We have seen many topology optimizations gone wrong. A software to interpret the results is very much needed to utilize topology optimization in an efficient way. In one of our previous posts we had presented such an effort by another researcher, that detected planar regions of topology optimization results.

This thesis however works by adapting parametric geometries to the voids in the results. When all the voids are fitted, a nice parametric CAD geometry is obtained. Once we have a parametric geometry, it becomes very easy to optimize it further, or figure the way to manufacture it out. The method was in development stage at the time of the thesis (2008) and some steps were done by user instead of the software. The method has great potential, and we hope it will be (or is already) perfected soon.

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Bridge Optimization

In this nice presentation (link) topology optimization of bridges is elaborated.

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THIN-SHELL BRIDGE STRUCTURE

Topology optimization of a thin shell bridge was done (link) and compared to a real bridge. The original bridge is Knokke bridge located in Belgium which did cost $1,700,000 euro to build (link2). The optimized bridge has better mechanical properties as usual. However the weight is not reported. The topology optimization results indicate asymmetric structure, as the design space is not symmetric it is expected to be so. However the interpretation of the user is symmetrical.

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Topology Synthesis of Structures Using Parameter Relaxation and Geometric Refinement

In this  technical publication (link) by Marshall Space Flight Center of NASA, topology optimization for compliant mechanisms is studied. Genetic Algorithm based optimization is used, also featuring subdivision to smooth the geometry, also geometry relaxation, so that the mesh is not constant but changes shape. There are many things not clear to me, I would be happy if a knowledgeable reader can enlighten us in the comments or by e-mail. I am not questioning the usefulness of this research, it is for sure one step for the humanity, even if it may not have immediate practical applications. Why not use higher resolution but subdivision and geometry relaxation? How is the result better from the one that TopOpt mechanism design module which is a free web based application, can produce? And it is stated that the results for a 47×24 design space were obtained by 5 months of continuous calculations, where as TopOpt gives results in minutes or seconds. Is it because as the article states:

Although many researchers are using density relaxation, it is well known that the relaxed density parameter CM design problems do not lead to useful designs”

I will research this last statement to understand the differences.

 

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Multiresolution Topology Optimization (MTOP)

Tam H. Nguyen et al. developed this novel method called Multiresolution Topology Optimization (MTOP) (link), which utilizes different meshes, namely the displacement mesh , the design variable mesh and the density mesh. Using a coarse displacement mesh which is used for finite element analysis, computational time is reduced, by using fine design variable mesh and the density mesh, a high resolution result is obtained. In the article a cantilever with 240×80 mesh size optimized with conventional techniques is compared to 48×16 mesh MTOP sample and the results are practically identical. Many other examples are given, reduction in element number most notable in 3D examples,  like 5000 vs 320 000 elements with similar results. It is obvious that the reduction in computational time would be enormous. However no specific data is given about the time reductions obtained.

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Topology-free optimization – an application to turbine internal cooling geometries

This work is more related to CFD optimization which can change the topology of the structure, than topology optimization (link). Hence the name is topology-free optimization, to denote that it can change the topology. An integrated approach is followed where one software can perform many steps of CFD optimization that was necessary before. The package is called BOXER. The mesher part of the software is now developed enough to be a commercial product. It uses octree data structure and is very fast.

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DIE CAST AUTOMOTIVE BACKREST FRAME

Actually I thought a lot about whether I should post this or not. When I found this thesis (link), I was very excited. I know that magnesium backrest frames are used in some high-end cars, and further lightening can be obtained with topology optimization. When I read the thesis… well I do not want to write bad things about someones hard work. As the writer of the thesis states, interpretation of topology-optimization results can be hard. So without further comment, and with all my respect, I will post one section from the results:

“The maximum displacement in the seat is 21.44 mm which is well below the ECE R17 limit. Results from the linear analysis indicate that the optimized seat deflects more when compared to the reference seat which had a maximum displacement of 17.8 mm. From Figure 5-31, it is found that stress levels have been increased compared to the reference seat but yielding takes place only in localized corners as before.”

Final state of the backrest

 

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Tembra wind turbine

I came across one image many times during my research, but could not find more information, but now I have found the source (link). Tembra “wind turbine developement” made this beautiful and complex, topology optimized cast structure, namely the main frame. It is main load bearing component that carries bearings, generator etc.

The cast component.

A welded frame (probably prototype)

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BMW

This presentation by BMW shows many types of optimization utilized.

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