Why symmetrical?
 

Most of engineering creations are symmetrical. Why?

Symmetrical engineering design: it’s easier to calculate and draw (sometimes to build). Aesthetic engineering view was formed in our culture during several thousands of years: symmetrical are better.

But if you look out of the window – world is asymmetrical: Solar system, Earth, Mountains and Valleys, Animals, Trees and Grasses.

It’s better to see trees than logs from the horizon to horizon in our electrical communications for hundred years.

The only problem is: how to find this optimal solution without implementing symmetry (if you implement something – you implement restrictions and get less effective solution).

Programs FrameGA based on genetic algorithms for optimization of space and plane frames generates structures and give the answer and solution.

Below are examples of asymmetrical structures. There weight is 50 – 75 % of optimized symmetrical one. All frames have wind loading round the frame through 45 degrees - 8 loadings (wind from any direction) + 1 loading without wind - multiple loadings. All loadings also have forces and self-weight. Optimal solutions are for integrity of all these loadings.
Tensile bars are blue, compressed – red and zero bars are black.

And they are nice looking because they are  optimal.

If you look around – our engineering designs are symmetrical: airplanes, ships, buildings and industrial components. Are they optimal? Why to pay for symmetry?

 





Fig. 1. Asymmetrical frames

 


Fig. 2. Symmetrical frame

 




Fig. 3. Asymmetrical frames with 2 forbidden zones

 


Fig. 4. Symmetrical frame with 2 forbidden zones

 

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