How to create the perfect flying machine? To combine mathematical models with physical

When designing aircraft, there are many ways in which we can be sure, but also many uncertainties. Most of them are random, others are simply not very well understood. Professor, University of Illinois Harry Hilton took several mathematical and physical theories to address problems in a more General sense, and solve physical and technical problems.

“There are many equations, because there are a lot of phenomena. They are an attempt of mathematical description of physical phenomena in such a way that you could solve these problems. But words alone will not solve them. It turns out that the problem is creating a perfect aircraft for special missions and objectives,” says Harry Hilton, Professor Emeritus, Department of aerospace engineering at the Engineering College of the University of Illinois at Urbana-Champaign. Hilton considers models independently from each other, and then adds them together.

So the planes did not fall

Analysis of Hilton brought a new model that takes into account many, but not all, of the known phenomenon. These analyses form a linear beginning as a step to nonlinear real-world accidents.

“We use math and physics in the design, but with restrictions. In physics we don’t always understand what is happening,” he says. “Here as well. There are principles that are not yet resolved. Mathematics is very exact science, but we tend to build equations, proceeding from the fact that we can solve, not from the fact that you have to solve.”

“Probabilistic analyses work well when the development of missiles, because you only have one flight, one chance to make things right. It will either hit the target or not. But she never returned and not re-used”.

The work was published in MESA, the international journal on mathematics in engineering, science and aerospace technology.

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