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In this paper, we prove a geometrical inequality which states that for any four points on a hemisphere with the unit radius, the largest sum of distances between the points is 4+4*sqrt(2). In our method, we have constructed a rectangular neighborhood of the local maximum point in the feasible set, which size is explicitly determined, and proved that (1): the objective function is bounded by a quadratic polynomial which takes the local maximum point as the unique critical point in the neighborhood, and (2): the rest part of the feasible set can be partitioned into a finite union of a large number of very small cubes so that on each small cube the conjecture can be verified by estimating the objective function with exact numerical computation., Comment: In Proceedings ADG 2021, arXiv:2112.14770

Piston is the ‘heart’ of the automobile engine. It’s one of the key components of the engine and it’s working the hard condition which accelerated the piston wear and broken. A good design of the piston in this thesis is compared with existing piston to extend the Mean Time Between Maintenance. In order to achieve the deformation, thermal and stress distribution of the piston, ANASYS software is used to analyze the piston under the thermal loads and mechanical loads. The results are shown that the temperature distribution occurs on the top of the piston when the piston under the thermal load and the greatest stress occurs on the piston pin when the piston under the thermal-structure coupling. The temperature distribution is conformed to the facts, but the greatest stress is a bit large when coupling.

Piston is the ‘heart’ of the automobile engine. It’s one of the key components of the engine and it’s working the hard condition which accelerated the piston wear and broken. A good design of the piston in this thesis is compared with existing piston to extend the Mean Time Between Maintenance. In order to achieve the deformation, thermal and stress distribution of the piston, ANASYS software is used to analyze the piston under the thermal loads and mechanical loads. The results are shown that the temperature distribution occurs on the top of the piston when the piston under the thermal load and the greatest stress occurs on the piston pin when the piston under the thermal-structure coupling. The temperature distribution is conformed to the facts, but the greatest stress is a bit large when coupling.

Piston is the ‘heart’ of the automobile engine. It’s one of the key components of the engine and it’s working the hard condition which accelerated the piston wear and broken. A good design of the piston in this thesis is compared with existing piston to extend the Mean Time Between Maintenance. In order to achieve the deformation, thermal and stress distribution of the piston, ANASYS software is used to analyze the piston under the thermal loads and mechanical loads. The results are shown that the temperature distribution occurs on the top of the piston when the piston under the thermal load and the greatest stress occurs on the piston pin when the piston under the thermal-structure coupling. The temperature distribution is conformed to the facts, but the greatest stress is a bit large when coupling.

Piston is the ‘heart’ of the automobile engine. It’s one of the key components of the engine and it’s working the hard condition which accelerated the piston wear and broken. A good design of the piston in this thesis is compared with existing piston to extend the Mean Time Between Maintenance. In order to achieve the deformation, thermal and stress distribution of the piston, ANASYS software is used to analyze the piston under the thermal loads and mechanical loads. The results are shown that the temperature distribution occurs on the top of the piston when the piston under the thermal load and the greatest stress occurs on the piston pin when the piston under the thermal-structure coupling. The temperature distribution is conformed to the facts, but the greatest stress is a bit large when coupling.

Piston is the ‘heart’ of the automobile engine. It’s one of the key components of the engine and it’s working the hard condition which accelerated the piston wear and broken. A good design of the piston in this thesis is compared with existing piston to extend the Mean Time Between Maintenance. In order to achieve the deformation, thermal and stress distribution of the piston, ANASYS software is used to analyze the piston under the thermal loads and mechanical loads. The results are shown that the temperature distribution occurs on the top of the piston when the piston under the thermal load and the greatest stress occurs on the piston pin when the piston under the thermal-structure coupling. The temperature distribution is conformed to the facts, but the greatest stress is a bit large when coupling.

Piston is the ‘heart’ of the automobile engine. It’s one of the key components of the engine and it’s working the hard condition which accelerated the piston wear and broken. A good design of the piston in this thesis is compared with existing piston to extend the Mean Time Between Maintenance. In order to achieve the deformation, thermal and stress distribution of the piston, ANASYS software is used to analyze the piston under the thermal loads and mechanical loads. The results are shown that the temperature distribution occurs on the top of the piston when the piston under the thermal load and the greatest stress occurs on the piston pin when the piston under the thermal-structure coupling. The temperature distribution is conformed to the facts, but the greatest stress is a bit large when coupling.