Abstract
With the development of the times, people will look toward the cold polar regions of exploration. Due to the extreme harsh environment, scientists had to develop a new type of protective clothing to meet the needs of people working outdoors. This paper establishes a mathematical model to study this new type of protective clothing. First, this article studies how to increase the thickness of the protective clothing under multiple constraints (funds, maximum bearing weight, thickness of the middle layer), so that the experimenter can stand outside for as long as possible. Secondly, this paper establishes a single-objective optimization model for this, taking the length of time the experimenter is standing outside as the optimization objective, and taking the amount of funds and the maximum bearing weight as the constraints. Finally, the optimal solution of the nonlinear optimization model is solved through programming, and the thickening scheme of the cryogenic protective clothing is obtained. As a result, to keep the thickness of the inner layer (fabric layer) unchanged, the thickness of the middle layer (functional layer) was increased to 0.45mm, and the thickness of the outermost layer (heat insulation layer) was increased to 1.2mm. Outdoors, the holding time with 15°C as the holding limit is 846.65s, and the holding time with 10°C as the holding limit is 870.23s.
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