Numerical-value general-solution method for strength identification inverse-problems of heat-conduction line sources

Abstract

The invention discloses a numerical-value general-solution method for the strength identification inverse-problems of heat-conduction line sources, comprising the following steps of (1), describing the identification inverse-problems of heat-conduction source terms, and establishing a cost function; (2), in the case that the heat-conduction sources of the step (1) are respectively a point source, directly entering a step (3); in the case that the heat-conduction sources of the step (1) are respectively a line source, converting a line-source inverse-problem to a point-source inverse-problem by adopting a conversion algorithm, and then entering the step (3); (3), solving homogeneous solutions and particular solutions, and constructing a numerical-value general-solution; (4) solving linear simultaneous equations, and obtaining the strength parameters of the heat sources. According to the method, the numerical-value general-solution which meets a heat-conduction differential equation and takes heat source parameters as variables is constructed based on finite element numerical solutions; as the identification reverse-problems of the heat-conduction line sources are converted to multivariate function extremal problems, heat source parameters are rapidly inversed; by the adoption of the method, the strength of source items can be inverted without being limited by the shape of a solution domain; therefore, the application scope is wide, the adaptability is strong and the project application prospect is quite good.

Description

technical field [0001] The invention relates to a method for identifying an inverse problem of heat conduction source item, in particular to a numerical general solution method for identifying an inverse problem of heat conduction line source intensity. Background technique [0002] The inverse problem of heat conduction is one of the hot spots in the research of basic heat transfer. Many problems in engineering can be described by the mathematical model of the inverse problem to express the causal relationship of the problem more clearly, so as to find a more effective solution. Therefore, in power engineering , metallurgy and mold and other industrial fields have a wide range of application background. Among them, the inverse problem of source term identification has become one of the research hotspots on the diffusion problem and the inverse problem of heat conduction in recent years, such as the problem of mold heating. [0003] At present, there are patents on the inve...

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Problems solved by technology

[0005] The current mold heating system design is usually designed by experience, and then repeatedly debugged and modified through temperature tests until it meets the requirements of relevant standards, which will result in time-consuming and labor-intensive design and high processing costs.

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