Numerical value general solution method for heat conduction heat source position recognition inverse problem

A numerical general solution and heat conduction technology, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as time-consuming and difficult to solve

Active Publication Date: 2016-06-15
ZHEJIANG TIANCHONG VEHICLE LAMP GROUP
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Obviously, the heat conduction inverse problem is more difficult and time-consuming to solve than the heat conduction direct problem

Method used

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  • Numerical value general solution method for heat conduction heat source position recognition inverse problem
  • Numerical value general solution method for heat conduction heat source position recognition inverse problem
  • Numerical value general solution method for heat conduction heat source position recognition inverse problem

Examples

Experimental program
Comparison scheme
Effect test

Embodiment

[0105] 实施例:以点源为例

[0106] 第1步:热传导源项位置识别反问题描述

[0107] 该一维热传导源项位置识别反问题的例子可描述为:一维问题,长为1m、中点作用5W点热源,一端指定温度10℃,另一端放置在环境温度为25℃的空气中;材料导热系数20,对流换热系数25。要求反演点热源的位置。

[0108] 本实例中涉及的有限元分析,可以使用目前通用的有限元分析软件,如Ansys、Cosmos等完成;

[0109] 第2步:确定点源反演的相关参数

[0110] 根据本发明提出的反演算法,首先确定点源反演的相关参数如下:

[0111] 1)设定点源位置可能的范围,即对x i1 ≤x i ≤x i2 ,取l / 4≤x i ≤3l / 4;

[0112] 2)在x=1位置取一个测量点,根据精确解考虑偏差后给出补充条件θ 11 =138(单位是摄氏度℃,下同,略);

[0113] 第3步:解齐次解和特解,构造通解

[0114] 根据本发明的数值通解方法,采用有限元法在测量点分别计算齐次解、x i1 、x i1 点作用5W点热源的特解,见 figure 1 and figure 2 ;提取测量点的温度值,有: θ 11 = 10 , θ q 11 1 = 72.5 , θ q 11 2 = 197.5.

[0115] 第4步:求解方程,得到热源位置参数

[0116] 根据公式(7)~(9),可得点源位置参数为:

[0117] α ...

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Abstract

The invention relates to a numerical value general solution method for a heat conduction heat source position recognition inverse problem. The numerical value general solution comprises the following steps that a heat conduction source position recognition inverse problem is described, the next step is directly executed if a heat conduction source is a point source, and if the heat conduction source is a non-point source, a conversion algorithm is adopted to convert the non-point source inverse problem into a point source inverse problem, and then the next step is executed; a homogeneous solution and a particular solution are calculated to construct a numerical value general solution; a system of linear equations is solved, and heat source position parameters are obtained. According to the method, the numerical value general solution meeting a heat conduction differential equation and using the heat source parameters as variables is constructed based on the finite element numerical solution, the heat conduction position recognition inverse problem is converted into a multivariate function extremum problem, and the heat source parameters are rapidly obtained through inversion. The method not only can inverse the point heat source position, but also can inverse the positions of heat sources in any shape, thereby being wide in application range, high in adaptability and good in engineering application prospect.

Description

technical field [0001] The invention relates to a method for identifying an inverse problem of heat conduction source item position, in particular to a numerical general solution method for the inverse problem of heat conduction heat source position identification. Background technique [0002] The application of heat conduction inverse problem is a research hotspot in engineering in recent years, and it is the focus of basic research on heat transfer. In recent years, the heat conduction inverse problem is showing good application prospects in engineering, and has a wide range of application backgrounds in industrial fields such as power engineering, metallurgy, and molds. [0003] The inverse problem of heat conduction refers to the inverse problem of heat conduction, when the temperature distribution of the structure is known after a certain time, and the thermophysical parameters, heat source function, or geometric shape, or boundary conditions of the structure are inver...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 刘红蒋兰芳杨梦
Owner ZHEJIANG TIANCHONG VEHICLE LAMP GROUP
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