Global difference method based non-uniform temperature field thermal modal sensitivity analysis method

Abstract

The invention discloses a global difference method based non-uniform temperature field thermal modal sensitivity analysis method. The method includes: using an intermediate function to represent a relation between a material parameter and a temperature, for affecting a structural dynamic characteristic, defining an intermediate function coefficient as an intermediate variable, and using the intermediate variable as an initial parameter of sensitivity calculation; establishing a structural finite element analysis model, and calculating a thermal modal parameter; acquiring a new material parameter value through a perturbation method, performing structural thermal modal analysis, solving the thermal modal frequency, calculating an approximate derivative of the thermal modal frequency for theinitial parameter according to a difference format of the global difference method, and acquiring the sensitivity. The material parameter associated with the temperature field is fitted into a linearfunction curve, and then sensitivity analysis of the material parameter filed in thermal modal under the non-uniform temperature field is converted into sensitivity analysis of the intermediate function coefficient, and an objective of reducing sensitivity parameters to be analyzed can be achieved. Parameter iteration difference calculation can be achieved on the basis of MATLAB programming, and the calculation efficiency is improved.

Description

technical field [0001] The invention relates to an optimal design method of a thermal conduction and structural coupling system, in particular to a thermal mode sensitivity analysis method under a non-uniform temperature field based on a global difference method. Background technique [0002] The optimal design of heat conduction and structural coupling systems is a common problem in engineering, especially in aviation, aerospace, thermomechanical and other aspects. Moreover, similar problems also exist in manufacturing processes such as thermal processing, heat treatment, and thermoforming. Heat transfer and structural thermal response (such as stress, deformation, vibration) and their coupling effects are important contents of design analysis. Sensitivity analysis is an important content of optimal design, which reflects the derivative information of constraint function and objective function to design variables. In the study of dynamic inverse problems, in order to obta...

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Problems solved by technology

Although the analysis process is relatively simple, when the parameter range is large and the number is

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