Structural interval response propagation analysis method with multiple uncertain parameters based on adjoint variable method

Abstract

The invention discloses a structural interval response propagation analysis method with multiple uncertain parameters based on an adjoint variable method. In the method, Taylor series expansion is performed on structural interval response, and a first-order approximate model of system response is obtained in an uncertain parameter interval. Based on this, upper and lower bounds of the interval response are obtained. For systems with multiple uncertain parameters, when the Taylor series is expanded, a partial derivative of the response with respect to the uncertain parameters is solved based onthe adjoint variable method, so that the number of times of system reanalysis can be reduced to obtain a partial derivative of the response with respect to all uncertain parameters, and the upper andlower bounds of the uncertainty interval of the system response are determined. The method greatly improves the computational efficiency under the premise of ensuring the accuracy of calculation. Therefore, the response boundary of the structure can be efficiently predicted.

Description

technical field [0001] The present invention relates to the field of uncertainty propagation of structural response with interval parameters, in particular to a structural interval response propagation analysis method with multiple uncertain parameters based on the adjoint variable method, which is based on the Taylor series expansion method combined with the accompanying variable proposed by law. Background technique [0002] In the design and analysis of engineering structures, deterministic models are usually used, that is, these models are all based on deterministic parameters. However, in actual engineering, due to the complexity of the engineering structure and the dispersion of materials, as well as the influence of measurement, processing, and manufacturing errors, the response of the system will be different from the response of the deterministic system, and there will be a certain degree of fluctuation . Therefore, it is necessary to analyze the uncertainty of th...

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Problems solved by technology

The Taylor series expansion method is approximated by performing Taylor series expansion on the system response, in which the system response needs to be derived from the uncertain parameters, and the relationship between the system response and the uncertain parameters often does not have an explicit expression. Therefore, the current The derivation calculation of the research work mainly adopts the difference calculation, but the difference calculation will bring two problems. (1) The selection of the difference step size is subjective, and the step size will affect the derivation accuracy; (2) ) The computational cost of the difference method will increase sharply with the increase of uncertain parameters

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