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Structural dynamic system response prediction method of considering parameter indeterminacy

A technology of parameter uncertainty and dynamic system, applied in prediction, data processing application, calculation and other directions, can solve problems such as difficulty, complexity, and error, and achieve improved theoretical accuracy and efficiency, small calculation amount, and prediction accuracy. high effect

Inactive Publication Date: 2016-09-21
NORTHEAST DIANLI UNIVERSITY
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Problems solved by technology

For the multivariate function response of any uncertain system, when there are many random parameter variables that affect it, it is quite difficult and complex to solve the real solution of the response using conventional methods, and the error is also large

Method used

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  • Structural dynamic system response prediction method of considering parameter indeterminacy
  • Structural dynamic system response prediction method of considering parameter indeterminacy
  • Structural dynamic system response prediction method of considering parameter indeterminacy

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Embodiment Construction

[0034] refer to figure 1 and figure 2 , a method for predicting the response of a structural dynamical system considering parameter uncertainty of the present invention, comprising the following steps:

[0035] Step 1: The parameter uncertainty of the system, through the random variable parameter X=[x i ,...,x n ] T To describe, the distribution law of each random variable is given as Determine whether the random variable obeys the normal distribution, if it is satisfied, go to step 3 directly; if not, go to step 2;

[0036] Step 2: Using the numerical conversion method, in R N superior Transform the random variable of non-normal distribution into the random variable of normal distribution, and give the distribution law u of each random variable i ~N(μ i ,σ i 2 ),

[0037] which is:

[0038] Step 3: Based on the multivariate Fourier-Hermite polynomial expansion, the response of the structural dynamic system is expressed as a polynomial function form of multiva...

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Abstract

A method for predicting the response of a structural dynamic system considering parameter uncertainty, which is characterized by: including: describing the uncertainty of the system through random variables as parameters, and giving the distribution law of each random variable; Multivariate random variables are transformed into mutually statistically independent multivariate normal distribution variables; based on multivariate Fourier‑Hermite polynomial expansion, the response of the structural dynamic system is expressed as a mutually statistically independent multivariate normal distribution variable polynomial function form; using Gauss‑Hermite values Integrate and calculate the undetermined coefficients of polynomial expansion and calculate the mean response; Substitute the obtained polynomial coefficients and mean responses into the Fourier-Hermite polynomial to obtain the displayed polynomial function of the system response; Based on the system response polynomial function, embed local MonteCarlo simulation to obtain structural dynamics Statistical characteristics of the system response.

Description

technical field [0001] The invention relates to a system response prediction method, in particular to a structure dynamic system response prediction method considering parameter uncertainty. Background technique [0002] System uncertainty is an inevitable problem in power system. Due to the uncertainty of the system parameters, the natural frequency and system response become random quantities, and the calculation results are completely dependent on the statistical characteristics of the random parameters, and the realization process is extremely complicated. [0003] In the past 20 years, many research results have been obtained in the theory and application of power system response prediction. But so far, the vast majority of dynamical system response predictions are deterministic methods, which do not consider the uncertainties contained in structural parameters and responses, thus restricting the application of dynamical system response prediction on complex structures...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06Q10/04
CPCG06Q10/04
Inventor 肖斌宋宗彪高超张艾萍曹丽华李亚轩金建国孙斌
Owner NORTHEAST DIANLI UNIVERSITY
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