Transient statistical energy response prediction method considering uncertain structure

Abstract

The invention provides a transient statistical energy response prediction method considering an uncertain structure. Compared with a conventional transient statistical energy method which can only perform dynamic response prediction for a deterministic structure and does not take uncertain factors such as structure parameter randomness and measuring errors into account, the method characterizes the uncertainty of the structure through an interval method, the influence of uncertainty on the energy transfer and dissipation between structural subsystems is considered, a more precise transient energy expression of each subsystem of the structure is established based on an energy control equation, an expression of the subsystem transient energy is converted into a polynomial form suitable for interval calculation, so that the transient statistical energy analysis method is popularized and applied to the dynamic response analysis of the uncertain structure, the research scope of the currenttransient statistical energy analysis method is expanded, and the method has important engineering application value.

Description

technical field [0001] The invention relates to a method for predicting structural dynamic response, in particular to a method for predicting structural transient statistical energy response. Background technique [0002] Uncertainty problems generally exist in the prediction of structural dynamic response, which are mainly divided into two categories: the uncertainty of structural parameters and the uncertainty of test data. These uncertain factors may cause large deviations or Unpredictability, thus affecting the reliability and safety evaluation of the structure. The uncertainty of the structure mainly comes from the uncertainty of material parameters, structural parameters and statistical energy analysis parameters measured by experiments. However, due to the limitation of parameter samples, it is usually difficult to obtain the statistical properties of uncertain parameters, resulting in large errors in the response prediction of the structure. At this time, the inter...

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Problems solved by technology

[0004] Purpose of the invention: The purpose of the present invention is to address the deficiencies of the prior art and provide a structural transient statistical energy response prediction method that considers uncertainty, which solves the problem that the current method can only be applied to deterministic structures and cannot consider the randomness of material parameters. Uncertainty factors such as sex and measurement error

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