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Non-probability set theory based bounded uncertainty structure static response upper and lower bound assessment method

A non-probabilistic set, uncertainty technology, applied in the field of evaluation of bounded uncertainty structural static response boundary, can solve the problem of too wide interval boundary, can not provide objective and effective data for structural reliability assessment and design, lose practical Application significance, etc.

Inactive Publication Date: 2016-06-29
BEIHANG UNIV
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Problems solved by technology

However, with the increase of the bounded uncertainty parameter, the overestimation of the results of this method is very serious
[0005] At present, for the evaluation of the static response of structures with bounded uncertainties, it has not been possible to obtain an accurate response boundary from theoretical proofs.
In addition, the existing solution models and uncertainty propagation analysis methods often lose their practical application significance due to obtaining too wide interval boundaries, and cannot provide objective and effective data for structural reliability assessment and design

Method used

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  • Non-probability set theory based bounded uncertainty structure static response upper and lower bound assessment method
  • Non-probability set theory based bounded uncertainty structure static response upper and lower bound assessment method
  • Non-probability set theory based bounded uncertainty structure static response upper and lower bound assessment method

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Embodiment

[0093] 1. Introduction to structural parameters and model analysis

[0094] In order to understand more fully the characteristics of this invention and its applicability to engineering practice, the present invention uses Figure 4 The two-segment rod shown is taken as an example for static response boundary evaluation. Figure 4 middle and Represent the stiffness coefficients of the two-section rods in the structure respectively, and the load p acts on the 2nd and 3rd ends of the rod respectively 1 and p 2 , due to manufacturing and measurement errors, stiffness coefficients and loads are bounded uncertainty parameters, and have p 1 = [49.5,50.5] and p 2 =[29.7,30.3], in this example, it is necessary to evaluate the static displacement boundary of the 2nd and 3rd ends of the rod.

[0095] 2. Evaluate the model

[0096] The governing equation of the static response of the two-section bar structure with bounded uncertainty is:

[0097] ...

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Abstract

The present invention discloses a non-probability set theory based bounded uncertainty structure static response upper and lower boundary assessment method. The method comprises: firstly, according to the Krein-Milman Theorem, representing any point in an uncertainty parameter interval as a linear combination of a vertex of the uncertainty parameter interval; based on the Clemm Rule, establishing a bounded uncertainty structure static response solving model; and by means of a combined structure vertex stiffness matrix and a vertex load vector, decomposing the model into a series of sub-models and performing a solution separately by combining a parallel algorithm, so as to obtain an upper bound and a lower bound of a bounded uncertainty structure static response, and at the same time, giving a structure parameter corresponding to the upper bound and the lower bound. According to the method disclosed by the present invention, the precise bounds of the bounded uncertainty structure static response can be obtained, and objective and effective data can be provided for reliability assessment and design of structures.

Description

technical field [0001] The invention is mainly applicable to the evaluation of the static response boundary of the bounded uncertainty structure, and specifically relates to an evaluation method of the upper and lower bounds of the static response of the bounded uncertainty structure based on non-probability set theory. Background technique [0002] Traditionally, structural static problems are analyzed and solved based on deterministic models. However, the latest engineering design and research progress have recognized that there are many types of uncertainties in practical engineering. An important problem faced by existing structural analysis and design theories is how to deal with uncertain parameters in structural systems and excitation loads. [0003] Probabilistic methods were first applied to the analysis of structures with uncertain parameters. This method describes the uncertainty information of the system through the probability distribution function (or probabil...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/13G06F30/23G06F30/367
Inventor 邱志平吕峥朱静静胡永明陈贤佳
Owner BEIHANG UNIV
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