Method for analyzing stability of structural system under uncertain information condition

A technology of system stability and analysis method, applied in the field of building structure, can solve the problems of low efficiency of MonteCarlo digital simulation method, large number of samples, strict preconditions, etc., to achieve reliable uncertain information, improve accuracy, and simple and effective method Effect

Active Publication Date: 2018-08-24
KUNMING UNIV OF SCI & TECH
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Problems solved by technology

However, for the small failure probability problems that often appear in engineering practice, this method requires a large number of samples, which leads to the low efficiency of the Monte Carlo digital simulation method
[0005] (2) However, the uncertainties in the stability analysis of structural systems include cognitive uncertainty in addition to random uncertainty. For this reaso

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  • Method for analyzing stability of structural system under uncertain information condition
  • Method for analyzing stability of structural system under uncertain information condition
  • Method for analyzing stability of structural system under uncertain information condition

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Embodiment 1

[0045] Embodiment 1: This embodiment is a cantilever beam model that often appears in construction engineering structures.

[0046] Step 1: Establish the stability equation, such as Figure 5 Shown is a tubular cantilever beam subjected to an external force F 1 , F 2 , P and torque T, its ultimate stable strength can be regarded as the difference between the material force S and the maximum stress σ on the lower surface of its circumference, and the stability equation is D=S-σ.

[0047] The expression of σ: in σ x , A, M, I, τ x Respectively represent the normal stress, area, bending moment, moment of inertia and shear stress. in M=F 1 L 1 cosθ 1 +F 2 L 2 cosθ 2 , d represents the outer radius of the pipe, and t represents the difference between the outer and inner radius of the pipe.

[0048] The model contains 5 fixed parameters whose values ​​are: the length L of the tubular cantilever beam 1 =200mm, the distance L from the support point to the center of...

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Abstract

The invention provides a method for analyzing the stability of a structural system under an uncertain information condition. The method comprises the following steps of (A) establishing a stability equation D=Func(x1, x2, ..., xi, ..., xn) of the structural system; (B) performing probability box modeling on uncertain information parameters in the structural system; (C) performing equal reliabilitydiscretization on probability boxes of the uncertain information parameters; (D) substituting the uncertain information parameters into the stability equation of the structural system and calculatinga Cartesian product; (E) obtaining a probability box model of a complete system; (F) defining a stability region and a risk region of the system; and (G) calculating areas of the corresponding regions to quantitatively analyze the stability of the structural system. The method has the beneficial effects that the probability boxes are adopted for expressing the uncertainty; not only random uncertainty of the parameters in the system but also cognitive uncertainty can be expressed; the problem of parameter uncertainty in the system model is better solved; and the stability of the structural system is analyzed in combination with the method, so that the accuracy of analyzing the stability of the structural system is improved.

Description

technical field [0001] The invention relates to a structural system stability analysis method under uncertain information conditions, which is mainly used for analyzing the stability of engineering structures and is applicable to the field of building structures, such as houses, bridges, dams and the like. Background technique [0002] In the stability analysis of actual engineering structural systems, there are inevitably various uncertainties related to material properties, boundary conditions, and loads. Analyzing, understanding and controlling uncertain information plays an important role in the stability design and analysis of the structural system. , all kinds of uncertain information will affect the structural system stability analysis and decision evaluation. In fact, the uncertainties in the stability analysis of structural systems include random uncertainties and cognitive uncertainties. Stochastic uncertainty refers to the inherent properties of things, which can...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20G06F2111/08G06F2111/10
Inventor 丁家满任东磊贾连印姜瑛王清心
Owner KUNMING UNIV OF SCI & TECH
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