Existing structure static equivalent reliability evaluation method based on interval set envelope function

A technology of envelope function and service structure, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve problems such as huge consumption of computing resources, difficulty in computing, and inability to accurately simulate multiple crossings.

Active Publication Date: 2016-10-12
BEIHANG UNIV
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Problems solved by technology

The method based on the extreme value response needs to obtain enough samples to determine the statistical characteristics of the response extreme value at different times, and the engineering practicability is not strong; the method based on the first crossing needs to obtain the crossing rate index of the response to t...

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  • Existing structure static equivalent reliability evaluation method based on interval set envelope function
  • Existing structure static equivalent reliability evaluation method based on interval set envelope function
  • Existing structure static equivalent reliability evaluation method based on interval set envelope function

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Embodiment

[0099] In order to fully understand the characteristics of the invention and its applicability to engineering practice, the present invention aims at Figure 5 The shown cantilever beam structure in service has undergone an equivalent static reliability analysis based on an interval envelope function. Among them, the corresponding width of the beam section is b and the height is h; one side of the cantilever beam is fixedly supported, and the other side bears a concentrated load F(t)=F 0 cost and bending moment M(t), F 0 Is the load amplitude. The lower side of the cross section at the fixed end of the cantilever beam is the place where the normal stress is the largest, so the extreme stress σ is constructed max (t) is the output response function, the failure of the structure is when the maximum stress is greater than the given critical threshold σ Allowable . In this embodiment, the cross-sectional dimensions b and h and the allowable stress value σ Allowable For interval...

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Abstract

The invention discloses an existing structure static equivalent reliability evaluation method based on an interval set envelope function. The method comprises the steps that the envelope function is introduced into the reliability problem of a dynamic structure, a failure domain of the multi-parameter structure uncertainty changing along with time is approximately constructed through an envelope surface, a dynamic problem is transformed into a static problem, and effective evaluation on the structural security situation is achieved through reliability degree index calculation. According to the method, a partial differential equation is defined according to the character that the envelope surface in the internal set envelope function is tangent to a failure boundary hypersurface continuously changing along with time, and a risk moment corresponding to an extension point is solved; a limited dimensional static failure domain equivalent to an original dynamic problem at a limited risk moment is obtained by building a multi-dimensional hypercube model containing the correlation; the static equivalent reliability degree calculation process of an existing structure is finally achieved on the basis of a volume ratio idea, and the traditional time-varying reliability calculation scale is greatly reduced while the precision is guaranteed.

Description

Technical field [0001] The invention relates to the technical field of dynamic response prediction and safety assessment of a service structure, in particular to a static equivalent reliability evaluation method of a service structure based on an interval set envelope function, which is the reliability of the service structure under consideration of time-varying uncertainty Performance analysis provides a feasible equivalent transformation method for breaking through the bottleneck of large-scale and low-efficiency calculation of non-probabilistic time-varying reliability of large complex structures. Background technique [0002] Service structures, also known as in-service structures or existing structures, are inevitably accompanied by structural aging, performance degradation, and time-varying loads during their construction and use. The attenuation of structural safety indicators over time is also irreversible. If the behavioral evolution law of the structure cannot be captur...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 王磊王晓军耿新宇王睿星樊维超
Owner BEIHANG UNIV
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