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First passage theory-based method for analyzing non-probability power reliability of vibrating active control system

A technology of active control system and crossing theory, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve the problems of ignoring robust constraints, over-redundancy dependencies, and restricting the practical process of active control theory engineering.

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

The above work ensures the well-posedness of the active vibration control system to a certain extent, but ignores the over-redundancy of the robust constraints and the correlation of structural failure events under the time accumulation effect, which greatly limits the engineering practical progress of the active control theory.

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  • First passage theory-based method for analyzing non-probability power reliability of vibrating active control system
  • First passage theory-based method for analyzing non-probability power reliability of vibrating active control system
  • First passage theory-based method for analyzing non-probability power reliability of vibrating active control system

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Embodiment

[0137] In order to understand more fully the characteristics of the invention and its applicability to engineering practice, the present invention aims at such as Figure 6 Non-probabilistic dynamic reliability analysis of the ten-bar truss structure shown after active control. The length of the horizontal bar and the vertical bar is 500mm, and the cross-sectional area of ​​the bar is 400mm 2 , the overall damping matrix of the structure is P=αM+βK, where α=1.8559, β=6.2516×10 -6 . In this example, there are two sets of external loads f 1 (t) and f 2 (t), and have:

[0138] f 1 (t) = 1000e (-3t) sin(100πt)kN and f 2 (t) = 800e (-2t) cos(75πt)kN, t∈[0,2] years

[0139] In addition, two sets of drivers are positioned at nodes 2 and 4 and apply active control f a1 (t) and f a2 (t). Therefore, the displacement of node 1 in the horizontal and vertical directions is controlled at the allowable value X cr = Within 7.5mm. Considering the dispersion effect of materials, i...

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Abstract

The invention discloses a first passage theory-based method for analyzing non-probability power reliability of a vibrating active control system. According to the method, the influences, caused by interval uncertainty of materials, on well-posedness of the active control system is comprehensively considered. The method comprises the following steps: deriving a power response expression of the active control system on the basis of a one-order state-space equation and a state feedback control theory; constructing a non-probability interval process model of controlled structure power response on the basis of an interval mathematic thought and a time varying uncertainty propagation analysis method; and defining a non-probability power reliability index of the vibrating active control system by utilizing a first passage theory and a structure control rate failure criterion, and exploring an efficient and steady solving method. When the method is used for carrying out reliability calculation, the comprehensive influences, caused by material dispersity, on controlled structure power response is embodied, so that necessary and feasible theoretical reference is provided for the fine design of controllers.

Description

technical field [0001] The present invention relates to the technical field of safety assessment of active vibration control systems, in particular to the reasonable identification and effective measurement of structural safety situations under the influence of material dispersion, for further planning the engineering application of reliable control concepts for large structures and the optimization of active control systems The formulation of the design scheme provides a theoretical basis for reference. Background technique [0002] In engineering structure problems, vibration phenomena are ubiquitous, and the impact of vibration effects on structures is unavoidable. In most cases, vibration effects are detrimental to the structure. How to reduce the harm caused by the vibration effect must consider how to control the vibration. Structural vibration control technology is a very important aspect in vibration mechanics. Existing vibration control includes the following two...

Claims

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Application Information

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IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 王磊王晓军管闯闯樊维超苏欢
Owner BEIHANG UNIV
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