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A Method for Determining Structural Response Intervals Based on Alternating Lipschitz Search Strategy

A technology of structural response and search strategy, applied in design optimization/simulation, computer-aided design, etc., can solve the problem of dealing with structural nonlinearity that is difficult to balance efficiency, accuracy, and adaptability, so as to improve solution accuracy and reduce resource consumption , good precision and efficiency

Active Publication Date: 2020-07-31
BEIHANG UNIV
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Problems solved by technology

[0005] The technical problem solved by the present invention is: to overcome the problem that the traditional uncertain response interval determination method is difficult to take into account the efficiency, precision and self-adaptability in dealing with structural nonlinearity, and combine the alternate Lipschitz search strategy with the BADS optimization algorithm to propose a Method for Determining Structural Response Interval Based on Alternate Lipschitz Search Strategy

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  • A Method for Determining Structural Response Intervals Based on Alternating Lipschitz Search Strategy
  • A Method for Determining Structural Response Intervals Based on Alternating Lipschitz Search Strategy
  • A Method for Determining Structural Response Intervals Based on Alternating Lipschitz Search Strategy

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Embodiment

[0059] 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 2 The shown uncertainty system consisting of spring-slider-damper validates the method.

[0060] The spring-slider-damper system is a commonly used mechanical subsystem in the shock absorber, and the system has two masses, denoted as, m 1 ,m 2 , three springs, denoted as k 1 ,k 2 ,k 3 , three dampers, denoted as c 1 ,c 2 ,c 3 . Assume here that m 1 =m 2 =m,c 1 = c 2 = c 3 =c,k 1 =k 2 =k 3 =k. And assume that the uncertainty intervals of variables m, k, and c are [270,330](kg), [315,365](kN / m), [5.4,6.6](N·s / m) respectively. Given the initial condition of this non-conservative system as x 0 =[00] T (m),x 0 =[50] T (m / s).

[0061] Using the proposed method for determining the structural response interval based on an alternating Lipschitz search strategy to determine m within 1-10 s 1 The ...

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Abstract

The invention discloses a method for determining the structural response interval based on an alternate Lipschitz search strategy. Firstly, the relevant input of the structural interval problem is defined; secondly, the variable space is gridded and discrete, and initial sample points are randomly selected; and then, according to the current sampling point Calculate the Lipschitz constant matrix K, and construct an alternate solution process: if the current iterative step is an even number, search for the upper bound of the interval response, and if it is an odd number, search for the lower bound of the interval response. In the search process of responding to the upper bound and the lower bound, the sampling functions LI_UP and LI_LO were respectively constructed, and optimized with the BADS algorithm to obtain the next sampling point; again, the current set of sample points was updated, and the process of alternate solution was continued until the convergence was satisfied Tolerance; finally, refine the search through the BADS algorithm to determine the structural response interval limit. The invention realizes the precise envelope of the structural response interval limit by proposing an alternate solution strategy, and has the characteristics of high precision and high efficiency.

Description

technical field [0001] The present invention relates to the mechanical response evaluation technology of structures in the presence of multi-source uncertainties, and in particular to a method for determining structural response intervals by combining non-probability set theory, alternate Lipschitz search strategy and BADS algorithm under the action of interval uncertainties , to provide reliable data support for structural performance analysis and safety assessment. Background technique [0002] In the process of engineering practice, the lack of structural information, material defects, manufacturing errors and complex and diverse working environments have caused the actual work of the structure to be affected by multiple sources of uncertainty. Determining the response interval of complex structural systems under the influence of uncertainty has always been a hot research issue, and so far there is no technology that can achieve perfection in accuracy, efficiency and appl...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 王晓军丁旭云刘易斯
Owner BEIHANG UNIV
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