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Improved multi-flexible body system dynamics prediction method with hybrid uncertainty

A system dynamics and uncertainty technology, applied in the field of mixed uncertain multi-flexible system dynamics, can solve problems such as low calculation efficiency, large calculation amount, limited research methods, etc., to achieve improved prediction efficiency, low cost, time-consuming effect

Active Publication Date: 2021-08-13
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0007] At present, the research methods of mixed uncertainty problems are relatively limited, and the calculation amount is relatively large in the actual solution process, and the calculation efficiency is low.

Method used

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  • Improved multi-flexible body system dynamics prediction method with hybrid uncertainty
  • Improved multi-flexible body system dynamics prediction method with hybrid uncertainty
  • Improved multi-flexible body system dynamics prediction method with hybrid uncertainty

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Embodiment 1

[0077] refer to figure 1 , the improved method for dynamics prediction of a multi-flexible system with mixed uncertainties disclosed in this embodiment, the specific implementation steps are as follows:

[0078] Step 1: Determine the number of random and interval uncertainty parameters of the multi-flexible body system, and the expansion orders p, k of the Hermite and Chebyshev polynomials corresponding to the random and interval uncertainties, then the corresponding inner and outer layers The integral precision is 2p+1 and 2k+1 respectively.

[0079]Step 2: Determine the sample points for the bilayer loop. Determine the sample points of the system according to the form of double-layer loop nesting. The sample points of interval variables are generated by the fast LHS method in M ​​groups, which are located in the outer loop; the sample points of random variables are generated by FPA in N groups, located in the inner loop. figure 2 For 20 groups of randomly generated sampl...

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Abstract

The invention discloses an improved multi-flexible body system dynamics prediction method with hybrid uncertainty, and belongs to the field of hybrid uncertainty multi-flexible body system dynamics. The implementation method comprises the following steps: establishing a differential-algebraic equation of a determined multi-flexible body system; introducing random uncertainty and interval uncertainty parameters into an equation of the multi-flexible body system model; building a system response agent model in a form of combining a chaos polynomial and a Chebyshev polynomial; adopting a flipping propagation algorithm to select and generate random variable sample points; combining a random response surface method with a generalized-alpha algorithm and an automatic differential method to process a chaos polynomial proxy model part, and using a scanning method to predict upper and lower boundaries of dynamic response of the hybrid uncertainty multi-flexible body system, so that high-efficiency dynamic prediction of the hybrid uncertainty multi-flexible body system is realized. The invention is applied to the fields of machinery, spaceflight, vehicles, robots and the like, and related uncertainty prediction and related engineering problems in the fields are solved.

Description

technical field [0001] The invention relates to an improved dynamics prediction method of a multi-flexible body system with mixed uncertainty, in particular to a method for predicting the dynamics response of a multi-flexible body system with both interval uncertainty and random uncertainty parameters, belonging to The field of mixed uncertainty multi-body system dynamics. Background technique [0002] One of the most important subsystems in the field of mechanical engineering is the multibody system. With the development of high technology, the requirements for technical indicators in engineering are getting higher and higher, especially high-precision, light-weight and flexible components are widely used in space manipulators, solar panels and so on. At present, most of the studies are focused on the dynamics of flexible multi-body systems with deterministic parameters, which is equivalent to oversimplifying the model and cannot correctly and objectively evaluate the real...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20G06F17/18G06F17/13G06F119/14
CPCG06F30/20G06F17/13G06F17/18G06F2119/14
Inventor 靳艳飞郭祥田强
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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