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An Improved Dynamic Prediction Method for Multi-Flexible Body Systems with Mixed Uncertainty

A system dynamics and uncertainty technology, applied in the field of hybrid uncertainty multi-flexible body system dynamics, can solve the problems of limited research methods, large amount of calculation, low computational efficiency, etc. The effect of improving forecast efficiency

Active Publication Date: 2022-07-01
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.

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  • An Improved Dynamic Prediction Method for Multi-Flexible Body Systems with Mixed Uncertainty
  • An Improved Dynamic Prediction Method for Multi-Flexible Body Systems with Mixed Uncertainty
  • An Improved Dynamic Prediction Method for Multi-Flexible Body Systems with Mixed Uncertainty

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Embodiment 1

[0077] refer to figure 1 , the improved dynamic prediction method for a multi-flexible body system with mixed uncertainty 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 order p, k of the Hermite and Chebyshev polynomials corresponding to the random and interval uncertainty, then the corresponding inner and outer layers The integration accuracy is 2p+1 and 2k+1, respectively.

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

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Abstract

The improved method for predicting the dynamics of a multi-flexible body system with mixed uncertainty disclosed in the invention belongs to the field of multi-flexible body system dynamics with mixed uncertainty. The realization method of the invention is as follows: establishing a definite differential-algebraic equation of the multi-flexible body system; introducing random uncertainty and interval uncertainty parameters into the equation of the multi-flexible body system model; using the chaotic polynomial to combine with the Chebyshev polynomial A proxy model for building system responses in the form of . The flip propagation algorithm is used to select and generate random variable sample points; the random response surface method is combined with the generalized-alpha algorithm and automatic differentiation method to deal with the part of the chaotic polynomial surrogate model, and the scanning method is used to predict the dynamic response of the mixed uncertainty multi-flexible body system. The upper and lower boundaries can be used to achieve high-efficiency prediction of mixed-uncertainty multi-flexible body system dynamics. The invention is applied to the fields of machinery, aerospace, vehicles, robots, etc., and solves the related uncertainty prediction and related engineering problems in the fields.

Description

technical field [0001] The invention relates to an improved dynamic prediction method for a multi-flexible body system with mixed uncertainty, in particular to a prediction method for the dynamic response of a multi-flexible body system with both interval uncertainty and random uncertainty parameters, belonging to The field of mixed-uncertainty multi-flexible body system dynamics. Background technique [0002] One of the most important subsystems in mechanical engineering is the multibody system. With the development of high and new technology, the requirements of 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 researches focus 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 respons...

Claims

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Application Information

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Patent Type & Authority Patents(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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