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A semi-analytical sensitivity analysis method for dynamics of flexible multibody systems

A sensitivity analysis and multi-body system technology, applied in the field of multi-body system dynamics optimization, to achieve the effect of overcoming the difficulty of solving, high calculation efficiency, and simple program implementation process

Active Publication Date: 2021-09-24
DALIAN UNIV OF TECH
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Problems solved by technology

Based on the absolute node coordinate method, this method establishes the dynamic model of the flexible multi-body system to solve the problem of sensitivity analysis of the flexible multi-body system. Sensitivity calculations for multi-body systems are facilitated

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  • A semi-analytical sensitivity analysis method for dynamics of flexible multibody systems
  • A semi-analytical sensitivity analysis method for dynamics of flexible multibody systems
  • A semi-analytical sensitivity analysis method for dynamics of flexible multibody systems

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specific Embodiment approach

[0197] Combine figure 1 The specific embodiments of the present invention are as follows:

[0198] Embodiments Based on the absolute node coordinate modeling method and flexible polygoridal dynamics theory describing the flexible multi-body system, it can be used in the analysis of flexible polygorphous dynamics sensitivity issues, and the following steps are implemented:

[0199] First, based on the absolute node coordinate method, the mass matrix M of the flexible multi-body system is derived. e , Stiffness matrix K e And General Enlish Qi Q ge Sum ke .

[0200] Second, based on flexible multi-body dynamics theory, based on step 1, the kinetic equation of flexible multi-body system is established. The specific steps are:

[0201] (1) The dimensional parameters of the flexible multi-body system, the number of division units and unit material information are given;

[0202] (2) Given the initial state information of the flexible polygon, including initial position, initial speed, ...

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Abstract

The invention relates to the technical field of dynamic system optimization, and proposes a semi-analytical sensitivity analysis method for flexible multi-body system dynamics based on absolute node coordinate description. First, based on the absolute nodal coordinate method, the mass matrix, stiffness matrix and generalized force array of the flexible multi-body system are established; secondly, the dynamic equations of the flexible multi-body system and the optimization objective function are established; thirdly, based on the direct differential method or accompanying variable The semi-analytic sensitivity calculation formula of the flexible multi-body system dynamics is established by using the method; finally, the differential algebraic equation of the flexible multi-body system dynamics is solved to obtain the sensitivity calculation results. According to the absolute node coordinate method and the multi-body system dynamics theory, the present invention establishes a semi-analytical sensitivity calculation formula of the flexible multi-body system to solve the sensitivity analysis problem of the flexible multi-body system dynamics, and aims to provide a set of flexible multi-body system sensitivity A new strategy for analysis that facilitates sensitivity calculations for large-scale complex flexible multibody systems.

Description

Technical field [0001] The invention belongs to the field of multi-body dynamics optimization, and it is related to a sensitivity analysis method of flexible polygorphous dynamics, and more particularly to a flexible polygorphous dynamics semi-analytical sensitivity analysis method based on absolute node coordinates. Background technique [0002] In recent years, multi-body dynamics and optimization analysis have played an increasingly important role in aerospace, machinery, automobiles. If a gradient-based optimization algorithm is used, multi-system dynamics is used, the sensitivity analysis of the multi-body system is required. Sensitivity analysis can not only determine the iterative direction of partial optimization algorithms, but also characterize the degree of impact of design variables to target functions, so that the optimization efficiency can be improved by reducing the number of design variables. Therefore, the sensitivity analysis of multi-body dynamics has become t...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/13G06F30/23
CPCG06F17/13
Inventor 彭海军张孟茹宋宁宁陈飙松
Owner DALIAN UNIV OF TECH
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