Flexible multi-body system dynamics semi-analytical sensitivity analysis method based on absolute node coordinate description

A technique for sensitivity analysis, multi-body systems, applied in the field of multi-body system dynamics optimization

Active Publication Date: 2020-05-15
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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  • Flexible multi-body system dynamics semi-analytical sensitivity analysis method based on absolute node coordinate description
  • Flexible multi-body system dynamics semi-analytical sensitivity analysis method based on absolute node coordinate description
  • Flexible multi-body system dynamics semi-analytical sensitivity analysis method based on absolute node coordinate description

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specific Embodiment approach

[0197] combine figure 1 , the specific embodiment of the present invention is as follows:

[0198] The implementation mode is based on the absolute node coordinate modeling method for describing the flexible multi-body system and the dynamic theory of the flexible multi-body system, which can be used for the analysis of the dynamics sensitivity of the flexible multi-body system, and is specifically implemented according to the following steps:

[0199] 1. Based on the absolute node coordinate method, the mass matrix M of the flexible multi-body system unit is derived e , stiffness matrix K e and generalized force array Q ge and Q ke .

[0200] 2. Based on the flexible multi-body system dynamics theory, on the basis of step 1, establish the dynamic equation of the flexible multi-body system. The specific steps are:

[0201] (1) Give the size parameters of the flexible multi-body system, the number of division units and unit material information;

[0202] (2) Give the in...

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Abstract

The invention relates to the technical field of dynamics system optimization, and provides a flexible multi-body system dynamics semi-analytical sensitivity analysis method based on absolute node coordinate description. The method comprises the following steps: firstly, establishing a mass matrix, a rigidity matrix and a generalized force array of the flexible multi-body system based on an absolute node coordinate method; secondly, establishing a kinetic equation and an optimization objective function of the flexible multi-body system; thirdly, based on a direct differential method or an adjoint variable method, establishing a semi-analytical sensitivity calculation formula of the flexible multi-body system dynamics; and finally, solving the dynamic differential algebraic equation of the flexible multi-body system to obtain a sensitivity calculation result. The method is based on an absolute node coordinate method and a multi-body system dynamics theory. A semi-analytical sensitivity calculation formula of the flexible multi-body system is established to solve the sensitivity analysis problem of dynamics of the flexible multi-body system, a set of new strategy for sensitivity analysis of the flexible multi-body system is provided, and convenience is provided for sensitivity calculation of the large-scale complex flexible multi-body system.

Description

technical field [0001] The invention belongs to the technical field of multi-body system dynamics optimization, and relates to a sensitivity analysis method for flexible multi-body system dynamics, in particular to a semi-analytic sensitivity analysis method for flexible multi-body system dynamics based on absolute node coordinate description. Background technique [0002] In recent years, multibody system dynamics and its optimization analysis have played an increasingly important role in the fields of aerospace, machinery, and automobiles. If gradient-based optimization algorithm is used for optimal design of multi-body system dynamics, sensitivity analysis of multi-body system is required. Sensitivity analysis can not only be used to determine the iterative direction of some optimization algorithms, but also can characterize the degree of influence of design variables on the objective function, so that the optimization efficiency can be improved by reducing the number of ...

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Application Information

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Patent Type & Authority Applications(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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