PARAMETRIC POD-BASED MODEL ORDER REDUCTION OF MULTIBODY SYSTEM DYNAMICS BASED ON THE ABSOLUTE NODAL COORDINATE FORMULATION

2021 ◽  
Author(s):  
Matheus Basílio Rodrigues Fernandes ◽  
Thiago de Paula Sales ◽  
Domingos Rade ◽  
Andre Fernando de Castro da Silva
Keyword(s):  
System Dynamics ◽  
Model Order Reduction ◽  
Multibody System ◽  
Absolute Nodal Coordinate Formulation ◽  
Order Reduction ◽  
Multibody System Dynamics ◽  
Model Order ◽  
Absolute Nodal Coordinate ◽  
The Absolute

Model-Order Reduction of Flexible Multibody Dynamics Via Free-Interface Component Mode Synthesis Method

2020 ◽  
Vol 15 (10) ◽  
Author(s):  
Qinglong Tian ◽  
Peng Lan ◽  
Zuqing Yu
Keyword(s):  
Model Order Reduction ◽  
Multibody System ◽  
Order Reduction ◽  
Motion Equation ◽  
Component Mode Synthesis ◽  
Flexible Multibody System ◽  
Model Order ◽  
Free Interface ◽  
Equilibrium Configurations ◽  
Flexible Multibody

Abstract A new method of model-order reduction for the flexible multibody system which undergoes large deformation and rotation is proposed. At first, the flexible multibody system is modeled by absolute nodal coordinate formulation (ANCF), and then, the whole motion process of the system is divided into a series of quasi-static equilibrium configurations according to a given criterion. Afterward, motion equation is locally linearized based on the Taylor expansion. Therefore, the constant tangent stiffness matrix is obtained and does not need to be updated until the next configuration. Based on the locally linearized motion equation, the free-interface component mode synthesis (CMS) method is adopted to reduce the degrees-of-freedom (DOF) of the flexible multibody system molded by ANCF. The generalized-α integrator is used to solve the reduced motion equation. To verify the accuracy and efficiency of the proposed method, three examples including a free-falling pendulum, a flexible spinning beam and a deployable sail arrays are presented. Results show that the proposed method is able to reduce the computing time and maintain high accuracy.

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

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