A model reduction approach for real-time part deformation with nonlinear mechanical behavior

被引：0

作者：

Dulong, Jean-Luc ^{[1
]}

Druesne, Frederic ^{[1
]}

Villon, Pierre ^{[1
]}

机构：

[1] Univ Technol Compigne, Roberval Lab, CNRS FRE 2833, BP 20319, F-60206 Compiegne, France

来源：

INTERNATIONAL JOURNAL OF INTERACTIVE DESIGN AND MANUFACTURING - IJIDEM | 2007年 / 1卷 / 04期

关键词：

Virtual prototype; Real-time deformation; Nonlinear mechanical model; Model reduction; Enrichment method;

D O I：

10.1007/s12008-007-0028-y

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Interaction, in real time, between a designer and a virtual prototype is a promising way to optimize the parts design in mechanical industries. These interactions can induce deformation of some flexible parts of the prototype. The analysis in real time of nonlinear mechanical model by finite element method (FEM) is impossible. Our approach is based on two phases: 1-some load cases, characteristic of possible handlings, are precalculated; 2-results of this campaign are interpolated during the real-time immersion. This paper compares 4 approaches to calculate a reduced result of the campaign as fast as possible: an a posteriori reduction, an a priori enrichment method, an a priori enrichment-reduction and the hyperreduction.

引用

页码：229 / 238

页数：10

共 50 条

[31] Model reduction of a class of nonlinear systems: a convex-optimization approach [J].

Ibrir, S. ;

Bettayeb, M. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2014, 31 (04) :519-531

[32] A subspace approach to balanced truncation for model reduction of nonlinear control systems [J].

Lall, S ;

Marsden, JE ;

Glavaski, S .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2002, 12 (06) :519-535

[33] Real-time deformation of human soft tissues: A radial basis meshless 3D model based on Marquardt's algorithm [J].

Zhou, Jianyong ;

Luo, Zu ;

Li, Chunquan ;

Deng, Mi .

COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE, 2018, 153 :237-252

[34] Reduced Thermal Model of an Induction Machine for Real-Time Thermal Monitoring [J].

Jaljal, Nawal ;

Trigeol, Jean-Francois ;

Lagonotte, Patrick .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2008, 55 (10) :3535-3542

[35] Real-time deformation of structure using finite element and Neural networks in virtual reality applications [J].

Hambli, Ridha ;

Chamekh, Abdessalam ;

Salah, Hedi Bel Hadj .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2006, 42 (11) :985-991

[36] Real-time inverse crack tracking in uncertain microstructures using PGD-based model reduction and extended Kalman filtering [J].

Pulikkathodi, Afsal ;

Lacazedieu, Elisabeth ;

Chamoin, Ludovic .

COMPUTATIONAL MECHANICS, 2023, 71 (02) :311-332

[37] Real-time inverse crack tracking in uncertain microstructures using PGD-based model reduction and extended Kalman filtering [J].

Afsal Pulikkathodi ;

Elisabeth Lacazedieu ;

Ludovic Chamoin .

Computational Mechanics, 2023, 71 :311-332

[38] Adaptation of the MAST passive current simulation model for real-time plasma control [J].

McArdle, G. J. ;

Taylor, D. .

FUSION ENGINEERING AND DESIGN, 2008, 83 (2-3) :188-192

[39] A Reduced-order Model for Real-time NMPC of Ethanol Steam Reformers [J].

Reyero, Pedro ;

Yu, Xinwei ;

Ocampo-Martinez, Carlos ;

Braatz, Richard D. .

IFAC PAPERSONLINE, 2021, 54 (03) :103-108

[40] A two-step model reduction approach for mechanical systems with moving loads [J].

Stykel, Tatjana ;

Vasilyev, Alexander .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 297 :85-97

← 1 2 3 4 5 →