DAEs and PDEs in elastic multibody systems

被引：0

作者：

B. Simeon

机构：

[1] Fachbereich Mathematik,

[2] TU Darmstadt,undefined

[3] Schloßgartenstraße 7,undefined

来源：

Numerical Algorithms | 1998年 / 19卷

关键词：

DAEs; elastic multibody systems; numerical simulation; slider crank; 65L05; 70-08;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Elastic multibody systems arise in the simulation of vehicles, robots, air- and spacecrafts. They feature a mixed structure with differential-algebraic equations (DAEs) governing the gross motion and partial differential equations (PDEs) describing the elastic deformation of particular bodies. We introduce a general modelling framework for this new application field and discuss numerical simulation techniques from several points of view. Due to different time scales, singular perturbation theory and model reduction play an important role. A slider crank mechanism with a 2D FE grid for the elastic connecting rod illustrates the techniques.

引用

下载

页码：235 / 246

页数：11

共 50 条

[21] Analysis of nonlinear multibody systems with elastic couplings
Bauchau, OA
Hodges, DH
MULTIBODY SYSTEM DYNAMICS, 1999, 3 (02) : 163 - 188
[22] METHOD OF MODEL REDUCTION FOR ELASTIC MULTIBODY SYSTEMS
Makhavikou, V.
Kasper, R.
Vlasenko, D.
11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV, 2014, : 475 - 486
[23] Analysis of Nonlinear Multibody Systems with Elastic Couplings
Olivier A. Bauchau
Dewey H. Hodges
Multibody System Dynamics, 1999, 3 : 163 - 188
[24] DAEs arising from traveling wave solutions of PDEs II
Marszalek, W
Campbell, SL
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (01) : 15 - 34
[25] A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems
Benhammouda, Brahim
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2022, 2022
[26] Spatial Formulation of Elastic Multibody Systems with Impulsive Constraints
Y.A. Khulief
Multibody System Dynamics, 2000, 4 : 383 - 406
[27] ON THE NUMERICAL TREATMENT OF ELASTIC IMPACT MOTION IN MULTIBODY SYSTEMS
OSTERMEYER, GP
INGENIEUR ARCHIV, 1988, 58 (01): : 67 - 79
[28] DYNAMIC SIMULATION OF ELASTIC MULTIBODY SYSTEMS WITH KINETIC DISKS
WEI, HM
WITTENBURG, J
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1992, 72 (04): : T56 - T59
[29] NUMERICAL-INTEGRATION OF NONLINEAR ELASTIC MULTIBODY SYSTEMS
BAUCHAU, OA
DAMILANO, G
THERON, NJ
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (16) : 2727 - 2751
[30] Order reduction of stiff solvers at elastic multibody systems
Simeon, B
APPLIED NUMERICAL MATHEMATICS, 1998, 28 (2-4) : 459 - 475

← 1 2 3 4 5 →