Methodology for the Efficient Analysis of Thermal and Thermo-Elastic Behaviour of Machine Tools

2014 ◽  
Vol 1018 ◽  
pp. 395-402 ◽  
Author(s):  
Knut Großmann ◽  
Alexander Galant ◽  
Marcel Merx ◽  
Mirko Riedel
Keyword(s):  
Finite Element ◽  
Machine Tools ◽  
Order Reduction ◽  
Computational Effort ◽  
Elastic Behaviour ◽  
Limiting Factor ◽  
Finite Element Models ◽  
Model Matching ◽  
Thermally Induced ◽  
Improve Model

Thermally induced deviations become the limiting factor for the precision of machine tools. Structure-based finite-element models of high resolution can estimate these deviations with high accuracy but have also a high computational effort. With model order reduction (MOR) these models can be converted into structure-preserving reduced-order finite-element models (FEM-MOR-models) which can be solved very efficiently in MATLAB/Simulink®. To improve model matching selective thermography is used. Selective thermography is a measurement method providing high structural resolution and minimal instrumentation expense due to the use of thermography and photogrammetric methods.

scholarly journals Model order reduction of linear peridynamic systems using static condensation

2020 ◽  
pp. 108128652093704
Author(s):  
Yakubu Kasimu Galadima ◽  
Erkan Oterkus ◽  
Selda Oterkus
Keyword(s):  
Model Order Reduction ◽  
Computational Models ◽  
Order Reduction ◽  
Nonlocal Theory ◽  
Computational Effort ◽  
Finite Element Models ◽  
Reduction Algorithm ◽  
Discontinuous System ◽  
Model Order ◽  
Static Condensation

Static condensation is widely used as a model order reduction technique to reduce the computational effort and complexity of classical continuum-based computational models, such as finite-element models. Peridynamic theory is a nonlocal theory developed primarily to overcome the shortcoming of classical continuum-based models in handling discontinuous system responses. In this study, a model order reduction algorithm is developed based on the static condensation technique to reduce the order of peridynamic models. Numerical examples are considered to demonstrate the robustness of the proposed reduction algorithm in reproducing the static and dynamic response and the eigenresponse of the full peridynamic models.

AUTOMATIC ORDER REDUCTION FOR FINITE ELEMENT MODELS

2005 ◽  
Author(s):  
ANDREAS GREINER ◽  
JAN LIENEMANN ◽  
EVGENII RUDNYI ◽  
JAN G. KORVINK ◽  
LORENZA FERRARIO ◽  
...  
Keyword(s):  
Finite Element ◽  
Order Reduction ◽  
Finite Element Models

scholarly journals Comparison of structural model reduction methods applied to a large-deformation wing box

2021 ◽  
pp. 1-23
Author(s):  
R.R. Medeiros ◽  
C.E.S. Cesnik ◽  
O. Stodieck ◽  
D.E. Calderon ◽  
J.E. Cooper ◽  
...  
Keyword(s):  
Finite Element ◽  
Structural Model ◽  
Structural Response ◽  
Order Reduction ◽  
Element Model ◽  
Computational Effort ◽  
Beam Model ◽  
Wing Structures ◽  
Reduction Methods ◽  
Geometrical Effects

Abstract In this paper, the accuracy and practical capabilities of three different reduced-order models (ROMs) are explored: an enhanced implicit condensation and expansion (EnICE) model, a finite element beam model, and a finite volume beam model are compared for their capability to accurately predict the nonlinear structural response of geometrically nonlinear built-up wing structures. This work briefly outlines the different order reduction methods, highlighting the associated assumptions and computational effort. The ROMs are then used to calculate the wing deflection for different representative load cases and these results are compared with the global finite element model (GFEM) predictions when possible. Overall, the ROMs are found to be able to capture the nonlinear GFEM behaviour accurately, but differences are noticed at very large displacements and rotations due to local geometrical effects.

Sign in / Sign up

Export Citation Format

Share Document