scholarly journals MODEL ORDER REDUCTION METHODS FOR COUPLED MACHINE TOOL MODELS

2021 ◽  
Vol 2021 (3) ◽  
pp. 4652-4659
Author(s):  
J. Vettermann ◽  
◽  
S. Sauerzapf ◽  
A. Naumann ◽  
M. Beitelschmidt ◽  
...  
Keyword(s):  
Thermal Effects ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Work Piece ◽  
Model Accuracy ◽  
Model Order ◽  
Thermally Induced ◽  
Promising Strategy ◽  
Reduction Methods ◽  
Direct Contrast

Thermal effects are the most dominant source for displacements in machine tools and thus work-piece inaccuracies during the manufacturing process. A promising strategy to meet the ever-increasing accuracy requirements is the use of predictive models for, e.g., parameter and design op-timizations or online correction of the thermally induced error at the tool center point (TCP) in the pro-duction process. However, these techniques require fast but precise simulations. The need for high model accuracy is in direct contrast to the desired real-time capabilities. Model order reduction (MOR) is an attractive tool to overcome this problem. A modeling toolchain, which is tailored for the effective construction of fast and accurate models is proposed and demonstrated, emphasizing the involved MOR step.

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.

scholarly journals Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models

2018 ◽  
Vol 51 (3) ◽  
pp. 465-483 ◽  
Author(s):  
Peter Benner ◽  
Roland Herzog ◽  
Norman Lang ◽  
Ilka Riedel ◽  
Jens Saak
Keyword(s):  
Model Order Reduction ◽  
Sensor Placement ◽  
Order Reduction ◽  
Optimal Sensor Placement ◽  
Model Order ◽  
Reduction Methods

Recent Advances in Computational Methods for Microsystems

2013 ◽  
Vol 745 ◽  
pp. 13-25 ◽  
Author(s):  
Alberto Corigliano ◽  
Martino Dossi ◽  
Stefano Mariani
Keyword(s):  
Model Order Reduction ◽  
Computing Time ◽  
Order Reduction ◽  
Orthogonal Decomposition ◽  
Coupled Problems ◽  
Strong Reduction ◽  
Model Order ◽  
Solution Strategies ◽  
Reduction Methods ◽  
Proper Orthogonal

An algorithm, which combines the use of Domain Decomposition and Model Order Reduction methods based on Proper Orthogonal Decomposition, is proposed. The algorithm allows for the efficient handling of electro-mechanical coupled problems in MEMS, with a strong reduction of computing time with respect to standard monolithic or staggered solution strategies. Examples of coupled electro-mechanical problems, concerning a vibrating beam subject to variable electrostatic forces, are presented and discussed.

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