ModelReduction.com

Discussion group for model reduction: http://groups.google.com/group/mor4ansys. You can subscribe on-line or by sending a dummy e-mail to mor4ansys-subscribe@googlegroups.com.

Book Fast Simulation of Electro-Thermal MEMS: Efficient Dynamic Compact Models. Book at Amazon or Springer.

Teaching Model Reduction

Current Courses

Model Reduction for Finite Element Models

The seminar can be done either in German or in English as well. Its content in English is below. It is also possible to organise such a seminar at your company. Please contact me for details.

Model Reduction for Finite Element Models: Applications, Methods and Tools

For linear dynamic systems new methods allow to start with a high dimensional finite element model and automatically generate a compact model that has much smaller dimension but still preserves dynamic response of the original model quite accurately. Emphasis of the course is on practical applications of model reduction to power electronics, piezoelectric actuators, RF-resonators, and acoustic models, including fluid-structure interactions.

Course plan:

• Some basics of control theory (a short review of the essential facts);
• Gramian-based model reduction;
• Implicit moment matching via Arnoldi and Lancsoz;
• Application to electrothermal models (power electronics);
• Application to electromechanical models (RF-resonators);
• Application to piezoelectric models (active control);
• Application to acoustic models with fluid-structure interaction (NVH: noise, vibration and harshness);
• Advanced: parametric and nonlinear model reduction.

Nowadays finite element modelling enjoys widespread use in engineering. When a static solution is enough, with modern hardware one can obtain quite accurate results for reasonable time. However, when it comes to transient or harmonic response simulation the computational time becomes too long. Especially this concerns the case when the goal is to make joint simulation of a device with driving circuitry. Model reduction allows us to overcome this problem.

The goal of the course is to introduce the new methods and present software MOR for ANSYS that implements them.

Extracting System Matrices from ANSYS

• Interaction between ANSYS Workbench, ANSYS Classics, and APDL
• Starting ANSYS Classics from command line
• EMAT and FULL file
• Writing FULL file
• Reading matrices from FULL file
• The structure of the FULL file
• Obtaining system matrices for a system of the first order
• Obtaining system matrices for a system of the second order
• Dealing with inputs and outputs
• Tangent stiffness matrix in ANSYS
• Linearization through prestressed analysis
• Linearizing a nonlinear thermal problem
• Linearizing a nonlinear magnetic problem

Previous Courses

Eurosime 2006: Automatic Compact Modelling for MEMS: Applications, Methods and Tools