Model order reduction techniques : with applications in finite element analysis

Despite the continued rapid advance in computing speed and memory the increase in the complexity of models used by engineers persists in outpacing them. Even where there is access to the latest hardware, simulations are often extremely computationally intensive and time-consuming when full-blown models are under consideration. The need to reduce the computational cost involved when dealing with high-order/many-degree-of-freedom models can be offset by adroit computation. In this light, model-reduction methods have become a major goal of simulation and modeling research. Model reduction can also ameliorate problems in the correlation of widely used finite-element analyses and test analysis models produced by excessive system complexity. **Model Order Reduction Techniques** explains and compares such methods focusing mainly on recent work in dynamic condensation techniques: - Compares the effectiveness of static, exact, dynamic, SEREP and iterative-dynamic condensation techniques in producing valid reduced-order models; - Shows how frequency shifting and the number of degrees of freedom affect the desirability and accuracy of using dynamic condensation; - Answers the challenges involved in dealing with undamped and non-classically damped models; - Requires little more than first-engineering-degree mathematics and highlights important points with instructive examples. Academics working in research on structural dynamics, MEMS, vibration, finite elements and other computational methods in mechanical, aerospace and structural engineering will find **Model Order Reduction Techniques** of great interest while it is also an excellent resource for researchers working on commercial finite-element-related software such as ANSYS and Nastran. Front Matter....Pages i-xvi Introduction to Dynamic Model Reduction Techniques....Pages 1-11 Finite Element Modeling....Pages 13-30 Theory of Modal Analysis....Pages 31-46 Static Condensation....Pages 47-70 Dynamic Condensation....Pages 71-109 Iterative Methods for Dynamic Condensation....Pages 111-149 Selection of Master Degrees of Freedom....Pages 151-162 Dynamic Condensation of Nonclassically Damped Models....Pages 163-216 Application I: Model Reduction on System Level....Pages 217-253 Application II: Model Reduction on Component Level—Superelement Modeling Technique....Pages 255-294 Applications III: Modal Testing....Pages 295-312 Summary of Other Model Order Reduction Techniques....Pages 313-339 Back Matter....Pages 341-369 Introduction to Dynamic Model Order Reduction Techniques Finite Element Modeling Theory of Modal Analysis Static Condensation Dynamic Condensation Iterative Methods for Dynamic Condensation Selection of Master Degrees of Freedom Dynamic Condensation of Nonclassically Damped Models Application I: Model Reduction on System Level Application II: Model Reduction on Component Level - Superelement Modeling Technique Application III: Modal Testing Summary of Other Model Order Reduction Techniques. This monograph explains the principles and applications of model reduction techniques, and the dynamic condensation technique in particular. It covers all the potentially useful condensation methods including static, exact, and iterative dynamic condensation and SEREP