𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Model Order Reduction Techniques: with Applications in Finite Element Analysis

✍ Scribed by Zu-Qing Qu PhD (auth.)


Publisher
Springer-Verlag London
Year
2004
Tongue
English
Leaves
378
Edition
1
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


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.

✦ Table of Contents


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 Levelβ€”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

✦ Subjects


Applications of Mathematics; Computational Intelligence; Characterization and Evaluation of Materials; Simulation and Modeling; Structural Mechanics; Vibration, Dynamical Systems, Control


πŸ“œ SIMILAR VOLUMES


Model Order Reduction Techniques with Ap
✍ L. Fortuna, G. Nunnari, A. Gallo (auth.) πŸ“‚ Library πŸ“… 1992 πŸ› Springer-Verlag London 🌐 English

<p><B>Model Order Reduction Techniqes</B> focuses on model reduction problems with particular applications in electrical engineering. Starting with a clear outline of the technique and their wide methodological background, central topics are introduced including mathematical tools, physical processe

Troubleshooting Finite-Element Modeling
✍ Raphael Jean Boulbes πŸ“‚ Library πŸ“… 2020 πŸ› Springer International Publishing 🌐 English

<p><p>This book gives Abaqus users who make use of finite-element models in academic or practitioner-based research the in-depth program knowledge that allows them to debug a structural analysis model. The book provides many methods and guidelines for different analysis types and modes, that will he

Uncertain Analysis in Finite Elements Mo
✍ Wenhui Mo πŸ“‚ Library πŸ“… 2022 πŸ› Bentham Science Publishers 🌐 English

<span>This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading for

Material Modeling in Finite Element Anal
✍ Z. Yang πŸ“‚ Library πŸ“… 2020 πŸ› CRC Press 🌐 English

Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This book aims to provide the readers comprehensive views of various material models with practical examples, which would help readers understand various materials, and build appropriate material models in

Material Modeling in Finite Element Anal
✍ Z. Yang (Author) πŸ“‚ Library πŸ“… 2019 πŸ› CRC Press

<p>Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This book aims to provide the readers comprehensive views of various material models with practical examples, which would help readers understand various materials, and build appropriate material models

Uncertain Analysis in Finite Elements Mo
✍ Wenhui Mo πŸ“‚ Library πŸ“… 2022 πŸ› Bentham Science Publishers 🌐 English

<span>This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading for