Muutke küpsiste eelistusi

Model Order Reduction Techniques with Applications in Finite Element Analysis 2004 ed. [Kõva köide]

  • Formaat: Hardback, 369 pages, kõrgus x laius: 235x155 mm, kaal: 719 g, 123 Illustrations, black and white; XVI, 369 p. 123 illus., 1 Hardback
  • Ilmumisaeg: 09-Sep-2004
  • Kirjastus: Springer London Ltd
  • ISBN-10: 1852338075
  • ISBN-13: 9781852338077
Teised raamatud teemal:
  • Kõva köide
  • Hind: 155,24 €*
  • * hind on lõplik, st. muud allahindlused enam ei rakendu
  • Tavahind: 182,64 €
  • Säästad 15%
  • Raamatu kohalejõudmiseks kirjastusest kulub orienteeruvalt 2-4 nädalat
  • Kogus:
  • Lisa ostukorvi
  • Tasuta tarne
  • Tellimisaeg 2-4 nädalat
  • Lisa soovinimekirja
  • Formaat: Hardback, 369 pages, kõrgus x laius: 235x155 mm, kaal: 719 g, 123 Illustrations, black and white; XVI, 369 p. 123 illus., 1 Hardback
  • Ilmumisaeg: 09-Sep-2004
  • Kirjastus: Springer London Ltd
  • ISBN-10: 1852338075
  • ISBN-13: 9781852338077
Teised raamatud teemal:
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.

Arvustused

From the reviews:









"The subject of the book under review is a detailed treatment of various aspects of condensation . The book written in engineering style will be of great benefit for those readers who have to treat numerically large structural systems resulting from discretisation of continuous systems. Various examples from structural engineering are presented to support the understanding. The book is competently written, and its reading is highly recommended to everybody interested in condensation." (Hans Troger, Zentralblatt MATH, Vol. 1074, 2005)



There is great interest in the development of model-reduction techniques, which contain the highest degree of the full model. this book is devoted to dynamic condensation methods. This book contains many numerical examples to illustrate the techniques described. The book is clearly written and contains a wealth of information on this subject. useful as a reference tool for researchers, as an educational text for graduate students, and as a guide for engineers wishing to get acquainted with these techniques. (Maurice Petyt, International Journal of Acoustics and Vibration, Vol. 14 (1), 2009)

Introduction to Dynamic Model Reduction Techniques
1(12)
Model Order Reduction Techniques
1(2)
Physical Coordinate Reduction
2(1)
Generalized Coordinate Reduction
2(1)
Hybrid Reduction
3(1)
Dynamic Condensation Technique
3(6)
Guyan Condensation
3(1)
Single-Mode, Multimode, and Response-Dependent Dynamic Condensation
4(2)
Physical-Type, Modal-Type, and Hybrid Dynamic Condensation
6(1)
Single-Step, Two-Step, and Iterative Dynamic Condensation
7(1)
Undamped and Damped Dynamic Condensation
8(1)
Organization of This Monograph
9(4)
References
10(3)
Finite Element Modeling
13(18)
Finite Element Method in General Form
13(10)
Fundamental Definitions
13(2)
Stress and Strain
15(3)
Strain-and Stress-Displacement Relationships
18(1)
Virtual Work Principle
18(3)
Dynamic Equations of Motion
21(2)
General Steps of Finite Element Modeling
23(3)
Discretization and Selection of Element Types
23(1)
Selection of Displacement Function
24(1)
Determination of Relationships Between Stresses, Strains, and Nodal Displacements
24(1)
Derivation of Element Matrices and Equations
24(1)
Coordinate Transformation
25(1)
Assemblage of Element Equations
25(1)
Solution of Equations
26(1)
Use of Symmetry
26(5)
Modal Analysis
26(2)
Dynamic Response Analysis
28(2)
References
30(1)
Theory of Modal Analysis
31(16)
Modal Theory of Undamped Systems
31(5)
Undamped Free Vibration and Eigenvalue Problem
31(1)
Modal Orthogonality and Normal Coordinates
32(2)
Mode Superposition
34(2)
Power Series Expansion of Dynamic Flexible Matrix
36(1)
Modal Theory of Proportionally Damped Systems
37(1)
Modal Theory of Nonclassically Damped Systems
38(7)
Dynamic Equations of Motion in the State Space
38(2)
Free Vibration and Eigenvalue Problem
40(2)
Complex Mode Orthogonality
42(3)
Complex Mode Superposition
45(1)
Summary
45(2)
References
45(2)
Static Condensation
47(24)
Guyan Condensation for Static Problems
47(5)
Definitions of Reduced Static Model
47(2)
Guass--Jordan Elimination
49(1)
Numerical Demonstrations
50(2)
Guyan Condensation for Dynamic Problems
52(4)
Definitions of the Reduced Dynamic Model
52(1)
Condensation of Massless Coordinates
53(1)
Numerical Demonstrations
54(2)
Guyan Condensation for Eigenproblems
56(6)
Definitions of Reduced Eigenproblems
56(1)
Mode Expansion
57(1)
Numerical Demonstrations
58(4)
Generalized Guyan Condensation
62(2)
Quasistatic Condensation
64(3)
Static Condensation Using the Flexibility Matrix
67(1)
Summary
68(3)
References
69(2)
Dynamic Condensation
71(40)
Exact Condensation
71(8)
Direct Back-Substitution
71(3)
Coordinate Transformation
74(1)
Power Series Expansion of Dynamic Flexible Matrix
75(2)
State Space Method for High-Order Eigenproblem
77(2)
Classical Dynamic Condensation
79(1)
Further Discussions on Guyan Condensation
80(4)
Valid Frequency Range of Guyan Condensation
80(2)
Higher-Order Guyan Condensation
82(1)
Error Analysis of Guyan Condensation
83(1)
Dynamic Substructuring Scheme
84(2)
Solution Schemes for Nonlinear Eigenproblems
86(10)
Iterative Scheme I
87(2)
Iterative Scheme II
89(1)
Iterative Scheme III
90(2)
Numerical Demonstrations
92(3)
Some Improvements
95(1)
Modal-Type Dynamic Condensation
96(8)
Dynamic Condensation Matrix
96(4)
Reduced System Matrices
100(2)
Reduced Eigenvalue Problem
102(1)
Hybrid-Type Condensation
103(1)
Comparisons and Summary
104(7)
References
108(3)
Iterative Methods for Dynamic Condensation
111(40)
Introduction
111(3)
Two-Step Methods
114(5)
Common Inverse
114(1)
Generalized Inverse
115(2)
Numerical Demonstrations
117(2)
Governing Equations of Dynamic Condensation Matrix
119(6)
Single-Mode-Dependent Condensation
119(1)
Multimode-Dependent Condensation
120(3)
Response-Dependent Condensation
123(1)
Comments on These Definitions
124(1)
Iterative Schemes for Dynamic Condensation Matrix
125(7)
Iterative Scheme I
126(1)
Iterative Scheme II
127(1)
Numerical Demonstrations
128(3)
Further Comments
131(1)
Generalized Iterative Method
132(2)
Governing Equation of the Dynamic Condensation Matrix
132(1)
Numerical Demonstrations
132(2)
Iterative Method Using Subspace Iteration
134(9)
Subspace Iteration Method
135(1)
Governing Equation of Dynamic Condensation Matrix
136(1)
Solution Schemes for Dynamic Condensation Matrix
137(1)
Proof of Convergence
138(2)
Numerical Demonstrations
140(3)
Frequency Shift Technique
143(4)
Governing Equation of Dynamic Condensation Matrix
143(1)
Selection of Frequency Shift Value
144(1)
Numerical Demonstrations
145(2)
Summary
147(4)
References
148(3)
Selection of Master Degrees of Freedom
151(12)
Physical-Type Condensation
151(4)
Qualitative Guidelines
152(1)
Quantitative Algorithms
152(3)
Modal-Type Condensation
155(2)
Selection of Masters
155(1)
Assessment of Completeness
156(1)
Other Considerations
157(2)
Symmetry
157(2)
Practicality
159(1)
Number of Master Degrees of Freedom
159(1)
Summary
160(3)
References
161(2)
Dynamic Condensation of Nonclassically Damped Models
163(54)
Introduction
163(2)
Static Condensation
165(13)
Static Condensation in Displacement Space (SCDS)
165(2)
Static Condensation in State Space I---SCSS(I)
167(2)
Static Condensation in State Space II---SCSS(II)
169(1)
Comparisons of These Methods
170(3)
Numerical Demonstrations
173(5)
Dynamic Condensation Methods in Displacement Space
178(3)
Condensation with Damping
178(2)
Condensation Without Damping
180(1)
Numerical Demonstrations
180(1)
Modal-Type Condensation Method
181(4)
Dynamic Condensation Matrix
181(2)
Conversion of Complex Operation into Real Operation
183(2)
Iterative Methods in State Space (I)
185(5)
Governing Equations of the Dynamic Condensation Matrix
185(3)
Iterative Scheme
188(1)
Models with an Unsymmetric Matrix
188(2)
Iterative Methods in State Space (II)
190(1)
Iterative Methods in State Space (III)
191(12)
Governing Equations of Dynamic Condensation Matrix
191(4)
Numerical Demonstrations
195(8)
Iterative Method Using Subspace Iteration in State Space
203(12)
Subspace Iteration Method for Complex Eigenproblems
203(1)
Governing Equations of Dynamic Condensation Matrix
204(2)
Iterative Schemes
206(3)
Discussion on the Convergence
209(1)
Numerical Demonstrations
210(5)
Summary
215(2)
References
216(1)
Application I: Model Reduction on System Level
217(38)
Introduction
217(2)
Active Vibration Control
219(10)
Introduction
219(2)
Full Order Control
221(3)
Reduced Order Control
224(1)
Numerical Simulations
225(4)
Finite Element Modeling of Smart Structures
229(14)
Introduction
229(1)
Theory of Laminated Composite Plates
230(4)
Theory of Sensors and Actuators
234(3)
Finite Element Formulations and Reduction
237(3)
Numerical Demonstrations
240(3)
Structural Systems with Local Nonlinearities
243(7)
Introduction
243(1)
Model Reduction
244(2)
Numerical Demonstrations
246(4)
Summary
250(5)
References
251(4)
Application II: Model Reduction on Component Level---Superelement Modeling Technique
255(40)
Introduction
255(2)
Concepts of Superelement Modeling
257(5)
Static Superelement
262(10)
Construction of a Superelement
262(2)
Beam Superelement
264(3)
Higher-Order Element
267(2)
Frame Superelement
269(3)
Exact Superelement
272(4)
Dynamic Superelement
276(6)
Theory of Dynamic Superelement Modeling
276(2)
Rigid Modes of Superelement
278(4)
Modeling of Compound Systems with Local Nonlinearities
282(6)
Linear Compound Systems
282(2)
Compound Systems with Local Nonlinearities
284(4)
Multilevel Superelement
288(1)
Global--Local and Multiscale Analyses
289(3)
Summary
292(3)
References
293(2)
Applications III: Modal Testing
295(18)
Introduction
295(2)
Selection of Measurement Locations
297(1)
Test-Analysis Model Correlation
298(8)
Accuracy and Robustness of TAM
298(2)
TAM Mass Matrix
300(6)
Mode Expansion and Data Recovery
306(4)
Summary
310(3)
References
311(2)
Summary of Other Model Order Reduction Techniques
313(28)
Modal Coordinate Reduction
313(3)
Low-Frequency Reduction
314(2)
Middle-Frequency Reduction
316(1)
Ritz Vector Methods
316(5)
Introduction
316(2)
Static Ritz Vector Methods
318(1)
Quasistatic Ritz Vector Methods
319(2)
Component Mode Synthesis
321(9)
Fixed Interface Methods
322(3)
Craig--Bampton TAM
325(2)
Free Interface Methods
327(3)
Proper Orthogonal Decomposition
330(2)
Balanced Realization Reduction
332(2)
Condensation Model Reduction
334(7)
References
337(4)
Bibliography 341(22)
Index 363