Finite element multidisciplinary analysis

Title:

Personal Author:

Gupta, Kajal K.

Series:

AIAA education series

Publication Information:

Reston, VA : American Institute of Aeronautics and Astronautics, 2003

ISBN:

9781563475801

Subject Term:

Finite element method

Added Author:

Meek, J. L.

Available:*

Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010127282	TA347.F5 G86 2003	Open Access Book	Book	Searching... Unknown
Searching... PSZ KL	30000010145197	TA347.F5 G86 2003	Open Access Book	Book	Searching... Unknown

This addresses the challenges and developments in multidisciplinary analysis. Current developments include disciplines of structural mechanics, heat transfer, fluid mechanics, controls engineering and propulsion technology, and their interaction as encountered in many practical problems in aeronautical, aerospace, and mechanical engineering, among others. These topics are reflected in the 15 chapter titles of the book. Numerical problems are provided to illustrate the applicability of the techniques. Exercises may be solved either manually or by using suitable computer software. A version of the multidisciplinary analysis program STARS is available from the author. Academics and practicing engineers alike will find it invaluable for solving full-scale practical problems.

Author Notes

Dr. Gupta is currently employed at NASA Dryden Flight Research Center, involved in numerical modeling, simulations, and testing of flight test vehicles that include the X-29A, F-18 SRA, and the Hyper-X
Dr. Meek is Professor Emeritus, Civil Engineering, at the University of Queensland

Reviews 1

Choice Review

Gupta is a highly respected practitioner involved in development of a NASA multidisciplinary finite element program; Meek is a similarly acknowledged academic and author of a very early matrix analysis book with strong finite element content. Their book treats the full spectrum of structural finite element analyses that might be encountered in practice; this includes static and dynamic situations as well as linear and nonlinear cases. The development of various components of the finite element method are very focused and concisely carried out. Inexperienced analysts will find the book's brevity disconcerting. Several comprehensive books on finite element techniques cover the same basic development material; these include J. S. Przemieniecki's Theory of Matrix Structural Analysis (1968) and Klaus-J"urgen Bathe's Finite Element Procedures in Engineering Analysis (1982). The multidisciplinary aspects of the book under review focus on high performance aircraft and hypersonic vehicle design. Chapters address linear computational and computational fluid dynamics (CFD)-based aeroelasticity and aeroservoelasticity. The graphics and equation presentation is good but does have some omissions. Good bibliography. A useful work for libraries serving the aerospace industry. Graduate students and up. W. C. Schnobrich; University of Illinois at Urbana-Champaign

Preface to the Second Edition	p. xiii
Preface to the First Edition	p. xv
Nomenclature	p. xix
Chapter 1. Introduction	p. 1
1.1 Introduction	p. 1
1.2 Areas of Analysis	p. 2
1.3 Methods of Analysis	p. 5
1.4 Computer Software	p. 9
1.5 Brief History of the Finite Element Method	p. 10
1.6 Concluding Remarks	p. 12
References	p. 13
Chapter 2. Finite Element Discretization of Physical Systems	p. 15
2.1 Introduction	p. 15
2.2 Finite Element Solutions	p. 16
2.3 Application of the Galerkin Method	p. 18
2.4 Concluding Remarks	p. 23
References	p. 23
Chapter 3. Structural Mechanics--Basic Theory	p. 25
3.1 Introduction	p. 25
3.2 Modeling of Material Behavior	p. 25
3.3 Finite Element Formulation Based on the Stationary Functional Method	p. 34
3.4 Concluding Remarks	p. 37
References	p. 37
Chapter 4. Structural Mechanics--Finite Elements	p. 39
4.1 Introduction	p. 39
4.2 One-Dimensional Line Elements	p. 39
4.3 Two-Dimensional Plane Elements	p. 47
4.4 Three-Dimensional Solid Elements	p. 63
4.5 Isoparametric Quadrilateral and Hexahedron Elements	p. 72
4.6 Torsion of Prismatic Shafts	p. 78
4.7 Plate Bending Elements	p. 84
4.8 Shell Elements	p. 88
4.9 Numerical Examples	p. 99
4.10 Concluding Remarks	p. 101
References	p. 101
Chapter 5. Spinning Structures	p. 105
5.1 Introduction	p. 105
5.2 Derivation of Equation of Motion	p. 105
5.3 Derivation of Nodal Centrifugal Forces	p. 107
5.4 Derivation of Element Matrices	p. 113
5.5 Numerical Examples	p. 119
5.6 Concluding Remarks	p. 121
References	p. 123
Chapter 6. Dynamic Element Method	p. 125
6.1 Introduction	p. 125
6.2 Bar Element	p. 127
6.3 Beam Element	p. 129
6.4 Rectangular Prestressed Membrane Element	p. 130
6.5 Plane Triangular Element	p. 135
6.6 Shell Element	p. 139
6.7 Numerical Examples	p. 141
6.8 Concluding Remarks	p. 144
References	p. 145
Chapter 7. Generation of System Matrices	p. 147
7.1 Introduction	p. 147
7.2 Coordinate Systems and Transformations	p. 147
7.3 Matrix Assembly	p. 151
7.4 Imposition of Deflection Boundary Conditions	p. 152
7.5 Matrix Bandwidth Minimization	p. 154
7.6 Sparse Matrix Storage Schemes	p. 157
7.7 Concluding Remarks	p. 158
References	p. 158
Chapter 8. Solution of System Equations	p. 161
8.1 Introduction	p. 161
8.2 Formulation and Solution of System Equation	p. 161
8.3 Sparse Cholesky Factorization	p. 168
8.4 Concluding Remarks	p. 192
References	p. 193
Chapter 9. Eigenvalue Problems	p. 195
9.1 Introduction	p. 195
9.2 Free Vibration Analysis of Undamped Nonspinning Structures	p. 195
9.3 Free Vibration Analysis of Spinning Structures	p. 206
9.4 Quadratic Matrix Eigenvalue Problem for Free Vibration Analysis	p. 216
9.5 Structural Stability Problems	p. 221
9.6 Vibration of Prestressed Structures	p. 221
9.7 Vibration of Damped Structural Systems	p. 222
9.8 Solution of Damped Free Vibration Problem	p. 224
9.9 Concluding Remarks	p. 228
References	p. 228
Chapter 10. Dynamic Response of Elastic Structures	p. 231
10.1 Introduction	p. 231
10.2 Method of Modal Superposition	p. 231
10.3 Direct Integration Methods	p. 238
10.4 Frequency Response Method	p. 241
10.5 Response to Random Excitation	p. 243
10.6 Numerical Examples	p. 245
References	p. 249
Chapter 11. Nonlinear Analysis	p. 251
11.1 Introduction	p. 251
11.2 Geometric Nonlinearity	p. 251
11.3 Material Nonlinearity	p. 253
11.4 Numerical Examples	p. 255
References	p. 261
Chapter 12. Stress Computations and Optimization	p. 263
12.1 Introduction	p. 263
12.2 Line Elements	p. 263
12.3 Triangular Shell Elements	p. 264
12.4 Solid Elements	p. 265
12.5 Optimization	p. 267
12.6 Examples of Applications of Optimization	p. 271
References	p. 274
Chapter 13. Heat Transfer Analysis of Solids	p. 277
13.1 Introduction	p. 277
13.2 Heat Conduction	p. 277
13.3 Solution of System Equations	p. 281
13.4 Numerical Examples	p. 285
13.5 Coupled Heat Transfer and Structural Analysis	p. 289
References	p. 292
Chapter 14. Computational Linear Aeroelasticity and Aeroservoelasticity	p. 295
14.1 Introduction	p. 295
14.2 Formulation of Numerical Procedure	p. 296
14.3 Numerical Example	p. 303
14.4 Concluding Remarks	p. 305
References	p. 310
Chapter 15. CFD-Based Aeroelasticity and Aeroservoelasticity	p. 311
15.1 Introduction	p. 311
15.2 Computational Fluid Dynamics	p. 312
15.3 Time-Marched Aeroelastic and Aeroservoelastic Analysis	p. 332
15.4 ARMA Model in Aeroelastic and Aeroservoelastic Analysis	p. 337
15.5 Numerical Examples	p. 347
15.6 Concluding Remarks	p. 362
References	p. 363
Appendix. Exercises	p. 367
Index	p. 401
Education Series Listing	p. 419

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