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Computational Techniques of Rotor Dynamics with the Finite Element Method [Kõva köide]

(Siemens, Cypress, California, USA), (AeroFEM GmbH, Beckenried, Switzerland)
  • Formaat: Hardback, 296 pages, kõrgus x laius: 234x156 mm, kaal: 566 g, 3 Tables, black and white; 210 Illustrations, black and white
  • Sari: Computational Techniques of Engineering
  • Ilmumisaeg: 13-Mar-2012
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1439847703
  • ISBN-13: 9781439847701
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  • Formaat: Hardback, 296 pages, kõrgus x laius: 234x156 mm, kaal: 566 g, 3 Tables, black and white; 210 Illustrations, black and white
  • Sari: Computational Techniques of Engineering
  • Ilmumisaeg: 13-Mar-2012
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1439847703
  • ISBN-13: 9781439847701
For more than a century, we have had a firm grasp on rotor dynamics involving rigid bodies with regular shapes, such as cylinders and shafts. However, to achieve an equally solid understanding of the rotational behavior of flexible bodiesespecially those with irregular shapes, such as propeller and turbine bladeswe require more modern tools and methods.

Computational Techniques of Rotor Dynamics with the Finite Element Method explores the application of practical finite element method (FEM)-based computational techniques and state-of-the-art engineering software. These are used to simulate behavior of rotational structures that enable the function of various types of machineryfrom generators and wind turbines to airplane engines and propellers.

The books first section focuses on the theoretical foundation of rotor dynamics, and the second concentrates on the engineering analysis of rotating structures. The authors explain techniques used in the modeling and computation of the forces involved in the rotational phenomenon. They then demonstrate how to interpret and apply the results to improve fidelity and performance.

Coverage includes:





Use of FEM to achieve the most accurate computational simulation of all gyroscopic forces occurring in rotational structures Details of highly efficient and accurate computational and numerical techniques for dynamic simulations Interpretation of computational results, which is instrumental to developing stable rotating machinery Practical application examples of rotational structures dynamic response to external and internal excitations An FEM case study that illustrates the computational complexities associated with modeling and computation of forces of rotor dynamics Assessment of propellers and turbines that are critical to the transportation and energy industries

Useful to practicing engineers and graduate-level students alike, this self-contained volume also serves as an invaluable reference for researchers and instructors in this field.

CRC Press Authors Speak

Louis Komzsik introduces you to two books that share a common mathematical foundation, the finite element analysis technique. Watch the video.

Arvustused

Aeronautical engineers Vollan and Komzsik have worked in many companies designing rotors that blow wind or that wind turns and have cooperated on several projects over the past quarter century. From that collaboration, they explain how to apply modern analysis tools such as finite elements to the rotational behavior of flexible bodies SciTech News, Vol. 66, September 2012

Preface ix
Acknowledgments xi
About the Authors xiii
Part I Theoretical Foundation of Rotor Dynamics
1 Introduction to Rotational Physics
3(28)
1.1 Fixed Coordinate System
3(2)
1.2 Rotating Coordinate System
5(1)
1.3 Forces in the Rotating System
6(1)
1.4 Transformation between Coordinate Systems
7(3)
1.5 Kinetic Energy Due to Translational Displacement
10(2)
1.6 Kinetic Energy Due to Rotational Displacement
12(5)
1.7 Equation of Motion in Rotating Coordinate System
17(6)
1.8 Equation of Motion in the Fixed Coordinate System
23(8)
2 Coupled Solution Formulations
31(18)
2.1 Matrix Formulation of Lagrange's Equations
31(1)
2.2 Coupling Nodal Translations to the Stationary Part
32(3)
2.3 Simultaneous Coupling of Translations and Rotations
35(3)
2.4 Full Coupling of the Stationary and Rotating Parts
38(6)
2.5 Time-Dependent Terms of Equations
44(5)
3 Finite Element Analysis of Rotating Structures
49(18)
3.1 Potential Energy of Structure
50(2)
3.2 Dissipative Forces
52(5)
3.3 Nondissipative Forces
57(1)
3.4 Finite Element Equation Assembly
58(1)
3.5 Coupled Equilibrium Equation Assembly
59(3)
3.6 Analysis Equilibrium Equations
62(5)
4 Computational Solution Techniques
67(16)
4.1 Direct Time Domain Solution of the Equilibrium Equation
67(2)
4.2 Direct Frequency Domain Solution
69(1)
4.3 Direct Free Vibration Solution
70(3)
4.4 Modal Solution Technique
73(4)
4.5 Static Condensation
77(2)
4.6 Dynamic Reduction
79(4)
5 Numerical Solution Techniques
83(16)
5.1 The Lanczos Method
83(4)
5.2 Orthogonal Factorization
87(1)
5.3 The Block Lanczos Method
88(2)
5.4 Solution of Periodic Equations
90(9)
Part II Engineering Analysis of Rotating Structures
6 Resonances and Instabilities
99(32)
6.1 Analysis Type vs. Modeling Approach
99(1)
6.2 Resonances and Instabilities
100(2)
6.3 Critical Speed of Rotating Mass
102(3)
6.4 The Laval Rotor
105(3)
6.5 Influence of Damping
108(2)
6.6 Unsymmetric Effects of Bearing and Rotor
110(3)
6.7 A Rotating Tube
113(5)
6.8 Rotating Model with Flexible Arms
118(7)
6.9 The Ground Resonance
125(6)
7 Dynamic Response Analysis
131(18)
7.1 Frequency Response without Rotation
131(4)
7.2 Frequency Response with Rotation
135(4)
7.3 Transient Response without Rotation
139(5)
7.4 Transient Response with Rotation
144(5)
8 A Finite Element Case Study
149(22)
8.1 Turbine Wheel with Shaft and Blades
149(2)
8.2 Engineering Analysis
151(2)
8.3 Computational Statistics
153(4)
8.4 The Journal Bearing
157(9)
8.5 Active External Loads
166(5)
9 Analysis of Aircraft Propellers
171(32)
9.1 A Propeller Blade
171(8)
9.2 Quasi-steady Aerodynamics of Blade
179(7)
9.3 Unsteady Aerodynamics of Blade
186(7)
9.4 Propeller with Four Blades
193(10)
10 Analysis of Wind Turbines
203(64)
10.1 An Example Wind Turbine
203(1)
10.2 Modeling and Analysis of Wind Turbine Blade
204(22)
10.3 Wind Turbine with Three Blades
226(17)
10.4 Response Analysis of Wind Turbines
243(13)
10.5 Horizontal Axis Wind Turbines with Two Blades
256(11)
Appendix 267(4)
References 271(2)
Index 273
Arne Vollan studied aeronautical engineering at the Technical University of Trondheim (Norway) and Aachen (Germany), and holds the degree Diplom Ingenieur. He was employed by several aeronautical companies such as VFW-Fokker (now Airbus), Helicopter Technik Muenchen, Dornier, Nationaal Lucht- en Ruimtevaartlaboratorium, and Pilatus Aircraft as a dynamic and aeroelastic specialist. He was also a consultant and developed programs for the analysis of rotating structures like wind turbines and propellers. Since 2002 he has been working at AeroFEM GmbH in Switzerland on rotor dynamics and the aeroelasticity of aircraft and large wind turbines.

Louis Komzsik is a graduate of the Technical University of Budapest with an engineering degree and the Eötvös University of Sciences in Budapest with a mathematics degree, and he holds a Doctorate from the Technical University of Budapest, Hungary. He was employed by the Hungarian Shipyards from 1972 to 1980 and worked at the McDonnell-Douglas Corporation in 1981 and 1982. He was the chief numerical analyst at the MacNeal-Schwendler (now MSC Software) Corporation for two decades. Since 2003 he has been the chief numerical analyst at Siemens PLM Software. For the past 30 years he has been the architect of the modern numerical methods of NASTRAN, the worlds leading finite element analysis tool in structural engineering.