E-Book, Englisch, 448 Seiten
Svetlitsky Dynamics of Rods
2005
ISBN: 978-3-540-26490-3
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 448 Seiten
Reihe: Foundations of Engineering Mechanics
ISBN: 978-3-540-26490-3
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
This is the first and only monograph on this subject, and provides a systematic presentation of theoretical fundamentals of the mechanics of rods as well as numerical methods used for practical purposes. Includes problems and solutions for self-study.
Weitere Infos & Material
1;Preface;5
2;Table of Contents;6
3;Introduction;12
4;1. Kinematics;20
4.1;1.1 Basic Relationships;20
4.2;1.2 Kinematic Equations;30
5;2. General Equations of Motion;36
5.1;2.1 Nonlinear Equations of Motion;36
5.2;2.2 Equations of Motion of a Rod Relative to Equilibrium Configuration;53
5.3;2.3 Equations of Motion of a Rod with Concentrated Masses;55
5.4;2.4 Equations of Stationary Motion of a Rod;57
6;3. Small Vibrations of Space-Curved Rods;68
6.1;3.1 Equations of Small Vibrations;70
6.2;3.2 Equations of Small Vibrations of a Rod About its Natural Configuration;80
6.3;3.3 Equations of Small Vibrations of a Rotating Rod;86
6.4;3.4 Small Vibrations About a Stationary Motion;89
6.5;3.5 Problems;94
7;4. Determination of Eigenvalues and Eigenfunctions;98
7.1;4.1 Determination of Eigenvalues (Eigenfrequences) in Conservative Problems;99
7.2;4.2 Determination of Eigenvalues in Nonconservative Problems;126
7.3;4.3 Eigenfunctions (Eigenvectors);131
7.4;4.4 Approximate Methods for Determination of Eigenvalues;137
8;5. Free and Forced Small Vibrations;152
8.1;5.1 Free Vibrations;152
8.2;5.2 Exact Numerical Solution;155
8.3;5.3 Approximate Solution of the Equations of Small Vibrations;158
8.4;5.4 Small Vibrations of a Rod Due to an Impulsive Loading;161
8.5;5.6 Steady-state Vibrations of a Rod Under Kinematic Excitation;171
8.6;5.7 Unsteady Forced Vibrations;179
8.7;5.8 Problems;179
9;6. Random Vibrations;182
9.1;6.1 Equations of Small Random Vibrations of Rods;184
9.2;6.2 Basic Notions of the Statistical Dynamics;186
9.3;6.3 Stationary Random Vibrations;194
9.4;6.4 Nonstationary Random Vibrations;204
10;7. Straight Rods;210
10.1;7.1 Equations of Small Vibrations;210
10.2;7.2 Determination of Frequencies and Vibration Modes;227
10.3;7.3 Small Vibrations About a Stationary Motion;243
10.4;7.4 Free Vibrations of a Rotating Rod;251
10.5;7.6 Random Vibrations;273
10.6;7.7 Parametric Vibrations;276
10.7;7.8 Stability of Straight Rods Loaded by Follower Forces;291
10.8;7.9 Problems;313
11;8. Dynamics of Rods Interacting with Airflow or Liquid Flow;318
11.1;8.1 Aerodynamic Forces on a Rod Moving in a Flow;322
11.2;8.2 Aerodynamic Forces on a Rod of Circular Cross Section Under Small Oscillations;337
11.3;8.3 Aerodynamic Forces Due to Small Oscillations for a Rod of Non-Circular Symmetrical Cross Section;340
11.4;8.4 Equations of Small Oscillations of a Rod in an Airflow or Liquid Flow;349
11.5;8.5 Nonstationary Vibrations of "Rigid" Wires of Power Lines under Action of Aerodynamic Forces;359
12;9. Rods Exerted by an Internal Flow of Liquid;400
12.1;9.1 Nonlinear Equations of Motion for a Space-Curved Pipeline;401
12.2;9.2 Small Vibrations of a Space-Curved Pipeline;405
12.3;9.3 Determination of Eigenvalues;410
12.4;9.4 Parametric Vibrations of a Pipeline;416
13;A. Elements of Some Matrixes;422
13.1;A.I Elements of the Matrixes N(1) and N(2);422
13.2;A.2 Elements of the Matrixes P(1) and P(2);424
13.3;A.3 Elements of the Matrixes M(1) and M(2);426
14;B. Solution of the Problems;428
14.1;B.I To Chapter 3;428
14.2;B.2 To Chapter 5;433
14.3;B.3 To Chapter 7;439
15;Index;458
