|
Part I Interaction of Elastic Conducting Plates and Shells with Magnetic Fields |
|
|
|
1 Governing Equations and Relations of Magnetoelasticity of Conducting Bodies |
|
|
3 | (24) |
|
|
|
3 | (7) |
|
1.2 Description of the Strained State |
|
|
10 | (2) |
|
1.3 Governing Equations and Relations of Electrodynamics of Moving Media |
|
|
12 | (3) |
|
|
|
15 | (2) |
|
1.5 Boundary and Initial Conditions |
|
|
17 | (2) |
|
1.6 Equations and Boundary Conditions of Perturbed State and Their Linearization |
|
|
19 | (8) |
|
2 Main Equations and Relations of Magnetoelasticity of Thin Plates and Shells |
|
|
27 | (50) |
|
2.1 Two-Dimensional Equations of Magnetoelasticity of Thin Conducting Plates |
|
|
27 | (16) |
|
2.1.1 Finitely Conducting Plates |
|
|
27 | (12) |
|
2.1.2 Perfectly Conducting Plates |
|
|
39 | (4) |
|
2.2 Two-Dimensional Equations of Magnetoelasticity of Thin Conducting Shells |
|
|
43 | (4) |
|
2.3 Reduction of the Three-Dimensional Problem of Magnetoelasticity of Thin Plates to the Two-Dimensional One |
|
|
47 | (7) |
|
2.4 Reduction of the Three-Dimensional Problem of Magnetoelasticity of Cylindrical Shells to the Two-Dimensional One |
|
|
54 | (7) |
|
2.5 Two-Dimensional Equations of Magnetoelasticity of Thin Spherical Shells |
|
|
61 | (3) |
|
2.6 Influence of the Induced Electromagnetic Field in Problems of Vibrations of Conducting Plates in Transversal Magnetic Field |
|
|
64 | (7) |
|
2.7 Two-Dimensional Equations of Magnetoelasticity of Perfectly Conducting Plates |
|
|
71 | (6) |
|
3 Natural Magnetoelastic Vibrations of Conducting Plates |
|
|
77 | (32) |
|
3.1 Problems of Weak Interaction: Vibrations in a Transversal Magnetic Field |
|
|
77 | (8) |
|
3.1.1 Solution on the Basis of Hypothesis of Magnetoelasticity of Thin Bodies |
|
|
77 | (4) |
|
3.1.2 Solutions Taking into Account an Effect of the Electromagnetic Field |
|
|
81 | (4) |
|
3.2 Problems of Strong Interaction: Vibrations of Electroconducting Plate-Strip in a Longitudinal Magnetic Field |
|
|
85 | (8) |
|
3.3 Investigation of Magnetoelastic Vibrations of Perfectly Conducting Rectangular Plates Using the Asymptotic Method |
|
|
93 | (9) |
|
3.4 Investigation of Magnetoelastic Vibrations of Conducting Rectangular Plates by the Asymptotic Method |
|
|
102 | (7) |
|
4 Natural Vibrations of Conducting Shells in a Stationary Magnetic Field |
|
|
109 | (22) |
|
4.1 Vibrations of Closed Cylindrical Shell in a Longitudinal Magnetic Field (Strong Interaction) |
|
|
109 | (8) |
|
4.2 Vibrations of Cylindrical Panel in a Magnetic Field of Constant Current Flowing Along the Axis of the Cylinder (Strong Interaction) |
|
|
117 | (4) |
|
4.3 Vibrations of Conducting Cylindrical Panel in a Homogeneous Magnetic Field (Relatively Weak Interaction) |
|
|
121 | (4) |
|
4.4 Vibrations of a Spherical Shell in a Radial Magnetic Field (Weak Interaction) |
|
|
125 | (6) |
|
5 Control and Generation of Resonant Vibrations of the Parametric Type |
|
|
131 | (32) |
|
5.1 Elimination of the Possibility of Parametric Resonance by Way of a Stationary Magnetic Field |
|
|
131 | (21) |
|
5.1.1 Plate in a Transversal Constant Magnetic Field |
|
|
131 | (4) |
|
5.1.2 Plate in a Longitudinal Constant Magnetic Field |
|
|
135 | (3) |
|
5.1.3 Cylindrical Shell in a Constant Magnetic Field |
|
|
138 | (8) |
|
5.1.4 Cylindrical Shell in an Azimuthal Magnetic Field |
|
|
146 | (6) |
|
5.2 Generation of Resonant Vibrations of the Parametric Type with the Help of a Nonstationary Magnetic Field |
|
|
152 | (11) |
|
5.2.1 Parametric Vibrations of a Perfectly Conducting Plate Conditioned by a Nonstationary Magnetic Field |
|
|
152 | (3) |
|
5.2.2 Parametric Vibrations of Conducting Cylindrical Shell with the Help of a Nonstationary Magnetic Field |
|
|
155 | (8) |
|
6 Control of Forced Vibrations |
|
|
163 | (28) |
|
6.1 Forced Magnetoelastic Vibrations of Conducting Plates Conditioned by a Time-Periodic Force |
|
|
164 | (10) |
|
6.1.1 Plate in a Longitudinal Magnetic Field |
|
|
164 | (6) |
|
6.1.2 Plate in a Transversal Magnetic Field |
|
|
170 | (4) |
|
6.2 Generation of Forced Vibrations with the Help of a Nonstationary Magnetic Field |
|
|
174 | (9) |
|
6.2.1 Perfectly Conducting Plate |
|
|
178 | (1) |
|
6.2.2 Plate with Finite Conductivity |
|
|
179 | (4) |
|
6.3 Experimental Investigation of Forced and Parametric Vibrations of Conducting Plates Under the Action of a Time-Harmonic Magnetic Field |
|
|
183 | (8) |
|
Part II Interaction of Elastic Superconducting Plates and Shells with Magnetic Fields |
|
|
|
7 Main Equations and Relations of Magnetoelastic Vibrations and the Stability of a Superconducting Body |
|
|
191 | (6) |
|
7.1 Formulation of the Problem of Vibrations |
|
|
191 | (3) |
|
7.2 Formulation of the Problem of Stability |
|
|
194 | (3) |
|
|
|
197 | (50) |
|
8.1 Equations of Vibrations and Stability of Superconducting Plates in a Magnetic Field |
|
|
197 | (8) |
|
8.1.1 Two-Dimensional Equations of Magnetoelastic Vibrations |
|
|
197 | (2) |
|
8.1.2 Two-Dimensional Equations of Magnetoelastic Stability |
|
|
199 | (5) |
|
8.1.3 Numerical Solution of the Problem of Natural Magnetoelastic Vibrations |
|
|
204 | (1) |
|
8.2 Bending and Vibrations of Superconducting Parallel Plates in a Longitudinal Magnetic Field |
|
|
205 | (8) |
|
8.2.1 Governing Equations |
|
|
205 | (4) |
|
|
|
209 | (2) |
|
8.2.3 Problem of Vibrations |
|
|
211 | (2) |
|
8.3 Noncontact Method of Generation of Resonant Vibrations of Superconducting Plates |
|
|
213 | (12) |
|
8.3.1 Noncontact Generation of Forced Vibrations |
|
|
213 | (4) |
|
8.3.2 Noncontact Generation of Parametric Vibrations |
|
|
217 | (2) |
|
8.3.3 The Case of One Plate Compressed by the Longitudinal Force P(T) |
|
|
219 | (4) |
|
8.3.4 The Case of Two Identical Plates |
|
|
223 | (2) |
|
8.4 Control of Forced Vibrations with the Help of a Magnetic Field |
|
|
225 | (5) |
|
8.5 Loss of Static Stability Under the Influence of a Constant Magnetic Field |
|
|
230 | (13) |
|
8.5.1 Plate in a Longitudinal Magnetic Field |
|
|
230 | (1) |
|
8.5.2 Plate in a Transversal Magnetic Field |
|
|
231 | (4) |
|
8.5.3 Numerical Solution of the Neumann Problem Outside the Rectangle |
|
|
235 | (4) |
|
8.5.4 Calculation of Components H0 and h of the Magnetic Field |
|
|
239 | (4) |
|
8.6 Loss of Dynamic Stability Under the Influence of a Time-Periodic Magnetic Field |
|
|
243 | (4) |
|
9 Superconducting Cylindrical Shells |
|
|
247 | (34) |
|
9.1 Basic Equations. Formulation of the Problem of Stability |
|
|
247 | (2) |
|
|
|
249 | (12) |
|
9.2.1 Instability Under the Influence of a Longitudinal Magnetic Field |
|
|
249 | (4) |
|
9.2.2 Instability Under the Action of a Uniform Magnetic Field |
|
|
253 | (8) |
|
|
|
261 | (7) |
|
9.3.1 Parametric Vibrations of a Superconducting Cylindrical Shell Conditioned by a Magnetic Field of Nonstationery Current |
|
|
261 | (4) |
|
9.3.2 Parametric Vibrations of a Superconducting Cylindrical Shell Conditioned by a Nonstationery Longitudinal Magnetic Field |
|
|
265 | (3) |
|
9.4 Stability in the Flow of Conducting Liquids |
|
|
268 | (13) |
| References |
|
281 | |
Lisainfo e-raamatute kohta