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Table of Contents
Intro
Preface
Monographs of N. Kh. Harutyunyan
Contents
Contributors
1 On One Non-classical 3D Problem for a Layered Package of Isotropic Plate and the Problem of Earthquakes Prediction
1.1 Introduction
1.2 Solution of 3D Quasistatic Problems
1.3 Investigation of Fast Dynamic Processes
1.4 Conclusions
References
2 Diffraction of Plane Waves in an Elastic Half-Plane Enhanced Along Its Boundary by a Semi-infinite Stringer
2.1 Introduction
2.2 Statement of the Problem
2.3 Influence Function
2.4 Solution of the Contact Problem
2.5 Determination of the Radiated Wave Field
2.6 Numerical Analysis
2.7 Conclusion
References
3 Analysis of Equivalence Conditions of Model of an Inhomogeneous Elastic Half-Space and Model of an Inhomogeneous Elastic Layer on the Elastic Foundation
3.1 Introduction
3.2 Statement of the Contact Problem on the Shear of the Surface of an Inhomogeneous Half-Space
3.3 Models of an Inhomogeneous Half-Space
3.4 Integral Equations of Contact Problems and Solution Methods
3.5 Numerical Analysis
3.6 Conclusion
References
4 Docking of Inhomogeneous Surfaces of Piezoelectric Layers in a Composite Waveguide as a Harvesters of Wave Energy
4.1 Introduction
4.2 Modeling of a Two-Layer Piezoelectric Waveguide, Taking into Account the Roughness of the Surfaces of the Constituent Layers
4.3 Formulation of a Mathematical Boundary Value Problem in a Three-Layer Sandwich with a Thin Inhomogeneous Filling
4.4 Solution of the Mathematical Boundary Problem
4.5 Conclusion
References
5 About One Approach in Prevention of the Emerging Dangerous Phenomena Caused by the Existence of Defect in Continuous Media
5.1 Introduction
5.2 Formulation of the Problem
5.3 Eigenfunction Method in the Plane Problem of Vertical Vibrations for a Plate with a New Type Crack
5.4 Numerical Implementation Results
5.5 Conclusion
References
6 Stress-Strain State of a Magnetoelastic Ferromagnetic Plane with a Crack Under the Action of a Magnetic Field
6.1 Introduction
6.2 Statement of the Problem
6.3 Solution of the Problem in the Case of a Constant Transverse Magnetic Field
6.4 Solution of the Problem
6.5 Coefficients of Intensity of Magnetoelastic Stresses and Induced Magnetic Field
6.6 Occurrence of Concentrations of Magnetoelastic Stresses Due to Longitudinal Shear Due to the Orientation of the External Magnetic Field
References
7 The Effect of Longitudinal Oscillations Resonance on Stability and Domains of Attraction in the Generalized Kapitsa Problem
7.1 Introduction
7.2 Model of a Compressed Pendulum. Complete Nonlinear System of Equations
7.3 Averaged Motion Equation of the Pendulum
7.4 Stability Conditions for the Upper Equilibrium Position
7.5 Oscillation Stability Zone
7.6 Conclusion
References
Preface
Monographs of N. Kh. Harutyunyan
Contents
Contributors
1 On One Non-classical 3D Problem for a Layered Package of Isotropic Plate and the Problem of Earthquakes Prediction
1.1 Introduction
1.2 Solution of 3D Quasistatic Problems
1.3 Investigation of Fast Dynamic Processes
1.4 Conclusions
References
2 Diffraction of Plane Waves in an Elastic Half-Plane Enhanced Along Its Boundary by a Semi-infinite Stringer
2.1 Introduction
2.2 Statement of the Problem
2.3 Influence Function
2.4 Solution of the Contact Problem
2.5 Determination of the Radiated Wave Field
2.6 Numerical Analysis
2.7 Conclusion
References
3 Analysis of Equivalence Conditions of Model of an Inhomogeneous Elastic Half-Space and Model of an Inhomogeneous Elastic Layer on the Elastic Foundation
3.1 Introduction
3.2 Statement of the Contact Problem on the Shear of the Surface of an Inhomogeneous Half-Space
3.3 Models of an Inhomogeneous Half-Space
3.4 Integral Equations of Contact Problems and Solution Methods
3.5 Numerical Analysis
3.6 Conclusion
References
4 Docking of Inhomogeneous Surfaces of Piezoelectric Layers in a Composite Waveguide as a Harvesters of Wave Energy
4.1 Introduction
4.2 Modeling of a Two-Layer Piezoelectric Waveguide, Taking into Account the Roughness of the Surfaces of the Constituent Layers
4.3 Formulation of a Mathematical Boundary Value Problem in a Three-Layer Sandwich with a Thin Inhomogeneous Filling
4.4 Solution of the Mathematical Boundary Problem
4.5 Conclusion
References
5 About One Approach in Prevention of the Emerging Dangerous Phenomena Caused by the Existence of Defect in Continuous Media
5.1 Introduction
5.2 Formulation of the Problem
5.3 Eigenfunction Method in the Plane Problem of Vertical Vibrations for a Plate with a New Type Crack
5.4 Numerical Implementation Results
5.5 Conclusion
References
6 Stress-Strain State of a Magnetoelastic Ferromagnetic Plane with a Crack Under the Action of a Magnetic Field
6.1 Introduction
6.2 Statement of the Problem
6.3 Solution of the Problem in the Case of a Constant Transverse Magnetic Field
6.4 Solution of the Problem
6.5 Coefficients of Intensity of Magnetoelastic Stresses and Induced Magnetic Field
6.6 Occurrence of Concentrations of Magnetoelastic Stresses Due to Longitudinal Shear Due to the Orientation of the External Magnetic Field
References
7 The Effect of Longitudinal Oscillations Resonance on Stability and Domains of Attraction in the Generalized Kapitsa Problem
7.1 Introduction
7.2 Model of a Compressed Pendulum. Complete Nonlinear System of Equations
7.3 Averaged Motion Equation of the Pendulum
7.4 Stability Conditions for the Upper Equilibrium Position
7.5 Oscillation Stability Zone
7.6 Conclusion
References