
Advances in Applied Mechanics
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Content
- Front Cover
- Advances in Applied Mechanics, Volume 9
- Copyright Page
- Contents
- List of Contributors
- Preface
- Chapter 1. Hydrodynamic Stability of Parallel Flow of Inviscid Fluid
- I. Introduction
- II. Inertial Instability
- III. Waves and Stability of Plane Parallel Flow of Inviscid Fluid under the Actions of Various Force Fields
- IV. Heuristic Theory of Instability
- V. Instability of an Incompressible Fluid of Variable Density
- VI. Stability of Other Parallel Flows
- References
- Chapter 2. The Calculation of Free Oscillations of a Liquid in a Motionless Container
- I. Introduction
- II. Application of the Ritz Method to the Calculation of Natural Oscillations of a Liquid in Containers of Various Shapes
- Appendix: The Escalator Method for Solving the Equation Px = ?Qx
- Conclusion
- References
- Chapter 3. On Nonlinear Vibrations of Systems with Many Degrees of Freedom
- I. Introduction
- II. Admissible Systems and Motions
- III. The Trajectories in Configuration Space
- IV. General Description of the Geometrical Method
- V. Trajectories of Admissible Motion
- VI. Normal-Mode Vibrations of Nonlinear Systems
- VII. Properties of Motions with a Rest Point
- VIII. Special Autonomous Systems
- IX. The ateb-Functions
- X. Nonsimilar Normal-Mode Vibrations
- XI. Exact Solutions to Steady-State Forced Vibrations
- XII. Steady-State Forced Vibrations by Approximate Methods
- XIII. Stability
- Appendix: On the Existence of Simple Trajectories in Admissible n-Degree- of-Freedom Systems
- References
- Chapter 4. Fundamental Problems in Viscoplasticity
- I. Physical Foundations
- II. Constitutive Equations
- III. Stress Wave Propagation in an Elastic/Viscoplastic Medium
- IV. Quasi-Static Solutions
- V. Other Dynamical Problems
- References
- Author Index
- Subject Index
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