Transient Aerohydroelasticity of Spherical Bodies

1. Front Matter

   Pages I-IX

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2. Basic Theory of Transient Aerohydroelasticity of Spherical Bodies

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 1-36

3. Radial Vibrations of Media with Spherical Interfaces

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 37-106

4. Diffraction of Waves by Elastic Spherical Bodies

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 107-149

5. Axially Symmetric Vibrations of Elastic Media Having a Spherical Cavity or a Stiff Inclusion

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 151-179

6. Diffraction of Plane (Spherical) Waves by a Spherical Barrier Supported by a Thin-Walled Shell

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 181-207

7. Translational Motion of a Sphere in Elastic and Acoustic Media

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 209-232

8. Penetration of Spherical Bodies into a Fluid Half-Space

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 233-258

9. Spherical Waves in Media with Complicated Properties

   • Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

   Pages 259-266

10. Back Matter

    Pages 267-292

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The problems of transient interaction of deformable bodies with surrounding media are of great practical and theoretical importance. When solving the problems of this kind, the main difficulty is in the necessity to integrate jointly the system of equations which describe motion of the body and the system of equations which describe motion of the medium under the boundary conditions predetermined at the unknown (movable) curvilinear interfaces. At that, the position of these interfaces should be determined as part of the solution process. That is why, the known exact solutions in this area of mechanics of continuum have been derived mainly for the cases of idealized rigid bodies. Different aspects of the problems of transient interaction of bodies and structures with continuum (derivation of the efficient mathematical mod­ els for the phenomenon, development of the theoretical and experimental methods to be used for study of the transient problems of mechanics, etc.) were considered in the books by S.U. Galiev, A.N. Guz, V.D. Kubenko, V.B. Poruchikov, L.L Slepyan, A.S. Volmir, and Yu.S. Yakovlev. The results presented by these authors make interest when solving a great variety of problems and show a necessity of joint usage of the results obtained in differ­ ent areas: aerohydrodynamics, theory of elasticity and plasticity, mechanics of soils, theory of shells and plates, applied and computational mathemat­ ics, etc.

• applied mechanics
• mechanics
• shells
• technische Mechanik
• vibration
• wave equation
• fluid- and aerodynamics

• Dept. of Applied Mechanics, Moscow Aviation Institute, Moscow, Russia

  Anatoly G. Gorshkov, Dmitry V. Tarlakovsky

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