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The dynamics of bodies containing fluids is a subject of long-standing im portance in many technical applications. The stability of motion of such bodies, in particular, has been the subject of study by Soviet engineers and applied mathematicians who have brought their fuH powers of analysis to bear on the problem, and have succeeded in developing a very weH-founded body of theory. It is difficult to find a more striking example anywhere of the application of the classical methods of analytical mechanics, together with more modern concepts of stability analysis, in such a comprehensive and elegent form as that presented by Profs. Moiseyev and Rumyantsev. Therefore, it is highly significant that this recent monograph has been trans lated and made available to the English-speaking community. H. NORMAN ABRAMSON San Antonio July, 1967 v Foreword During the last 15-20 years, problems of dynamics of rigid bodies with fluid-filled cavities have increasingly attracted the attention of scientists.
List of contents
One. Dynamics and Stability of Rigid Bodies Containing a Fluid.- 1. Equations of Motion of a Rigid Body with Fluid Containing Cavities.- 2. Elementary Cases of Motion of a Rigid Body Containing a Fluid.- 3. Stability of Motion with Respect to a Part of the Variables of a Rigid Body with Cavities Partially Filled with a Fluid.- 4. Stability of Steady Motion of Rigid Bodies with Fluid-Filled Cavities.- Two. Vibrations of a Fluid and of the Body Containing the Fluid.- 5. Statement of the Problems of the Theory of Vibrations.- 6. General Properties of Equations of Vibrations of Bodies Containing a Fluid.- 7. Fluid Surface Phenomena and Their Effect on the Motion of a Body Containing a Fluid.- Appendix. Formulating the Problem of the Motion of a Fluid Subjected to Gravity Forces and Surface Tension Forces.- 8. Vibrations of a Viscous Fluid and of a Body Containing a Viscous Fluid.- Editor's Supplement to the References.- References.
