Dynamic Stability of Bodies Containing Fluid

1. Front Matter

   Pages i-xv

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2. Dynamics and Stability of Rigid Bodies Containing a Fluid

   1. Front Matter

      Pages 1-1

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   2. Equations of Motion of a Rigid Body with Fluid-Containing Cavities

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 3-41

   3. Elementary Cases of Motion of a Rigid Body Containing a Fluid

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 42-85

   4. Stability of Motion with Respect to a Part of the Variables of a Rigid Body with Cavities Partially Filled with a Fluid

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 86-111

   5. Stability of Steady Motion of Rigid Bodies with Fluid-Filled Cavities

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 112-154

3. Vibrations of a Fluid and of the Body Containing the Fluid

   1. Front Matter

      Pages 155-155

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   2. Statement of the Problems of the Theory of Vibrations

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 157-214

   3. General Properties of Equations of Vibrations of Bodies Containing a Fluid

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 215-250

   4. Fluid Surface Phenomena and Their Effect on the Motion of a Body Containing a Fluid

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 251-306

4. Appendix. Formulating the Problem of the Motion of a Fluid Subjected to Gravity Forces and Surface Tension Forces

   1. Vibrations of a Viscous Fluid and of a Body Containing a Viscous Fluid

      • N. N. Moiseyev, V. V. Rumyantsev

      Pages 307-334

5. Back Matter

   Pages 335-345

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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.

• dynamics
• fluid
• mechanics
• stability

• Southwest Research Institute, San Antonio, USA

  N. H. Abramson

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