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Combined motion of reservoir with liquid for angular motions of carrying body

It is shown that this approach makes it possible to reduce considerably the number of unknowns of the problem and reduce it description only to parameters of motion of a liquid free surface and parameters of motion of a carrying body. The constructed nonlinear discrete model of the system was applied for investigation of motion of a reservoir with liquid on pendulum suspension, on taking into account liquid outflow and other problems, which have theoretical and applied meaning. | Vietnam Journal of Mechanics, VAST, Vol. 31, No. 2 (2009), pp. 103 - 121 COMBINED MOTION OF RESERVOIR WITH LIQUID FOR ANGULAR MOTIONS OF CARRYING BODY Oleg S. Limarchenko The Taras Shevchenko Kiev National University, Ukraine Abstract. vVe consider peculiarities of the modeling of wave motion of ideal liquid in a reservoir, which performs inclined motions . For description of behavior of the system we use variational formulation of the problem on the basis of the Hamilton-Ostrogradskiy variational principle with preliminary satisfying all kinematic boundary conditions of the problem. It is shown that this approach makes it possible to reduce considerably the number of unknowns of the problem and reduce it description only to parameters of motion of a liquid free surface and parameters of motion of a carrying body. The constructed nonlinear discrete model of t he system was applied for investigation of motion of a reservoir with liquid on pendulum suspension, on taking into account liquid outflow and other problems, which have theoretical and applied m eaning. 1. INTRODUCTION It is known that problems about combined motion of reservoirs with liquid represent significant part of investigations in the field of wave motions of liquid, which have great theoretical and applied significance. Theoretically this problem is especially complicated and important in the case, when liquid partially fills empty of a rigid body. Investigations of such types of problems by theoretical and experimental methods are performed during several centuries. It is interesting that Relay. Faraday and Ostrogradskiy [2, 14, 16] were pioneers in investigation of such problems. Special theoretical and applied interest to these problems appeared because of development of rocket engineering. Investigations of 50-s made it possible to develop linear and nonlinear theories of motion of such systems. Mainly the case of given translational motion of carrying body was under investigation. However, in