DYNAMICS OF A BODY WITH LIQUID-CONTAINING CAVITIES,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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The book consists of two independent parts. The first part contains an account of general problems of dynamics and stability theory of a body with liquid connected with the systematic application of analytic mechanics methods and, especially, the second method of Lyapunov. In this case the body and the liquid in its cavity are considered as one mechanical system, and nonlinear equations of motion are investigated. The second part is dedicated to the theory of small oscillations of liquid and of the body with liquid. In contrast to the first part here only linear problems are discussed. The central problem investigated in the second part appears to be a traditional problem of small oscillations - study of the structure of a spectrum.