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History of Science and Engineering Annotation << Back
DOUBLE PENDULUM RESEARCH HISTORY |
A.S. Smirnov, B.A. Smolnikov
The article analyzes the scientists’ works on the dynamics of one of the most popular mechanical systems with two degrees of freedom – a double gravitational pendulum. The results of initial studies (A. Clairaut, D. Bernoulli and L. Euler) are presented, and also the historical applications of the double pendulum to solve the Cologne bell problem (W. Veltmann) and to determine the moments of inertia of solids (V.P. Vetchinkin, N.G. Chentsov, L.G. Loytsyansky, A.I. Lurie, Yu.A. Pobedonostsev). In addition, classical works of foreign (H. Lamb, H. Bouasse, T. von Karman, M. Biot, K. Klotter, S. P. Timoshenko, W. MacMillan) and domestic (Ya.L. Geronimus, N.V. Rose, M.M. Gernet, V.F. Ratobylsky and others) authors of the beginning and middle of the last century where are studies of double pendulum are presented. In conclusion, modern and promising directions of double pendulum research are discussed.
Keywords: double pendulum; Clairaut; Bernoulli; Euler; Cologne bell; aircraft moment of inertia.
DOI: 10.25791/intstg.12.2020.1242
Pp. 03-12. |
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