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Some Research Directions Represented by N.D.Moiseev in his Monograph «Essays on the Development of Stability Theory»ICHST 2021 –сайт Конгресса, ID 1330тезисы доклада
- Автор: Chinenova V.N.
- Сборник: 26th International Congress of History of Science and Thechnology
- Тезисы
- Год издания: 2021
- Место издания: Praga
- Номер статьи: ID 1330
- Аннотация: This presentation considers the book by Professor N.D.Moiseev (1902-1955), a distinguished Soviet scientist and a specialist on celestial mechanics and motion stability theory. This monograph provides an informative and detailed analysis of problems of the equilibrium stability and the motion; along with that, it is also a true encyclopedic guide in the field. The writing by Moiseev establishes historical and conceptual meaning of different theories. The research covers the time interval from Aristotle through Lyapunov. In his work, Moiseev focuses on the development of the main version of the theory of infinitesimal stability, which was successfully evolved into the brilliant stability theory in the sense of Lyapunov. Moiseev tries to highlight all the essential special features of this theory.The book contains the review and analysis of basic stages in the development of stability theory in the field of exact natural science and engineering. It consists of several essays corresponding to Moiseev's periodization. Essay 1 titled The Development of Stability Theory in Pre-Analytical Period covers some dozens of authentic tractates of antique and mediaeval scientists, inclusive the epoch of the great 17th century. The author examines a concept of static-frictional stability introduced by ancient mathematicians. In addition to the kinematic variant of statics of «simple machines», the stability theory of geometrical statics is analyzed. Further, stability theories in the physical statics are presented, beginning with teachings of antique philosophers concerning the stability of floating bodies in the sense of Stevin and the Torricelli's equilibrium stability criterion.Essay 2 titled The Development of the Infinitesimal Theory of Stability includes six extensive chapters, which examine the theory of small oscillations of a conservative system and the theories of secular perturbations of planets, as well as the analysis of some technical problems.The vast Essay 3 is titled Lyapunov's Writings on the Stability Theory where the rich Lyapunov's scientific heritage is thoroughly considered over a length of five chapters, beginning with his early works (1884) through his latest contributions to this field. Conclusion highlights an importance of Lyapunov's theory in the historical perspective.
- Добавил в систему: Чиненова Вера Николаевна