NOMUKAMMAL ELASTIK STERJENNING CHIZIQLIMAS TEBRANISHLARI USTUVORLIGI
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Ushbu ishda kinematik qo‘zg‘alishlarda gisterezis tipidagi dissipativ xarakteristikali ko‘ndalang
kesimi o‘zgaruvchan sterjenning chiziqlimas tebranishlari ustuvorligini tekshirish masalasi qaralgan.
Lyapunovning birinchi yaqinlashish usulidan foydalanilib, ustuvorlik shartlari analitik ko‘rinishda
aniqlangan, hamda ustuvorlik sohalari va chegaralari tahlil qilingan.
A.T. Zhakash, E.A. Dzhakashova, O.M. Tursynbay. Numerical methods for calculating vibrations of
straight rods of variable cross-section. International Scientific Journal Theoretical & Applied Science.
Volume 75, 2019, pp.64-66.
3. Kelly S.G. Mechanical vibrations: Theory and applications, Global Engineering press, USA, 2012, p.898.
4. Migdalovici M., Baran D. Theoretical research regarding any stability theorems with applications,
Proceedings of the 14th international congress on sound and vibration, July 9-12, 2007, Cairns, Australia,
pp.575-581.
5. Ramon H., Siller E. Nonlinear modal analysis methods for engineering structures. A thesis submitted for
the degree of Doctor of Philosophy, Imperial University of London, August 2004, p. 121.
Dusmatov O.M., Khodjabekov M.U. Exploration of stability of hysteresis type dynamic systems which
are protected from vibrations// Proceedings of International training-seminars on mathematics in
conjunction with the joint mathematics meeting, 2011 between Samarkand State University and Malaysian
Mathematical Sciences Society // Samarkand city, JUNE 2011.- pp.114-117.
Dusmatov O.M., Kasimova F.U. Vibration of hysteresis–type elastic dissipative characteristic of beam
with variable cross section. Science and innovation international scientific journal. Volume 2, issue 11,
2023. pp. 220-225.
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