http://dspace.nbuv.gov.ua:80/handle/123456789/87998 Fri, 17 Apr 2026 16:30:29 GMT 2026-04-17T16:30:29Z http://dspace.nbuv.gov.ua:80/bitstream/id/419789/ http://dspace.nbuv.gov.ua:80/handle/123456789/87998 http://dspace.nbuv.gov.ua:80/handle/123456789/88008 Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads Rui Li; Yang Zhong; Bin Tian; Jian Du Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads are derived by using a novel double finite integral transform method. Since only the basic elasticity equations for orthotropic thin plates are used, the method presented in this paper eliminates the need to predetermine the deformation function and is hence completely rational thus more accurate than conventional semi-inverse methods, which presents a breakthrough in solving plate bending problems as they have long been bottlenecks in the history of elasticity. Numerical results are presented to demonstrate the validity and accuracy of the approach as compared with those previously reported in the literature. Sat, 01 Jan 2011 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/88008 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/88007 Моделирование механической колебательной системы с управляемым по ускорению фрикционным электромагнитным демпфером Плахтиенко, Н.П. The operating capacity of a controlled by acceleration frictional electromagnetic damper is validated. A mathematical model of oscillator with controlled damper is resulting in the three ordinary differential equations of the first order with discontinuous second members. For the case of energy dissipation depending on the acceleration modulus, the simplified model is considered in the form of one equation of the second order with discontinuous coefficients. The exact solution of this equation is found. An approximate law of vibration attenuation is established. It is shown that information on the attenuation parameter is placed in the exponential function basis. A phenomenon of double non-stationary phase-frequency resonance is studied. Sat, 01 Jan 2011 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/88007 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/88006 К теории устойчивости на временной шкале класса линейных систем при структурных возмущениях Бабенко, С.В. An analysis of Lyapunov stability of linear systems of dynamical equations with periodic coefficients and structural perturbations on the time scale is carried out. Basing on the matrix-value concept of the Lyapunov direct method, the sufficient conditions of asymptotic stability for equations under consideration are obtained for all the values of the structural matrix from the structural set. As an example of application of theoretical results, the system of two dynamical equations on the time scale is considered. Sat, 01 Jan 2011 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/88006 2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/88005 Модель трещины типа Дагдейла при смешанной моде нагружения (плоское напряженное состояние) Галатенко, Г.В. A model of crack with a plasticity strip on its projection is proposed for the mixed loading by modes I and II. The unknown three stress components in the strip are determined from the plasticity condition, finiteness of stresses, and the established link among the normal stress components through the basic stress state. An analysis is carried out for the crack parameters under von Mises yield condition. Sat, 01 Jan 2011 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/88005 2011-01-01T00:00:00Z