Ключевые слова: трансцендентные уравнения, граничные условия, модели
Максвелла, собственные колебания, устойчивое ядро.
Oscillatory processes of transcendental frequency equations in complex boundary conditions Annotation In the course of the work, we study, it consists of algebraic equations and the effect of
boundary conditions on the edges of rectangular plates, as well as geometric and mechanical
parameters on the frequencies of natural vibrations of rectangular planar elements is considered,
and previous results for a rectangular plate whose material satisfies Maxwell's viscous-circle
model are summarized .When studying oscillatory processes in a rigidly deformable body, it is
desirable to take the kernel of viscoelastic operators as constant, since such operators describe
the instantaneous elasticity and then the viscous flow characteristic of deformable solids. As is
known, integro-differential equations with constant kernels are equivalent to differential
equations with independent derivatives.
Keywords: transcendental equations, boundary conditions, Maxwell's models,
eigenvibrations, stable core.
Пайдаланылған әдебиеттер тізімі: [1]
Filippov, I.G., 1979. An approximate method for solving dynamic viscoelastic media.
– PMM, 43(1): 133 -137.
[2]
Seitmuratov,A; Medeubaev N., Yeshmurat,G., Kudebayeva,G. (2018) Approximate
solution of the an elastic layer vibration task being exposed of moving load. News of the
national academy of sciences of the republic of Kazakhstan-Series physic-mathematical. 2 (318)
: 54-60. (in Eng)
Университеттің 85 жылдығына арналған «Қазіргі заманғы математика: проблемалары және қолданыстары» III халықаралық Тайманов оқуларының
