T he work objectives are to generalize the scalarization method of dynamic elastic fields in the transversely isotropic media to the tasks for the environments rotating with a constant angular velocity, and to develop the methodological apparatus for describing the effect of rotation on the parameters of surface acoustic waves. On the basis of this method, the scientificmethodical device for the construction of new acoustic-wave gyroscopes is proposed. Parameter determination ratios for surface-acoustic waves (SAW) propagating on the boundary of the rotating half-space of the transversely isotropic material with arbitrarily spaced axis of material symmetry are obtained and validated. An example of the numerical simulation for the isotropic rotating half-space case is given. The proposed methodological apparatus and numerical simulation examples can be used to develop new types of gyroscopes on acoustic-wave systems for navigation, guidance and control of various mobile objects in aviation, robotics, etc.
scalarization method, transversely isotropic medium, acoustic waves, surface acoustic wavesj.
Введение. При решении задач динамической теории упругости успешно применяется метод скаляризации [1–3], за-
ключающийся в представлении тензорных полей перемещений, напряжений и деформаций через независимые ска-
лярные функции [4–6]. Применение данного метода существенно облегчает решение многих задач по определению
упругих полей в различных конструкциях. Так, в [4] определено напряженно-деформированное состояние (НДС) в
многослойной цилиндрической трубе при динамических нагрузках. В [5] рассчитано НДС в слоистой цилиндрической конструкции при многократном воздействии локальных динамических нагрузок. В [6] дан анализ динамического по-
ведения анизотропных многослойных конструкций и т. д.
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