Effects of Magnetoelastic Interactions in Conductive Plates and Shells

Thermoelastic Response of Closed Cylindrical Shells in a Supersonic Gas Flow

“…Substituting (17) into (16) we obtain the characteristic equation (with respect to β); its coefficients depend on the velocity parameter. The value of the parameter ν = ν cr at which two of the characteristic indicators become purely imaginary, and the rest still lie in the left half-plane, is critical, it corresponds to the critical velocity of the panel flutter in the linear formulation of this problem.…”

“…Similar problems were considered in detail in [10,11] taking into account the way the shell's edges were fixed. In the study of flutter in both linear and nonlinear formulations, a significant contribution was made by the representatives of the Armenian scientific school [12][13][14][15][16][17].…”

Generation of resonant vibrations of parametric type in three-layered magnetostrictive plate with the help of harmonic in time magnetic field.

“…Учитывая вышеизложенное и поступая так же, как в [2,6] (в этих работах подробно изложен метод математического моделирования магнитоупругих процессов в магнитомягкой ферромагнитной пластинке, материал которой не обладает магнитострикционными свойствами), в [1] получены линеаризованные двумерные уравнения и соответствующие условия, описывающие колебания и устойчивость трёхслойных магнитострикционных пластин в поперечном магнитном поле. Для простоты и наглядности здесь рассматривается случай прямоугольной пластинки, торцы которой неподвижны в своей плоскости.…”

Non‐stationary bending of a finite electromagnetoelastic rod

“…A number of publications are devoted to the development of various model bodies (for instance, beams [7], rods [8,19], plates [9][10][11][12], and shells [13][14][15][16]) that take into account effects of electromagnetoelastic coupling. Zhang et al [7] developed a model of transversely isotropic electromagnetoelastic Timoshenko beams by using a variational formulation based on Hamilton's principle, an extended modified theory of couple stresses, and a two-parameter model of elastic foundation.…”