Stability of the Bernoulli–Euler Beam under the Action of a Moving Thermal Source

Морозов, Н. Ф.; Indeitsev, D. A.; Лукин, А. В.; Popov, I. A.; Privalova, O. V.; Shtukin, L. V.

doi:10.1134/s102833582002007x

Cited by 7 publications

(1 citation statement)

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“…В более ранних работах [29][30][31] рассматривалась динамика и упругая устойчивость балочного элемента МЭМС и НЭМС при кратковременных тепловых воздействиях. В [32] был исследован характер свободных продольно-изгибных колебаний стержня в случае внутреннего комбинационного резонанса между двумя изгибными и низшей продольной формами колебаний.…”

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Nonlinear modal interaction between longitudinal and bending vibrations of a beam resonator under periodic thermal loading

Морозов¹,

Indeitsev²,

Lukin³

et al. 2022

Vestnik SPbSU. Mathematics. Mechanics. Astronomy

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The paper investigates the nonlinear modal interaction of longitudinal and bending vibrations of a beam resonator under periodic thermal loading. The mode of parametric oscillations is investigated under conditions of internal multiple resonance between some flexural and longitudinal forms of free oscillations of the resonator. The possibility of generation in the system of the longitudinal-bending mode was found, the frequency of the slow envelope of which essentially depends on the parameter of the internal frequency detuning, which is directly related to the magnitude of external disturbances subject to high-precision measurement.

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