Letter to the editorVibration frequencies for a uniform beam with one end spring-hinged and subjected to a translational restraint at the other end
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Cited by (55)
Non-linear vibration of free spanning subsea pipelines with multi-dimensional mid-plane stretching
2024, Engineering StructuresDynamics of Euler-Bernoulli beams with unknown viscoelastic boundary conditions under a moving load
2021, Journal of Sound and VibrationCitation Excerpt :Once the beam's inherent properties are specified, its natural frequencies will vary with the stiffness and damping coefficients of the viscoelastic boundaries. Previous works [40-48] illustrated that, under elastic or viscoelastic support conditions, when the dimensionless stiffness coefficients increase, the natural frequencies of the beam will converge from free condition to fixed condition. Therefore, it's reasonable to consider the viscoelastic boundary as fixed to the ground at the supporting direction when these dimensionless stiffness coefficients (Eq. (40)) are multiplied by a large number; 1000 is used in this work.
Analytic responses of slender beams supported by rotationally restrained hinges during support motions
2020, Nuclear Engineering and TechnologyCitation Excerpt :Because of the great number of publications, some references are cited for a brief survey. Free vibrations of uniform Euler-Bernoulli beam with elastically restrained support or supports are treated by Chun [2], Lee [3], Grant [4], Hibbeler [5], Maurizi, et al. [6], Goel [7], Laura et al. [8], Rao et al. [9], and Digilov et al. [10]. Non-uniform beams with elastically restrained ends have also been extensively investigated by Verniere de Irassar et al. [11], Laura et al. [12], Alvarez et al. [13], Grossi et al. [14], and Hozhabrossadati [15].
Active Vibration Suppression of an elastic piezoelectric sensor and actuator fitted cantilevered beam configurations as a generic smart composite structure
2015, Composite StructuresCitation Excerpt :Similarly, the next two modes exhibit similar accuracy. The result thus obtained agrees with the work of Maurizi, Rossi and Reyes [30] for a degenerate case, as elaborated in references [21,22]. Fig. 11 summarizes the sensing and actuating procedure.