Journal of Sound & VibrationS. M. Han, H. Benaroya, and T. Wei. Dynamics of transversely vibrating beams using four engineering theories. Journal of Sound and Vibration, 226(5):935-988, 1999.SEON M. H.; HAYM, B.
Present study considers the longitudinal dynamic analysis of carbon nanotubes which has been modeled as an axially functionally graded Rayleigh-Bishop rod with the help of nonlocal stress gradient elasticity theory. Governing equation of motion and boundary conditions for the axial dynamics of nanorod ha...
Parametric and closed-form solutionTrigonometric functionJacobi elliptic functionNonlinear transversely vibrating beams, including a uniform beam carrying a lumped mass and a transversely vibrating quintic nonlinear beam, are considered in this paper. Firstly, using trigonometric function, analytical solutions ...