Dynamic response of multispan viscoelastic thin beams subjected to a
moving mass is studied by an efficient numerical method in some detail.
To this end, the unknown parameters of the problem are discretized in
spatial domain using generalized moving least square method (GMLSM) and
then, discrete equations of motion based on Lagrange’s equation are
obtained. Maximum deflection and bending moments are considered as the
important design parameters. The design parameter spectra in terms of
mass weight and velocity of the moving mass are presented for multispan
viscoelastic beams as well as various values of relaxation rate and beam
span number. A reasonable good agreement is achieved between the
results of the proposed solution and those obtained by other
researchers. The results indicate that, although the load inertia
effects in beams with higher span number would be intensified for higher
levels of moving mass velocity, the maximum values of design parameters
would increase either. Moreover, the possibility of mass separation is
shown to be more critical as the span number of the beam increases. This
fact also violates the linear relation between the mass weight of the
moving load and the associated design parameters, especially for high
moving mass velocities. However, as the relaxation rate of the beam
material increases, the load inertia effects as well as the possibility
of moving mass separation reduces.
Keivan, K (2019). Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method. Afribary.com: Retrieved July 24, 2019, from https://afribary.com/works/assessing-dynamic-response-of-multispan-viscoelastic-thin-beams-under-a-moving-mass-via-generalized-moving-least-square-method
Kiani, Keivan. "Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method" Afribary.com. Afribary.com, 01 Jul. 2019, https://afribary.com/works/assessing-dynamic-response-of-multispan-viscoelastic-thin-beams-under-a-moving-mass-via-generalized-moving-least-square-method . Accessed 24 Jul. 2019.
Kiani, Keivan. "Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method". Afribary.com, Afribary.com, 01 Jul. 2019. Web. 24 Jul. 2019. < https://afribary.com/works/assessing-dynamic-response-of-multispan-viscoelastic-thin-beams-under-a-moving-mass-via-generalized-moving-least-square-method >.
Kiani, Keivan. "Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method" Afribary.com (2019). Accessed July 24, 2019. https://afribary.com/works/assessing-dynamic-response-of-multispan-viscoelastic-thin-beams-under-a-moving-mass-via-generalized-moving-least-square-method