Sixth order differential equation for sandwich beam deflection including transverse shear
Journal article, 2013
A 6th order differential equation for the dynamic analysis of the deflection of a three-layer sandwich beam with a viscoelastic middle layer is developed. Transverse shear deformation as well as rotational inertia effects of the covering layers are taken into account. The same boundary conditions as in the Euler-Bernoulli case are used for the covering layers, making the method straightforward to use. The material in the viscoelastic layer is modeled using a fractional derivative material model. The parameters of the model are fit to experimental data for a rubber in industrial use. A cantilever beam is analyzed, and it is shown that taking the effects of transverse shear and rotational inertia into account can have a significant effect on the response at the resonances even if length to thickness ratio is over 30 for the covering layers.
free-vibration
composite structures
formulation
viscoelastic layer
Rotational effects
laminated composite
1990
Thick beam theory
andrashekhara k
p269
deformation
v14
Sandwich beam
Sixth order differential equation
Author
Magnus Alvelid
Dynamics
Composite Structures
0263-8223 (ISSN)
Vol. 102 29-37Subject Categories
Composite Science and Engineering
DOI
10.1016/j.compstruct.2013.02.011