Title of article :
Non-local finite element analysis of damped beams
Author/Authors :
Michael I. Friswell، نويسنده , , Sondipon Adhikari، نويسنده , , Yongjun Lei، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Abstract :
Non-local viscoelastic beam models are used to analyse the dynamics of beams with different boundary conditions using
the finite element method. Unlike local damping models the internal force of the non-local model is obtained as weighted
average of state variables over a spatial domain via convolution integrals with spatial kernel functions that depend on a
distance measure. In the finite element analysis, the interpolating shape functions of the element displacement field are
identical to those of standard two-node beam elements. However, for non-local damping, nodes remote from the element
do have an effect on the energy expressions, and hence on the damping matrix. The expressions of these direct and cross
damping matrices may be obtained explicitly for some common spatial kernel functions and Euler–Bernoulli beam theory.
Alternatively numerical integration may be applied to obtain solutions. Examples are given where the eigenvalues are compared
to the exact solution for a pinned–pinned beam to demonstrate the convergence of the finite element method. The
results for beams with other boundary conditions are used to demonstrate the versatility of the finite element technique
Keywords :
Non-local damping , Beams , Finite element analysis
Journal title :
International Journal of Solids and Structures
Journal title :
International Journal of Solids and Structures