Elasticity solution of functionally graded beams resting on Winkler-Pasternak elastic foundation by DQM
Date
2012-02-27Author
Behzad Asmar
Fateh Teimuri
Foad Nazari
Seyed Soroosh Malihi
Mohammad Ali Rahbari-Kahjogh
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Show full item recordAbstract
Two-dimensional elasticity solution is presented for
static analysis of functionally graded beams with various end
conditions and resting on elastic foundation, using the semianalytical
approach, which makes use of the state space method
and differential quadrature method. The beams are assumed to
be transversely isotropic, with Young's modulus varying
exponentially along the thickness, while Poisson's ratio remaining
constant. The state space method (SSM) is adopted to obtain
analytically the thickness variation of the elastic field and,
approximate solution in the longitudinal direction can be
obtained using the one dimensional differential quadrature
method (DQM). The convergence and accuracy of the present
approach is then validated by comparing the numerical results
with the exact solutions for the case of simply support
functionally graded beam.
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