TY - JOUR
T1 - Static and vibration analysis of functionally graded beams using refined shear deformation theory
AU - Vo, Thuc
AU - Thai, Huu-Tai
AU - Nguyen, Trung-Kien
AU - Inam, Fawad
PY - 2013/7
Y1 - 2013/7
N2 - Static and vibration analysis of functionally graded beams using refined shear deformation theory is presented. The developed theory, which does not require shear correction factor, accounts for shear deformation effect and coupling coming from the material anisotropy. Governing equations of motion are derived from the Hamilton's principle. The resulting coupling is referred to as triply coupled axial-flexural response. A two-noded Hermite-cubic element with five degree-of-freedom per node is developed to solve the problem. Numerical results are obtained for functionally graded beams with simply-supported, cantilever-free and clamped-clamped boundary conditions to investigate effects of the power-law exponent and modulus ratio on the displacements, natural frequencies and corresponding mode shapes.
AB - Static and vibration analysis of functionally graded beams using refined shear deformation theory is presented. The developed theory, which does not require shear correction factor, accounts for shear deformation effect and coupling coming from the material anisotropy. Governing equations of motion are derived from the Hamilton's principle. The resulting coupling is referred to as triply coupled axial-flexural response. A two-noded Hermite-cubic element with five degree-of-freedom per node is developed to solve the problem. Numerical results are obtained for functionally graded beams with simply-supported, cantilever-free and clamped-clamped boundary conditions to investigate effects of the power-law exponent and modulus ratio on the displacements, natural frequencies and corresponding mode shapes.
KW - Functionally graded beams
KW - refined shear deformation theory
KW - triply coupled response
KW - finite element model
U2 - 10.1007/s11012-013-9780-1
DO - 10.1007/s11012-013-9780-1
M3 - Article
SP - 1
EP - 14
JO - Meccanica
JF - Meccanica
SN - 0025-6455
ER -