TY - JOUR
T1 - Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory
AU - Mantari, J. L.
AU - Oktem, A. S.
AU - Guedes Soares, C.
N1 - Funding Information:
The first and the second author have been financed by the Portuguese Foundation of Science and Technology under the Contract Numbers SFRH/BD/66847/2009 and SFRH/BPD/47687/2008 , respectively.
PY - 2012/12
Y1 - 2012/12
N2 - Bending and free vibration analysis of multilayered plates and shells by using a new accurate higher order shear deformation theory (HSDT) is presented. It is one of the most accurate HSDT available in the literature, mainly because new non-polynomial shear strain shape functions (combination of exponential and trigonometric) used in the present theory are richer than polynomial functions, and free surface boundary conditions can be guaranteed a priori. The present HSDT is able to reproduce Touratier's HSDT as special case. The governing equations and boundary conditions are derived by employing the principle of virtual work. These equations are then solved via Navier-type, closed form solutions. Bending and dynamic results are presented for cylindrical and spherical shells and plates for simply supported boundary conditions. Panels are subjected to sinusoidal, distributed and point loads. Results are provided for thick to thin as well as shallow and deep shells. The present results are compared with the exact three-dimensional elasticity theory and with several other well-known HSDT theories. The present HSDT is found to be more precise than other several existing ones for analyzing the bending and free vibration of isotropic and multilayered composite shell and plate structures.
AB - Bending and free vibration analysis of multilayered plates and shells by using a new accurate higher order shear deformation theory (HSDT) is presented. It is one of the most accurate HSDT available in the literature, mainly because new non-polynomial shear strain shape functions (combination of exponential and trigonometric) used in the present theory are richer than polynomial functions, and free surface boundary conditions can be guaranteed a priori. The present HSDT is able to reproduce Touratier's HSDT as special case. The governing equations and boundary conditions are derived by employing the principle of virtual work. These equations are then solved via Navier-type, closed form solutions. Bending and dynamic results are presented for cylindrical and spherical shells and plates for simply supported boundary conditions. Panels are subjected to sinusoidal, distributed and point loads. Results are provided for thick to thin as well as shallow and deep shells. The present results are compared with the exact three-dimensional elasticity theory and with several other well-known HSDT theories. The present HSDT is found to be more precise than other several existing ones for analyzing the bending and free vibration of isotropic and multilayered composite shell and plate structures.
KW - A. Layered structures
KW - B. Vibration
KW - C. Analytical modeling
KW - Higher order shear deformation theory
UR - https://www.scopus.com/pages/publications/84866737035
U2 - 10.1016/j.compositesb.2012.01.062
DO - 10.1016/j.compositesb.2012.01.062
M3 - Article
AN - SCOPUS:84866737035
SN - 1359-8368
VL - 43
SP - 3348
EP - 3360
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
IS - 8
ER -