TY - JOUR
T1 - An analytical method for the vibration and buckling of functionally graded beams under mechanical and thermal loads
AU - Trinh, Luan
AU - Vo, Thuc
AU - Thai, Huu-Tai
AU - Nguyen, Trung-Kien
PY - 2016/9/1
Y1 - 2016/9/1
N2 - An analytical method for vibration and buckling behaviours of Functionally Graded (FG) beams with various boundary conditions under mechanical and thermal loads is presented. Based on linear strain-displacement relations, equations of motion and essential boundary conditions are derived from Hamilton’s principle. In order to account for thermal effects, three cases of the temperature rise through the thickness, which are uniform, linear and nonlinear, are considered. The exact solutions are derived using the state space approach. Numerical results are presented to investigate the effects of boundary conditions, temperature distributions, material parameters and slenderness ratios on the critical temperatures, critical buckling loads, and natural frequencies as well as load-frequencies curves, temperature-frequencies curves of FG beams under thermal/mechanical loads. The accuracy and effectiveness of proposed model are verified by comparison with previous research.
AB - An analytical method for vibration and buckling behaviours of Functionally Graded (FG) beams with various boundary conditions under mechanical and thermal loads is presented. Based on linear strain-displacement relations, equations of motion and essential boundary conditions are derived from Hamilton’s principle. In order to account for thermal effects, three cases of the temperature rise through the thickness, which are uniform, linear and nonlinear, are considered. The exact solutions are derived using the state space approach. Numerical results are presented to investigate the effects of boundary conditions, temperature distributions, material parameters and slenderness ratios on the critical temperatures, critical buckling loads, and natural frequencies as well as load-frequencies curves, temperature-frequencies curves of FG beams under thermal/mechanical loads. The accuracy and effectiveness of proposed model are verified by comparison with previous research.
KW - Buckling
KW - Vibration
KW - Functionally graded beam
KW - State space approach
U2 - 10.1016/j.compositesb.2016.06.067
DO - 10.1016/j.compositesb.2016.06.067
M3 - Article
VL - 100
SP - 152
EP - 163
JO - Composites Part B: Engineering
JF - Composites Part B: Engineering
SN - 1359-8368
ER -