Free Vibration Analysis of FGM Timoshenko Beams by Shooting Method
Free vibration response of functionally graded material beams were studied based on the first-order shear deformation theory by numerical shooting method. The material properties of the beam are assumed to be varied in the thickness direction as power law distribution. In the mathematical formulation, the axial, transversal, rotational and axial-rotational coupling inertia forces were totally considered. By using shooting method the ordinary differential equations in terms of amplitude functions with different boundary conditions were solved. Dimensionless natural frequencies for different mode shapes were presented. Effects of the power index, the shearing deformation on the natural frequency were examined in detail.
Shirong LI Hua XU
School of Civil Science and Engineering, Yangzhou University, Jiangsu, China
国际会议
The 4th International Conference on Mechanical Engineering and Mechanics(第四届国际机械工程与力学会议)
苏州
英文
483-488
2011-08-11（万方平台首次上网日期，不代表论文的发表时间）