Dynamic analysis of functionally graded beam under various boundary conditions

In this study harmonical analyses of functionally graded beam whose length, width and height are equals to L, b and h respectively are implemented with respect to spring and damping coefficients, elasticity module ratio and power law exponent. Mentioned harmonical analyses are performed firstly for variations of point mass applied on FG beam, secondly for variations of distrubuted load that FG beam was exposed and finally for different environment temperatures. Equations of motion of system are derived using lagrange equations by means of Euler-Bernoulli beam theory. Harmonical analyses of FG beam which being divided to 64 equal parts as a result of the approximation analysis of finite element method are performed via MATLAB.