Large Deflection of Various Functionally Graded Beam Using Shooting Method
The equation of large deflection of functionally graded beam subjected to arbitrary loading condition is derived. In this work assumed that the elastic modulus varies by exponential and power function in longitudinal direction. The nonlinear derived equation has not exact solution so shooting method has been proposed to solve the nonlinear equation of large deflection. Results are validated with finite element solutions. The method will be useful toward the design of compliant mechanisms driven by smart actuators. Finally the effect of different elastic modulus functions and loading conditions are investigated and discussed.
A. Soleimani, "Large Deflection of Various Functionally Graded Beam Using Shooting Method", Applied Mechanics and Materials, Vols. 110-116, pp. 4705-4711, 2012