Transverse vibrations of Timoshenko type beams carrying a concentrated mass have been investigated. Both ends of this mass-beam system have simply supports. Hamilton Principle has been used in order to derive equation of motion . For this coupled differential equations, approximately solutions have been searched by means of Method of Multiple Scales(a perturbation method). These solutions consi...

In this research the sensitivity analysis of the geometric parameters such as: length, thickness and width of a single link flexible manipulator on maximum deflection (MD) of the end effector and vibration energy (VE) of that point are conducted. The equation of motion of the system is developed based on Gibbs-Appel (G-A) formulation. Also for modeling the elastic property of the system the ass...

Euler, Timoshenko and high shear deformation theories to analyze the free vibration of functionally graded (FG) beam were developed. The mechanical properties this assumed differ in thickness direction according model a power-law distribution. principle Hamilton was used find equations motion. For vibration, analytical solution these presented using Navier method. effect power index, aspect rat...