Free Vibration Exploration of Rotating FGM Porosity Beams under Axial Load considering the Initial Geometrical Imperfection

In practice, some components in large structures such as the connecting rods between rotating parts engines, turbines, and so on, can model beam around fixed axis subject to axial compression load; therefore, study of mechanical behavior these has a significant meaning practice. This paper analyzes vibration responses FGM beams subjected compressive loads, which is resting on two-parameter elastic foundation, taking into account initial geometrical imperfection. Finite element formulations are established by using new shear deformation theory type hyperbolic sine functions finite method. The materials assumed be varied smoothly thickness direction based power-law function with porosity. Verification problems conducted evaluate accuracy theory, proposed structures, calculation programs coded MATLAB environment. Then, parameter carried explore effects material properties beams, especially influences rotational speed load.