Stability analysis of a rotating asymmetric sandwich beam tapered along width and thickness subjected to pulsating axial load

Abstract

The purpose of this research is to utilize computational method to study the stability of an asymmetric sandwich beam which has tapered-width as well as tapered-depth. The beam is also being subjected to rotary motion and axial load which is pulsating in nature. The governing equations of motionof the system is produced using the expanded Hamilton's notion, and also the boundary conditions are decided. The resultant equation of motion and associated boundary conditions are non-dimensionalized by using the extended Galerkin technique. To arrive at the Hill's equation for the analysis of static instability, the system of non-dimensionalized equations of motion must be solved. The parametric instability is determined by the Saito-Otomi criteria. The effect of various parameters such as taper parameters, shear parameter, rotational speed, hub radius, core-loss factor, and regions of parametric instability. Utilizing the necessary MATLAB algorithms, an investigation is conducted on a static bucking load and shown as a variety of graphs.