Investigation of Transverse Vibration Characteristics of Cracked Axially Moving Functionally Graded Beam Under Thermal Load

This article presents a new analysis of the vibration characteristics open-edge cracks for graded moving beams under thermal load. The material property gradient is based on distribution power law in direction beam thickness. equation obtained depending precept Hamilton and resolved by extension Galerkin’s approach. A rotational spring used to represent cracking beam. effects axial velocity, index, load, parameters are observed. Furthermore, mode shapes simple support cracked determined. results show that rise crack depth, index led decrease natural frequencies, which indicates obtained. HIGHLIGHTS Stability vibrations with an motion uniform temperature effect parameter was studied technique developed vibrational longitudinal Euler-Bernoulli model taking into account rotatory inertia GRAPHICAL ABSTRACT