Mechanics Based Design of Structures and Machines, cilt.53, sa.12, ss.8024-8041, 2025 (SCI-Expanded, Scopus)
In this study, the vibration of functionally graded carbon nanotube (CNT)-reinforced beams attached to the inner side of a rotating rim has been investigated. The beam is reinforced with straight CNTs along the length direction. Various distribution patterns have been considered like uniform, delta, and X. The effective material properties of the beam have been determined using a modified rule of mixtures, combined with molecular dynamics simulations. The Ritz method has been employed to solve the vibration problem. The algebraic polynomials were utilized in the displacement field. Parametric results have been obtained for various rotation speeds, materials, and geometric properties. It was obtained that CNT distribution pattern has an important effect on the vibration of FG beams. Depending on the length-to-rim radius ratio, buckling of FG beam observed for some rotation speeds. Results show that the dimensionless frequency increases with rotational speed, and specific CNT parameter combinations can result in zero frequency, leading to beam buckling. A tuned state is achieved when rotation speed equals to frequency of the FG beam; however, imperfections can cause resonance, making this state undesirable.