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Studying the Vibrational Behavior of Single-Walled Carbon Nanotubes under Different Boundary Conditions using the Rayleigh-Ritz Technique
International Journal of Engineering and Applied Sciences
The vibrational response of single-walled carbon nanotubes (SWCNTs) is studied in this paper. To take size effects into account, Eringen's nonlocal elasticity equations are incorporated into the Donnell shell theory. The Rayleigh-Ritz method is employed in conjunction with the polynomial series as modal displacement functions to solve the problem. Four commonly used boundary conditions namely as simply supported-simply supported, clamped-clamped, clamped-simply supported, and clamped-free aredoi:10.24107/ijeas.252145 fatcat:g3hjnwjzdjbhlnxcxr3hxspjim