Abstract This manuscript deals with a Timoshenko system damping and source. The existence stability of the solution are analyzed taking into account competition internal versus logarithmic We use potential well theory. For initial data in set created by Nehari surface, global solutions is proved using Faedo–Galerkin’s approximation. exponential decay given Nakao theorem. A numerical approach pr...

Abstract Vibration analysis of functionally graded (FG) microbeams carrying a moving mass is carried out in the framework Timoshenko beam theory. The material properties are considered to be thickness by power-law function, and they estimated Mori-Tanaka scheme. influence microsize effect captured with aid modified couple stress theory (MCST). A finite element formulated used establish discreti...

Carbon nanotubes with their outstanding mechanical, physical and electrical properties have stimulated a significant amount of scientific technological research due to uniqueness compared conventional materials. As result, an extensive study on mechanical has been conducted, the static dynamic behavior single- walled multi-walled carbon examined using Euler-Bernoulli Timoshenko beam models. The...

In the present study, an accurate model is used for analyzing asymmetric shaft with misalignment and under unbalance forces in rotating coordinates verified by developing experimental test.The rotor modeled Timoshenko beam theory coupled to a motor.The differential equations of motion are discretized Rayleigh-Ritz method derived from Hamilton's principle. Thereafter, According results, frequenc...

The scale effect of carbon nanotubes (CNTs) in the macro CNT-reinforced composites (CNTRCs) is analyzed, and free vibration characteristics a composite beam resting on viscoelastic foundation were studied. By combining nonlocal theory with Eshelby–Mori–Tanaka (EMT) method, EMT constitutive equation considering CNTs CNTRCs proposed. Based Timoshenko theory, governing equations corresponding boun...

This paper concerns a nonhomogeneous singular fractional order system, with two frictional damping terms. system can be considered as generalization of the so-called Timoshenko system. Results on existence, uniqueness, and continuous dependence solution were obtained via an energy approach, which mainly relies priori bounds density arguments. The approach functional analysis tools operator theo...