We consider the dynamical one-dimensional Mindlin-Timoshenko system for beams. We analyze how its controllability properties depend on the modulus of elasticity in shear k. In particular we prove that the exact boundary controllability property of the Kirchhoff system may be obtained as singular limit, as k → ∞, of the partial controllability of a sharp subspace of low frequency components of t...

Imperfection sensitivity of large amplitude vibration of curved single-walled carbon nanotubes (SWCNTs) is considered in this study. The SWCNT is modeled as a Timoshenko nano-beam and its curved shape is included as an initial geometric imperfection term in the displacement field. Geometric nonlinearities of von Kármán type and nonlocal elasticity theory of Eringen are employed to derive govern...

the present study is the first to analyze the dynamic response of a poroelastic beam subjected to a moving force. moreover, the influences of attached mass-spring systems and non-ideal supports (with local movements in the supporting points or base due to the presence of factors such as gaps, unbalanced masses, and friction or seismic excitations) on the responses were investigated. non-ideal s...

In this paper, surface effects including surface elasticity, surface stress and surface density, on the free vibration analysis of Euler-Bernoulli and Timoshenko nanobeams are considered using nonlocal elasticity theory. To this end, the balance conditions between nanobeam bulk and its surfaces are considered to be satisfied assuming a linear variation for the component of the normal stress thr...

In this paper, the flow-induced vibration and flutter instability of cantilever carbon nanotubes conveying fluid and modeled as a thin-walled Timoshenko beam are investigated. Analytically nonlocal theory, transverse shear and rotary inertia effects are incorporated in this study. The governing equations and the boundary conditions are derived through Hamilton's principle. Numerical analysis is...

An isotropic structure modelled as a Timoshenko beam is considered for the optimal vibration control problem. The model to be controlled described by distributed parameter system with selection of Timoshenko?s shear correction factor. Control vibrations achieved through function placed on boundary conditions. performance index which seeks minimized indicates that goal minimize magnitude measure...