In the present work, a finite element model is proposed to describe the response of isotropic and orthotropic beams with piezoelectric actuators due to applied mechanical loads as well as electrical load. The assumed field displacements of the beams are represented by First-order Shear Deformation Theory (FSDT), the Timoshenko beam theory. The equation of motion of the smart beam system is deri...

We study the implicit time discretization of piano strings governing equations within the Timoshenko prestressed beam model. Such model features two different waves, namely the flexural and shear waves, that propagate with very different velocities. We present a novel implicit time discretization that reduces the numerical dispersion while allowing the use of a large time step in the numerical ...

Für elastische Balken mit Piezoaktuatoren werden flachheitsbasierte Randsteuerungen entworfen, die eine Positionierung in endlicher Einstellzeit gestatten. Dabei werden sowohl Euler-Bernoulli-Balken als auch Timoshenko-Balken untersucht. Steuerungen für Balken mit mehreren Piezoaktuatoren werden durch Superposition berechnet. Die Methoden werden durch die Ergebnisse von Simulationen und eines E...

We consider dynamics of the one-dimensional Mindlin-Timoshenko model for beams with a nonlinear external forces and a boundary damping mechanism. We investigate existence and uniqueness of strong and weak solution. We also study the boundary stabilization of the solution, i.e., we prove that the energy of every solution decays exponentially as t → ∞. AMS Subject Classifications. 35L70, 35B40, 7...

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...

Smaill B (1975) Myocardial energy utilization in relation to canine circulatory control, studied by multivariate analysis and computer simulation. Ph.D. Thesis, University of London Snyder R, Downey JM, Kirk ES (1975) The active and passive components of extravascular coronary resistance. Cardiovasc lies 9: 161-166 Spencer MP, Denison AB Jr (1963) Pulsatile blood flow in the vascular system. In...

In this paper we analyze a locking-free numerical scheme for the LQR control of a Timoshenko beam. We consider a non-conforming finite element discretization of the system dynamics and a control law constant in the spatial dimension. To solve the LQR problem we seek a feedback control which depends on the solution of an algebraic Riccati equation. An optimal error estimate for the feedback oper...