This paper features the modeling and design of a Fast Output Sampling (FOS) Feedback control technique for the Active Vibration Control (AVC) of a smart flexible aluminium cantilever beam for a Single Input Single Output (SISO) case. Controllers are designed for the beam by bonding patches of piezoelectric layer as sensor / actuator to the master structure at different locations along the lengt...

A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space. 1. Introduction. The boundary feedback stab...

A complete investigation on the free vibration and stability analysis of beams made of functionally graded materials (FGMs) containing open edge cracks utilizing four beam theories, Euler-Bernoulli, Rayleigh, shear and Timoshenko, is performed in this research. It is assumed that the material properties vary along the beam thickness exponentially and the cracked beam is modeled as two segments ...

A new approach for solving the fractal Euler-Bernoulli beam equation is proposed. The mapping of problems in non-differentiable fractals into corresponding continuum applying calculus (FdH3-CC) carried out. derived as a generalization using FdH3-CC under analogous assumptions ordinary and then it solved analytically. To validate spatial distribution self-similar response, three different classi...

This paper sheds more light on the co-rotational element formulation for beams with uniform cross-section. The co-rotational elements are commonly used in problems in which a structure undergoes a large deformation. In this study, the foregoing element obeys the Euler-Bernoulli beam assumptions. Unlike the formulations presented in the literature, in this paper, a number of local nodal coordina...

Cracks cause to change dynamic response of beams and make discontinuity in slope of the deflection of the beams. The dynamic analysis of the Euler-Bernoulli cracked beam on the elastic foundation subjected to the concentrated load is presented in this paper. The stiffness of the elastic foundation and elastic supports influence on vibrational characteristics of the cracked beam. The Dynamic Gre...

• A system consisting of the Euler-Bernoulli beam subjected to tendon loading is studied. The attached at tip and in several locations Computational free vibration analysis conducted validated. effect number location attachment points evaluated. Structural stability beam-tendon investigated. Free Euler–Bernoulli axially loaded by a studied paper. cantilever as well spanwise using mechanical poi...

Strain-rate-based damping is investigated in the strong form of intrinsic equations three-dimensional geometrically exact beams. Kelvin–Voigt damping, often limited literature to linear or two-dimensional beam models, generalized case, including rigid-body motions. The result an elegant infinite-dimensional description beams that facilitates theoretical analysis and sets baseline for any chosen...