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Dynamic stiffness formulation for a micro beam using Timoshenko–Ehrenfest and modified couple stress theories with applications Several models within the framework of continuum mechanics have been proposed over the years to solve the free vibration problem of micro beams. Foremost amongst these are those based on non-local elasticity, classical couple stress, gradient elasticity and modified couple stress theories. Many of these models retain the basic features of the Bernoulli–Euler or Timoshenko–Ehrenfest theori... ...
SAGE Publications - Tập 29 Số 1-2 - Trang 428-439 - 2023
A hybrid command-shaper for double-pendulum overhead cranes A crane is generally modeled as a simple pendulum with a point mass attached to the end of a massless rigid link. Numerous control systems have been developed to reduce payload oscillations in order to improve safety and positioning accuracy of crane operations. However, large-size payloads may transform the crane model from a simple-pendulum system to a double-pendulum system. Control sy... ...
SAGE Publications - Tập 20 Số 1 - Trang 24-37 - 2014
Optimal PI Controller with Position Feedback for Vibration Suppression In vibration control of distributed-parameter mechanical systems the main problem arises from endeavoring to achieve even damping in the desired frequency range and robustness simultaneously. These two important properties usually compromise each other so that more sophisticated techniques are needed to improve the vibration control of large structures. In the case of classical velocity f... ...
SAGE Publications - Tập 16 Số 13 - Trang 2023-2034 - 2010
Feedback chaotic synchronization of a complex chaotic system with disturbances In this paper, the basic dynamical properties of a complex chaotic system are investigated by the imaginary part and the real part of the complex chaotic system are separated. Based on Lyapunov stability theorem, a feedback control method is proposed for synchronization of a complex chaotic system with parameters perturbation and external disturbances. The simulation results show the feas... ...
SAGE Publications - Tập 21 Số 15 - Trang 3067-3071 - 2015
Adaptive observer-based synchronization of two non-identical chaotic systems with unknown parameters In this study, adaptive observer-based synchronization of chaotic systems is considered. The master and slaves systems have different dynamics and it is assumed that the master system parameters are unknown while its states are available. First, it is assumed that the slave system parameters are known but its states are not completely available. It is shown that an observer for the slave ... ...
SAGE Publications - Tập 23 Số 3 - Trang 389-399 - 2017
Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate This is the first research on the frequency analysis of a graphene nanoplatelet composite circular microplate in the framework of a numerical-based generalized differential quadrature method. Stresses and strains are obtained using the higher order shear deformation theory. The microstructure is surrounded by a viscoelastic foundation. Rule of the mixture is used to obtain varying mass de... ...
SAGE Publications - Tập 27 Số 1-2 - Trang 101-118 - 2021
Design of Mechanical Band-Pass Filters for Energy Scavenging: Multi-Degree-of-Freedom Models In this article, a model of a mechanical band-pass filter to be used in energy scavengers is studied. The filter is an ensemble of cantilever beams where at the tip of each beam a mass, known as the proof mass, is mounted. A beam with a proof mass at its tip is called a beam-mass system. The dynamics of a beam-mass system can be represented by its corresponding generalized single-degree-o... ...
SAGE Publications - Tập 14 Số 5 - Trang 753-768 - 2008
Non-linear Systems Under Poisson White Noise Handled by Path Integral Solution An extension of the path integral to non-linear systems driven by a Poissonian white noise process is presented. It is shown that at the limit when the time increment becomes infinitesimal the Kolmogorov— Feller equation is fully restored. Applications to linear and non-linear systems with different distribution of the Dirac's deltas occurrences are performed and results are compared with... ...
SAGE Publications - Tập 14 Số 1-2 - Trang 35-49 - 2008
Iteration Perturbation Method for Strongly Nonlinear Oscillations In this paper, the author proposes a new perturbation technique coupling with iteration method, yielding a powerful mathematical tool for an analytical solution of nonlinear equations. The obtained results are valid not only for weakly nonlinear problems but also for strongly nonlinear ones. Furthermore, the approximate solutions are valid for the whole solution domain, and even the first... ...
SAGE Publications - Tập 7 Số 5 - Trang 631-642 - 2001
Application of high-resolution spectral analysis for identifying faults in induction motors by means of sound Induction motors are critical components for most industries. Induction motor failures may yield an unexpected interruption at the industry plant. Several conventional vibration and current analysis techniques exist by which certain faults in rotating machinery can be identified. Ever since the first motor was built, plant personnel have listened to the noises emanating from machines; wit... ...
SAGE Publications - Tập 18 Số 11 - Trang 1585-1594 - 2012
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