Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation

Paula, Aline Souza de; Balthazar, José Manoel; Félix, Jorge Luis Palacios

doi:10.1155/2013/839756

Cited by 3 publications

(3 citation statements)

References 13 publications

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“…The authors in [18] considered a flexible portal frame parametrically excited by an electrodynamical shaker. The dynamical jumps, an important point associated with the proposed system were the energy transfer between the shaker and the FPF.…”

Section: Base Excitation Effectsmentioning

confidence: 99%

Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

Balthazar

Brasil

Félix

et al. 2016

J. Phys.: Conf. Ser.

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Abstract. This paper overviews recent developments on some problems related to elastic structures, such as portal frames, taking into account the full interactions of the vibrating systems, with an energy source of limited power supply (small motors, electro-mechanical shakers). We include a discussion on fractional (rational) damping and stiffness effects on the adopted modelling. This was a plenary lecture, delivered in the event titled: Mechanics of Slender Structures, organized in Northampton, England from 21-22, September 2015. IntroductionThis paper shows a series of problems related to nonlinear dynamics and control, correlated to Electromechanical Systems [1] using an elastic support. Here, we analyzed such systems those fall into three groups: the conventional MACRO, MEMS and NEMS electro-mechanical systems, taking into account the existence of a full interaction between mechanical and electrical field quantities. The aim of this paper is to describe a large number of phenomena caused by the action of vibrations on nonlinear electro-mechanical systems and the energy source supply to it. This paper gives a general description of this class of phenomena which has been discussed in recent years.

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Section: Base Excitation Effectsmentioning

confidence: 99%

Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

Balthazar

Brasil

Félix

et al. 2016

J. Phys.: Conf. Ser.

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“…(2011). A fractal-inspired, multi-frequency, piezoelectric energy converter was designed by Castagnetti (2013). The eigenfrequencies and power generation under different resistive loads were validated experimentally.…”

Section: Introductionmentioning

confidence: 99%

Geometric nonlinear finite element and genetic algorithm based optimal vibration energy harvesting from nonprismatic axially functionally graded piezolaminated beam

Biswal

Roy

Behera

2016

Journal of Vibration and Control

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The present article deals with optimal vibration energy harvesting from an axially functionally graded (FG) non-prismatic piezolaminated beam using genetic algorithm (GA). Geometric nonlinear based finite element (FE) formulation using Newmark method in conjunction with Newton-Raphson method is formulated to solve the obtained governing equation. A two noded beam element with two degrees of freedom (DOF) at each node is used in the present FE formulation. The FG material (i.e. non-homogeneity) in the axial direction is considered which varies (continuously decreasing from root to tip of such cantilever beam) using a proposed power law formula. The various cross section profiles (such as linear, parabolic and cubic) are modelled using the Euler-Bernoulli beam theory. The effects of nonlinearity on the responses (such as displacement, voltage and output power) are deliberated with arbitrary power gradient index. The effects of tapers (both width and height in length directions) on the output power and voltage are analysed. A real-coded genetic algorithm based constrained optimization technique is also proposed to determine the best possible design variables for optimal power harvesting within the allowable limits of ultimate stress of beam and breakdown voltage of PZT sensor.

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“…The linear and nonlinear dynamics of portal frame systems under external excitation has received considerable attention in the literature. Brasil examined the nonlinear oscillations of a portal frame driven by several unbalanced rotating machines by means of perturbation technique such as the method of multiple timescales [9]. De Paula and co-workers employed a numerical technique to examine the nonlinear dynamics of a flexible portal frame under support excitation by an electrodynamics shaker [10].…”

Section: Introductionmentioning

confidence: 99%

On Energy Transfer between Vibration Modes under Frequency-Varying Excitations for Energy Harvesting

Félix

Bianchin

ALMEIDA

et al. 2016

AMM

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This paper presents an analytical and numerical analysis of vibration energy harvesting from the dynamic interaction and energy transfer between the two vibration modes of a 2-D-O-F model of a flexible portal frame. The frequencies of these modes are set in a two-to-one internal resonance condition. Excitation is provided by eccentric rotating mass-motor captured in external resonance. Next, we consider the same flexible portal frame excited from various directions with time-variable frequency. A piezoelectric device is used for energy harvesting. Depending on how the piezoelectric energy harvester is installed (or coupled) different gains are obtained. Good performance of the harvester generator is detected. We also observed periodic, quasi-periodic or chaotic oscillations, depending on the saturation phenomenon.

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Some Comments on the Nonlinear Dynamics of a Portal Frame under Base Excitation

Cited by 3 publications

References 13 publications

Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

Dynamics behaviour of an elastic non-ideal (NIS) portal frame, including fractional nonlinearities

Geometric nonlinear finite element and genetic algorithm based optimal vibration energy harvesting from nonprismatic axially functionally graded piezolaminated beam

On Energy Transfer between Vibration Modes under Frequency-Varying Excitations for Energy Harvesting

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