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Balthazar, José Manoel; Mook, Dean T.; Weber, Hans Ingo; Brasil, Reyolando Manoel Lopes Rebello da Fonseca; Fenili, André; Belato, D.; Félix, Jorge Luis Palacios

doi:10.1023/a:1025877308510

Cited by 211 publications

(53 citation statements)

References 16 publications

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“…In this research, we will aim to show: How the coupling of a small snap-through truss mass, can absorb part of the non-ideal system vibrations, considering especially the passage through resonance and the Sommerfeld effect [1]. Fig.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Now, in (7) we will find the equilibrium making 1 .Thus, the equilibrium points are obtaine following cases:…”

Section: Equilibrium Points Andmentioning

confidence: 99%

“…The response influences system's excitation, in opposite to the traditional one, called ideal systems. The non-ideal systems theories can be seenin details in: [1] and [2], undeserving of others authors.…”

Section: Introductionmentioning

confidence: 99%

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Using of a snap-through truss absorber in the attenuation of the sommerfeld effect

Godoy

Balthazar

Pontes

et al. 2012

MATEC Web of Conferences

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Abstract.This work, considers a vibrating system, which consists of a snap-through truss absorber (STTA) coupled to an oscillator, under excitation of an DC motor, with an eccentricity and limited power, characterizing a non-ideal oscillator (NIO). It is aimed to use the absorber STTA, to establish the conditions, that we have the maxim attenuation of the jumpphenomenon (Sommerfeld Effect). Here, weare interestedin determining the conditions of the vibrating system, in which there arereduced amplitudes of the oscillator, when it passes through the region of resonance.

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Section: Mathematical Modelmentioning

confidence: 99%

“…Now, in (7) we will find the equilibrium making 1 .Thus, the equilibrium points are obtaine following cases:…”

Section: Equilibrium Points Andmentioning

confidence: 99%

See 1 more Smart Citation

Using of a snap-through truss absorber in the attenuation of the sommerfeld effect

Godoy

Balthazar

Pontes

et al. 2012

MATEC Web of Conferences

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“…After that publication, the problem of non-ideal vibrating systems has been investigated by a number of authors. A complete review of different theories on non-ideal vibrating systems is to be found in [4]. Dynamic interactions between a parametric pendulum and an electro-dynamical shaker of limited power was investigated by [5].…”

Section: Introductionmentioning

confidence: 99%

On nonlinear dynamics and control of a robotic arm with chaos

Félix

Silva

Balthazar

et al. 2014

MATEC Web of Conferences

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Abstract. In this paper a robotic arm is modelled by a double pendulum excited in its base by a DC motor of limited power via crank mechanism and elastic connector. In the mathematical model, a chaotic motion was identified, for a wide range of parameters. Controlling of the chaotic behaviour of the system, were implemented using, two control techniques, the nonlinear saturation control (NSC) and the optimal linear feedback control (OLFC). The actuator and sensor of the device are allowed in the pivot and joints of the double pendulum. The nonlinear saturation control (NSC) is based in the order second differential equations and its action in the pivot/joint of the robotic arm is through of quadratic nonlinearities feedback signals. The optimal linear feedback control (OLFC) involves the application of two control signals, a nonlinear feedforward control to maintain the controlled system to a desired periodic orbit, and control a feedback control to bring the trajectory of the system to the desired orbit. Simulation results, including of uncertainties show the feasibility of the both methods, for chaos control of the considered system.

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“…i.e. the frequency increases and the vibrations decreases, resulting in lower power consumption by the motor [14], [19], [20]. The Sommerfeld effect results from the balance of the energy and it is due to the coupling between the excitation mechanism and the vibrational loads [21].…”

Section: Introductionmentioning

confidence: 99%