182 resultados para anharmonic oscillator


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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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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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In this paper, we deal with the research of a vibrating model of an energy harvester device, including the nonlinearities in the model of the piezoelectric coupling and the non-ideal excitation. We show, using numerical simulations, in the analysis of the dynamic responses, that the harvested power is influenced by non-linear vibrations of the structure. Chaotic behavior was also observed, causing of the loss of energy throughout the simulation time. Using a perturbation technique, we find an approximate analytical solution for the non-ideal system. Then, we apply both two control techniques, to keep the considered system, into a stable condition. Both the State Dependent Ricatti Equation (SDRE) control as the feedback control by changing the energy of the oscillator, were efficient in controlling of the considered non-ideal system.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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In this work we investigate the dissociation of heteronuclear diatomic molecules subjected to laser pulses. This phenomenon can be modeled by the classical forced Morse oscillator. This system presents a chaotic dynamics associated with the anharmonicity of the internuclear potential and with the coupling of permanent dipole of molecule with the electric field of laser. We want to verify how the dissociation probability evolves while we change the intensity and frequency of laser. We study the phase space of molecules to have a better understanding of system dynamics. We make the calculations changing two parameters of laser (intensity and frequency) and checking how this parameters influences on molecule dissociation. We compare the results of HF molecule (Fluoride acid) and CO molecule (Carbon monoxide) to check how the dipole moment of each molecule can influence on laser interaction

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We investigate the formation of molecules under the action of external field acting during the atomic collision. To describe this process, the collision of atomic pairs, we use the Morse oscillator model driven The study was developed from the standpoint of classical mechanics by analyzing the sensitivity of the system with respect to initial conditions, the verification of chaotic dynamics associated with the process of formation of molecules with laser and analysis of system dynamics and the likelihood of photoassociation in response to the external field parameters

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In this work, the dissociation dynamics of heteronuclear diatomic molecules is investigated by means of the classical driven Morse oscillator. The interaction of the molecule and the laser field is represented through the product of the molecule dipole function and the electric field of the laser. This interaction may lead to the breaking of the chemical bound, that is, to the dissociation of the molecule. The work was developed in two parts. In the first part, we studied the dissociation as a function of the range of the permanent dipole. In the second part, we maximized the dissociation probability manipulating the parameters of the external field. We have observed that the dissociation can be controlled by means of variations of parameters associated with the range of the permanent dipole

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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The main goal of this bachelor work is the study of the physical properties of solids by thermal expansion coefficient measurements, which allows the exploration of various aspects of phase transitions. In this study, some theoretical aspects were focused, for example the first and second order phase transitions, Landau theory for phase transition and the volumetric thermal expansion coefficient. Furthermore, on the origin of the thermal expansion from the Lennard-Jones potential, that contains the anharmonic terms, which give rise to the phononic thermal expansion in solids

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