2016
DOI: 10.1177/1077546316667324
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On nonlinear horizontal dynamics and vibrations control for high-speed elevators

Abstract: In this work, the horizontal nonlinear response of a three-degree-of-freedom vertical transportation model excited by guide rail deformations is investigated. The equation of motion contains nonlinearities in the form of Duffing stiffness for the translational spring in tilting motion of the cabin. In order to improve the comfort for passengers a control strategy based on the State-dependent Ricatti Equation (SDRE) is proposed. Numerical simulations are performed to study the nonlinear behavior of the adopted … Show more

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Cited by 44 publications
(39 citation statements)
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“…A equação (3), também pode ser representada pelas equações diferenciais de primeira ordem: na forma de espaços de estados adimensional (SANTO et al, 2016;: 4 6 1 5 2 3 3 6 6 5 5 4 4 1 3 3 5 3 2 1 3 4 4 3 4 3 3 2 1 1 2…”
Section: Modelo Matemáticounclassified
See 1 more Smart Citation
“…A equação (3), também pode ser representada pelas equações diferenciais de primeira ordem: na forma de espaços de estados adimensional (SANTO et al, 2016;: 4 6 1 5 2 3 3 6 6 5 5 4 4 1 3 3 5 3 2 1 3 4 4 3 4 3 3 2 1 1 2…”
Section: Modelo Matemáticounclassified
“…Para realizar as simulações numéricas serão considerados os parâmetros utilizados por Santo et al (2014Santo et al ( , 2016, Rivas et al (2014) A é a amplitude de excitação (m), e represente as irregularidades da guia e dos roletes de contato com a guia, Hz f é a frequência de excitação (Hz), e representa a velocidade de deslocamento do elevador. Como pode ser observado nos resultados apresentados na Figura 4, a velocidade do elevador não é o principal fator que afeta a redução de conforto dos passageiros, e sim as irregularidade nas guias ou no roletes em contato com as guias.…”
Section: Simulações Numéricasunclassified
“…ese systems have six actuators that independently activate the guide rollers. Santo et al [20] investigated the horizontal nonlinear response of a three-degree-of-freedom vertical transportation model excited by guide rail deformations. A control strategy based on the state-dependent Riccati equation was proposed.…”
Section: Introductionmentioning
confidence: 99%
“…The parameters were obtained through the Finite Element Method. A vibration control strategy based on the state-dependent Ricatti equation was proposed in [20] to suppress the horizontal nonlinear behavior after investigating the tilting motion of the lift car. A control device composed of two rotary electric motors was proposed in [21] to limit the irregular horizontal motion of the lift car on the guide rail, while not introducing any additional vertical vibration.…”
Section: Introductionmentioning
confidence: 99%
“…Establishment of a comprehensive vibrational model would construct the theoretic basis of subsequent analysis for vibration patterns, influencing factors, and vibration-control-oriented optimization. Traditionally, vertical [28,31,32] and horizontal [20,33,34] vibrations are treated separately. The coupling effect has not been taken into account properly.…”
Section: Introductionmentioning
confidence: 99%