TY - JOUR

T1 - Effect of the ratio between the natural frequencies of a high-Tc superconducting bearing system on internal resonance

AU - Sugiura, T.

AU - Shimizu, T.

AU - Tange, T.

PY - 2008/9/15

Y1 - 2008/9/15

N2 - High-Tc superconducting levitation systems can achieve stable levitation without control, but they also often show complex nonlinear dynamical behavior such as internal resonance, in which different modes resonate at the same time. This paper investigates numerically and experimentally effect of the ratio between the natural frequencies of different modes on their internal resonance in a high-Tc superconducting magnetic bearing system. Numerical analyses based on the flux frozen method have been conducted. Responses in the case that the ratio of the natural frequencies is 2 to 1 are compared with those in the case that the ratios have some difference from 2 to 1. Numerical results show that the internal resonance occurs even in the cases that the ratio has some difference, though limited, from 2 to 1, and that the more the ratio differs from 2 to 1, the more the frequency range of the resonance is shifted and the narrower it is. Experiments have also been carried out. Experimental results of the internal resonance are similar to the numerical ones qualitatively.

AB - High-Tc superconducting levitation systems can achieve stable levitation without control, but they also often show complex nonlinear dynamical behavior such as internal resonance, in which different modes resonate at the same time. This paper investigates numerically and experimentally effect of the ratio between the natural frequencies of different modes on their internal resonance in a high-Tc superconducting magnetic bearing system. Numerical analyses based on the flux frozen method have been conducted. Responses in the case that the ratio of the natural frequencies is 2 to 1 are compared with those in the case that the ratios have some difference from 2 to 1. Numerical results show that the internal resonance occurs even in the cases that the ratio has some difference, though limited, from 2 to 1, and that the more the ratio differs from 2 to 1, the more the frequency range of the resonance is shifted and the narrower it is. Experiments have also been carried out. Experimental results of the internal resonance are similar to the numerical ones qualitatively.

KW - Internal resonance

KW - Nonlinear coupling

KW - Superconducting magnetic levitation

UR - http://www.scopus.com/inward/record.url?scp=50449095883&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=50449095883&partnerID=8YFLogxK

U2 - 10.1016/j.physc.2008.05.260

DO - 10.1016/j.physc.2008.05.260

M3 - Article

AN - SCOPUS:50449095883

VL - 468

SP - 2119

EP - 2124

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

IS - 15-20

ER -