Nonlinear Vibration Behaviors of Side-Placed High-Temperature Superconducting Bulk and Permanent Magnet System
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ORIGINAL PAPER
Nonlinear Vibration Behaviors of Side-Placed High-Temperature Superconducting Bulk and Permanent Magnet System Linjie Li 1 & Qingyun Mao 2 & Bo Zhang 2 & Jun Jiang 2 & Xiaobao Shi 1 & Lifeng Zhao 3 Yong Zhao 3
&
Jing Jiang 3 & Yong Zhang 3 &
Received: 20 September 2020 / Accepted: 22 October 2020 # Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract The vibration properties of a side-placed high-temperature superconducting (HTS) bulk and permanent magnet (PM) system have been investigated theoretically and experimentally. In this system, an HTS pendulum (HTSP) is introduced to laterally arrange the HTS bulks beside a PM with a high pinning force. The resonant frequency nearly linearly decreases when increasing both the mass of HTSP and the gap between superconductors and a magnet. The results indicate that the resonant frequency is dependent on HSTP mass and stiffness. This may be helpful for the future application on close-proximity spacecraft operations and maglev system. Keywords High-superconductor-magnet system . Spacecraft interface . Dynamic behavior . Numerical analysis
1 Introduction Interaction between high-temperature superconducting (HTS) materials and permanent magnet (PM) can be applied to electro-mechanical systems, such as flywheel energy storage [1], HTS maglev vehicle [2], and close-proximity spacecraft operations [3–5]. For these applications, it is important to evaluate the dynamic characteristic of the system consisted of HTS and PM. Coupling with electromagnetic phenomena of type-II superconductors, the dynamics of it shows some nonlinear properties [6, 7]. So far, many theoretical and experimental researches were reported on the nonlinear dynamic behavior of the HTS-PM levitation [8–11]. In general, the hysteretic phenomenon observed in the HTS-PM system is accepted as coming from flux pinning effect in HTS bulk, which is regarded as the primary cause of the nonlinear vibration behaviors [12]. However, we also notice that most of the * Lifeng Zhao [email protected] 1
The School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China
2
Innovation Academy for Microsatellites of CAS, Shanghai 201203, China
3
Superconductivity and New Energy R&D Center (SRDC), Southwest Jiaotong University, Chengdu 610031, China
theoretical models and experimental schemes presented by earlier researchers are based on the situation of an HTS bulk oscillating over a PM. For its application in the field of close-proximity spacecraft operations, a model consisted of a magnetic pendulum and a fixed HTS bulk was introduced to discuss the dynamic characteristics of a PM horizontally oscillating beside an HTS bulk [13]. As the relative movements of magnet are complicated, the discussion on the dynamic characteristic of the HTS-PM system for this situation is insufficient. In this paper, a high-temperature superconducting pendulum (HTSP) was introduced to interact horizontally with fixed PM to discuss the nonlinear vibration behaviors of the
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