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Instantaneous Characteristics of Nonlinear Torsion Pendulum and Its Application in Parameter Estimation of Nonlinear System

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  • Yan Zhao
  • Baofeng Zhang
  • Fangfang Han
  • Huan Tian
  • Xiao Yu
  • Junchao Zhu

Abstract

The nonlinear model of torsion pendulum is presented by considering the nonlinear damping force and nonlinear restoring force. The analytic solution of the nonlinear model is calculated to analyze the relationship between the characteristics of torsion pendulum and the nonlinear factors. The instantaneous characteristics of nonlinear torsion pendulum are analyzed by instantaneous undamped natural frequency and instantaneous damping coefficient. The instantaneous characteristics can be used for the parameter estimation of nonlinear torsion pendulum system. The nonlinear characteristics of the torsion pendulum are validated by the torsion pendulum based on the air-hovered turntable. The parameter estimation method based on the instantaneous characteristics is validated by the moment of inertia measurement system based on the torsion pendulum.

Suggested Citation

  • Yan Zhao & Baofeng Zhang & Fangfang Han & Huan Tian & Xiao Yu & Junchao Zhu, 2018. "Instantaneous Characteristics of Nonlinear Torsion Pendulum and Its Application in Parameter Estimation of Nonlinear System," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-10, May.
    • Handle: RePEc:hin:jnlmpe:7858403
    DOI: 10.1155/2018/7858403
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