Modal Precession of a Hemispherical Shell Gyro Excited by Electrostatic Field

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概要

• 論文の詳細を見る

• In this paper the precessional phenomenon of the modal pattern of a rotating hemispherical shell gyro excited parametrically by electrostatic forces is investigated. Niordson's thin shell theory, which included the extensional deformation of the middle surface and was derived in an invariant form, is employed and the rotary inertia is added. The modal equations of motion are coupled by the Coriolis force and the applied electric field. The method of multiple scales is used to determine quantitatively the vibrational displacement of the shell from which the precessional rate of the modal vibration pattern can be extracted. It is also shown that the modal precessional rate for the parametrically excited vibration case is found to be the same as that of the freely vibrating one. Experiments are performed on a rotating quartz hemispherical shell excited electrostatically to verify the theoretical results.

• 社団法人応用物理学会の論文
• 1997-11-15

著者

• Chou C‐s

  National Taiwan Univ. Taipei Twn

• Chang Chia-ou

  Institute Of Applied Mechanics College Of Engineering National Taiwan University

• Chou Chan-shin

  Institute Of Applied Mechanics College Of Engineering National Taiwan University

• Chang C‐o

  National Taiwan Univ. Taipei Twn

関連論文

• The Conversion of Rigid-Body Rotational Dynamics to Particle Dynamics
• Explicit Equations of Motion for Dynamical Systems with Multiple Constraints
• Modal Precession of a Hemispherical Shell Gyro Excited by Electrostatic Field
• Explicit Equations of Motion for Dynamical Systems with Multiple Constraints

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