Vibration of a Bowed String : 1st Report-No.1 Monochord subject to Air Resistance Only

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概要

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• Steady self-excited vibrations of a bowed string, which is perfectly flexible and subject to negative damping due to solid frictional force of general characteristic and to positive damping due to air resistance only, are studied by means of a Fourier series method utilizing series transformation. It is shown that in the limiting case of air resistance tending to zero the obtained solution reproduces the celebrated Helmholtz mode of vibration for a bowed string. The solution also substantiates Raman's results about the necessary bow force to maintain vibration.

• 一般社団法人日本機械学会の論文

著者

• TEMMA Katsuhiro

  Kisarazu National College of Technology

• Maezawa Seiichiro

  Department Of Physical Sciences And Engineering Meisei University

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• Two-Dimensional Stress Analysis of Adhesive Butt Joints Subjected to External Bending Moments : Series A : Solid-Mechanics, Strength of Materials
• Vibration of a Bowed String : 1st Report, Monochord Subject to Air Resistance Only-No. 3
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• Vibration of a Bowed String : 1st Report, Monochord Subject to Air Resistance only-N0. 2
• Vibration of a Bowed String : 1st Report-No.1 Monochord subject to Air Resistance Only
• Vibration of a Bowed String : 2nd Report, Effect of Flexural Rigidity and Internal Friction, No.1

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