Large-Amplitude Damped Free Vibration of a Stretched String

• G. V. Anand

  Electrical Communication Engineering Department, Indian Institute of Science, Bangalore, India

抄録

The equations of motion of a vibrating string are derive, and it is shown that a coupling exists between the longitudinal and transverse modes of vibration. Free transverse vibration of small order, under sinusoidal initial conditions, is analyzed. Under these conditions, the equations are separable. The time-dependent parts of the equations are solved by the method of variable amplitude and phase. It is seen that, when the vibration is nonplanar, part of the energy oscillates between the mutually perpendicular transverse components with a frequency proportional to the nonlinearity parameter α. The path of any point on the string is shown to be an ellipse with slowly rotating and shrinking axes.

収録刊行物

• The Journal of the Acoustical Society of America

  The Journal of the Acoustical Society of America 45 (5), 1089-1096, 1969-05-01

  Acoustical Society of America (ASA)

キーワード

• Acoustics and Ultrasonics
• Arts and Humanities (miscellaneous)

詳細情報

• CRID: 1360579817180456960
• NII論文ID: 30016068615
• DOI: 10.1121/1.1911578
• ISSN: 15208524
• ISSN: 00014966
• Web Site: https://pubs.aip.org/asa/jasa/article-pdf/45/5/1089/18763937/1089_1_online.pdf
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