Vibrations of String with Time-Varying Length

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概要

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• Free vibrations of a string with time-varying length are analyzed. An equation of motion is the well-known wave equation. Since the length of the string varies with time, its free vibration can not be determined by previous methods. Therefore, new variables of position and time are introduced and the equations of motion with respect to the new variables are solved by method of separation of the variables. Though so-called "eigenvalues (or eigenfrequencies)" and "eigenfunctions" are determined, "eigenfunctions" and initial conditions are expanded into Fourier sine series and then algebraic equations of infinite dimensions are introduced. In such a way, the free vibrations are solved.

• 一般社団法人日本機械学会の論文

著者

• Kotera Tadashi

  Associated Professor Faculty Of Engineering Kobe University

関連論文

• Vibrations of String with Time-Varying Length

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