Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Historical Background for Derivation of the Differential Equation mẍ+kx = f(t)

미분방정식 mẍ + kx = f(t)의 역사적 유도배경

  • 박보용 (인천대학교 기계시스템공학부)
  • Received : 2010.12.09
  • Accepted : 2011.03.23
  • Published : 2011.04.20
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Abstract

This paper presents a historical study on the derivation of the differential equation of motion for the single-degree-of-freedom m-k system with the harmonic excitation. It was Euler for the first time in the history of vibration theory who tackled the equation of motion for that system analytically, then gave the solution of the free vibration and described the resonance phenomena of the forced vibration in his famous paper E126 of 1739. As a result of the chronological progress in mechanics like pendulum condition from Galileo to Euler, the author asserts two conjectures that Euler could apply to obtain the equation of motion at that time.

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Acknowledgement

Grant : 에너지 원리를 이용한 안정도 이론의 발달

Supported by : 인천대학교

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