18세기 진동학의 진화
기관명 | NDSL |
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저널명 | 한국경영공학회지 = Journal of the Korea Management Engineers Society |
ISSN | 2005-7776,2713-573x |
ISBN |
저자(한글) | |
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저자(영문) | |
소속기관 | |
소속기관(영문) | |
출판인 | |
간행물 번호 | |
발행연도 | 2007-01-01 |
초록 | This paper presents a concise description of concepts and its logical adaptations for the development of vibration theory during the evolution of dynamics in the eighteenth century. With the mathematical modelings originated from Leibniz' insight on the equivalence between sound and vibration, Taylor's assumptions for the string geometry and mechanics, Johann Bernoulli's discrete models, D'Alembert's partial differential equation for the vibrating string, and Euler's "the First Principles of Mechanics", the basic ideas about vibration analysis in that century were formed and developed as the rational mechanics. The "Pendulum Conditions" derived from the static equilibrium state of the system for small vibrations are investigated comparing with the calculation of eigenvalues today. A 80 year lasting controversy erupted in the mid 1700s brought to an end through the proof of Fourier series resulting the expansion of functional concept in relation to the falsehood of the "Article of Faith" for the physical behaviors and confirming the "Principle of Superposition" by Daniel Bernoulli, which is nowadays a powerful mathematical tool for the harmonic analysis. |
원문URL | http://click.ndsl.kr/servlet/OpenAPIDetailView?keyValue=03553784&target=NART&cn=NART51557511 |
첨부파일 |
과학기술표준분류 | |
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ICT 기술분류 | |
DDC 분류 | |
주제어 (키워드) | Pitch,Frequency,Wavelength,Modes,Overtones,Beats,Resonance,Pendulum Condition,Vibrating string,Article of Faith,Fourier series |