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끝 단에 스프링-질량계가 연결된 엘리베이터 로프의 진동open accessVibration of Elevator Rope with a Spring-mass System at the Tip
- Other Titles
- Vibration of Elevator Rope with a Spring-mass System at the Tip
- Issue Date
- Apr-2014
- Publisher
- 한국소음진동공학회
- Keywords
- Elevator Rope Vibration; Tip Mass; Spring Support; Elevator Rope Vibration(엘리베이터 로프진동); Tip Mass(끝 단 질량); Spring Support(스프링지지)
- Citation
- 한국소음진동공학회논문집, v.24, no.4, pp 317 - 323
- Pages
- 7
- Indexed
- KCI
- Journal Title
- 한국소음진동공학회논문집
- Volume
- 24
- Number
- 4
- Start Page
- 317
- End Page
- 323
- ISSN
- 1598-2785
2287-5476
- Abstract
- This study is concerned with the free vibration analysis of an inextensible uniform rope with a spring-mass system at the tip. The rope is hanged vertically in a gravitational field. This problem is related to the free vibration of an elevator rope connected to an elevator cage. The equation of motion and the corresponding boundary conditions are derived by using the Hamilton’s principle. The general solution of the governing equation of motion is expressed in terms of Bessel functions. The characteristic equation was derived by applying the boundary conditions. The characteristic values which are in fact non-dimensionalized natural frequencies were obtained numerically. The effects of mass and spring constant were investigated. The numerical results show how the tip mass and spring affect the natural frequencies of the rope.
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