中国物理B ›› 2012, Vol. 21 ›› Issue (6): 64601-064601.doi: 10.1088/1674-1056/21/6/064601
• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇 下一篇
李世松a b, 兰江a b, 韩冰b, 谭红b, 李正坤b
Li Shi-Song(李世松)a)b)†, Lan Jiang(兰江)a)b), Han Bing(韩冰)b), Tan Hong(谭红)b), and Li Zheng-Kun(李正坤)b)
摘要: We present the motion equation of the standard-beam balance oscillation system, whose beam and suspensions, compared with the compound pendulum, are connected flexibly and vertically. The nonlinearity and the periodic solution of the equation are discussed by the phase-plane analysis. We find that this kind of oscillation can be equivalent to a standard-beam compound pendulum without suspensions; however, the equivalent mass centre of the standard beam is extended. The derived periodic solution shows that the oscillation period is tightly related to the initial pivot energy and several systemic parameters: beam length, masses of the beam, and suspensions, and the beam mass centre. A numerical example is calculated.
中图分类号: (Theoretical studies)