Vibration of string with time-varying length

被引：0
|
作者：
Kanayama, Tadashi
Kotera, Tadashi
机构：
来源：
Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C | 1993年 / 59卷 / 564期
关键词：
Differential equations - Equations of motion - Integral equations - Rope;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Free vibration of string with time-varying length is analyzed. An equation of motion described by a partial differential equation cannot be solved by the method of variable separation. In the present paper the equation of motion of a string with a constant length is described by a partial integro-differential equation. Then, vibrations with a moving support acted upon by an unknown load are analyzed. From the condition that the displacement of the string at the support is zero, an integral equation of Volterra type of the first kind with respect to an unknown load is obtained. This integral equation is solved approximately and solutions of free vibrations are obtained.
引用
收藏
页码：2415 / 2420
相关论文
共 50 条
  • [1] A new wave technique for free vibration of a string with time-varying length
    Lee, SY
    Lee, M
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2002, 69 (01): : 83 - 87
  • [2] VIBRATIONS OF STRING WITH TIME-VARYING LENGTH
    NAKAGAWA, K
    BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1979, 22 (172): : 1507 - 1507
  • [3] VIBRATIONS OF STRING WITH TIME-VARYING LENGTH
    KOTERA, T
    BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1978, 21 (160): : 1469 - 1474
  • [4] A Nonlinear Vibration Control of a String Using the Method Based on Its Time-Varying Length
    Wang, Jiahui
    Liu, Jing
    Pan, Guang
    MACHINES, 2022, 10 (11)
  • [5] Robust adaptive vibration control for a string with time-varying output constraint
    He, Wei
    Jing, Zhe
    He, Xiuyu
    Liu, Jin-Kun
    Sun, Changyin
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (17) : 5213 - 5231
  • [6] OPTIMAL CONTROL OF TRANSVERSE VIBRATION OF A MOVING STRING WITH TIME-VARYING LENGTHS
    Sun, Bing
    MATHEMATICAL CONTROL AND RELATED FIELDS, 2022, 12 (03) : 733 - 746
  • [7] Vibration Control of a Flexible Marine Riser with Time-Varying Length
    Phuong-Tung Pham
    Hong, Keum-Shik
    2019 12TH ASIAN CONTROL CONFERENCE (ASCC), 2019, : 778 - 783
  • [8] Transverse vibration of flexible hoisting rope with time-varying length
    Bao, Ji-hu
    Zhang, Peng
    Zhu, Chang-Ming
    Sun, Wei
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2014, 28 (02) : 457 - 466
  • [9] Longitudinal vibration of rope hoisting systems with time-varying length
    Bao, Ji-Hu
    Zhang, Peng
    Zhu, Chang-Ming
    Zhu, C.-M., 1600, Chinese Vibration Engineering Society (32): : 173 - 177
  • [10] Dynamic analysis of hoisting viscous damping string with time-varying length
    Zhang, P.
    Bao, J. H.
    Zhu, C. M.
    4TH SYMPOSIUM ON THE MECHANICS OF SLENDER STRUCTURES (MOSS2013), 2013, 448
12345