Closed-form approximate solution for natural frequency of axially moving beams

被引:21
|
作者
Yang, Tianzhi [1 ]
Fang, Bo [1 ]
Yang, Xiao-Dong [2 ]
Li, Yuhang [3 ]
机构
[1] Shenyang Aerosp Univ, Dept Astronaut, Shenyang 110136, Peoples R China
[2] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
[3] Northwestern Univ, Dept Civil & Environm Engn, Evanston, IL 60208 USA
基金
中国国家自然科学基金;
关键词
Axially moving beam; Natural frequency; Artificial parameter method; VIBRATION; STABILITY; MODES;
D O I
10.1016/j.ijmecsci.2013.05.010
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this study, the artificial parameter method is utilized to find closed-form, approximate natural frequencies of axially moving beam. The method provides efficient approximate natural frequencies for the beam with different boundary conditions. The validity and accuracy of the obtained solution are examined by comparing with numeric values and data found in the literature. It is shown that the present solution is valid and accurate for both high axial speed and large bending stiffness. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:154 / 160
页数:7
相关论文
共 50 条
  • [31] APPROXIMATE CLOSED-FORM SOLUTION OF PROBLEM OF STRONG POINT EXPLOSION IN A NONHOMOGENEOUS BODY
    KALISKI, S
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1973, 21 (11): : 915 - 920
  • [32] A SIMPLE-MODEL FOR FRACTURE IN A LAMINATED STRIP AND AN APPROXIMATE SOLUTION IN CLOSED-FORM
    FAN, TY
    MAIER, M
    KERTH, S
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1994, 5 (02): : 219 - 221
  • [33] APPROXIMATE CLOSED-FORM ANALYTICAL SOLUTION OF THE DESUBLIMATION PROBLEM IN A POROUS-MEDIUM
    RAI, KN
    RAI, S
    INTERNATIONAL JOURNAL OF ENERGY RESEARCH, 1995, 19 (04) : 279 - 288
  • [34] Approximate solutions of axially moving viscoelastic beams subject to multi-frequency excitations
    Yang, Tian-zhi
    Fang, Bo
    Chen, Yang
    Zhen, Ya-xin
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (02) : 230 - 238
  • [35] Closed-Form Solution for the Natural Frequencies of Low-Speed Cracked Euler-Bernoulli Rotating Beams
    Munoz-Abella, Belen
    Rubio, Lourdes
    Rubio, Patricia
    MATHEMATICS, 2022, 10 (24)
  • [36] A Closed-form Solution for Superelastic Shape Memory Alloy Beams Subjected to Bending
    Mirzaeifar, Reza
    DesRoches, Reginald
    Yavari, Arash
    Gall, Ken
    BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2012, 2012, 8342
  • [37] Apparently First Closed-Form Solution for Vibration of Functionally Graded Rotating Beams
    Elishakoff, I.
    Zaza, N.
    Curtin, J.
    Hashemi, J.
    AIAA JOURNAL, 2014, 52 (11) : 2587 - 2593
  • [38] A closed-form solution for accurate stress analysis of functionally graded Reddy beams
    Ruocco, Reddy E.
    Reddy, J. N.
    COMPOSITE STRUCTURES, 2023, 307
  • [39] Closed-Form AOA-TDOA-FDOA Solution for Moving Source Location
    Xiong J.
    Chen J.
    Ning J.
    Cao S.-Q.
    Yang H.
    Wan H.-R.
    Dianzi Keji Daxue Xuebao/Journal of the University of Electronic Science and Technology of China, 2020, 49 (02): : 219 - 227
  • [40] Apparently first closed-form solution for frequency of beam with rotational spring
    Elishakoff, I
    AIAA JOURNAL, 2001, 39 (01) : 183 - 186