Volume 22 Issue 3
Turn off MathJax
Article Contents
Abstract
Related Articles
ZHUO Rui-hua, FENG Shu-zhong. DYNAMIC STABILITY OF VISCOELASTIC BEAM UNDER FOLLOWER FORCES[J]. Engineering Mechanics, 2005, 22(3): 26-30,3.
Citation: ZHUO Rui-hua, FENG Shu-zhong. DYNAMIC STABILITY OF VISCOELASTIC BEAM UNDER FOLLOWER FORCES[J]. Engineering Mechanics, 2005, 22(3): 26-30,3.
shu

DYNAMIC STABILITY OF VISCOELASTIC BEAM UNDER FOLLOWER FORCES

  • Institute of Military Traffic of PLA, Tianjin 300161, China

More Information
  • Received Date: June 20, 2003
  • Revised Date: November 10, 2003
    Graphical Abstract
    • Abstract
  • The unified differential equation of buckling and motion of viscoelastic beams under uniformly distributed follower forces in time domain is established by differential operators. The equation has extensive applicability and is suitable for various viscoelastic models. The governing equation of a three-parameter viscoelastic model is obtained. The dynamic descretization equation(complex eigenvalue)of viscoelastic beams of three-parameter model under follower forces is derived by power series method. Boundary conditions such as simply-simply, clamped-clamped and simply-clamped ends are considered. The curves of negative real part(decaying coefficient)and imaginary part(decaying vibration frequency)versus uniformly distributed follower forces are obtained using quasi-Newton method.
    • FullText(HTML)
    • References (0)
    • Related Articles

  • Related Articles

    [1]LI Zhi-yuan, HUANG Dan, YAN Kang-hao. METHOD FOR DYNAMIC CHARACTERISTIC ANALYSIS OF BEAMS WITH VARYING CROSS-SECTIONS BY USING PERIDYNAMIC DIFFERENTIAL OPERATOR[J]. Engineering Mechanics, 2022, 39(12): 23-30. DOI: 10.6052/j.issn.1000-4750.2021.07.0579
    [2]LI Shu-chen, MA Peng-fei, WANG Xiu-wei, LIU Xiang-kun. PERIDYNAMICS AND NUMERICAL SIMULATION OF SOLID MATERIAL STRESS BASED ON NONLOCAL DIFFERENTIAL OPERATOR[J]. Engineering Mechanics, 2022, 39(11): 42-51. DOI: 10.6052/j.issn.1000-4750.2021.07.0520
    [3]XU Feng, GUO Chang-qing, HUANG Jian-hong. STABILITY OF ELASTICALLY SUPPORTED PIPES CONVEYING FLUID WITH DISTRIBUTED FOLLOWER FORCE[J]. Engineering Mechanics, 2014, 31(7): 234-238,256. DOI: 10.6052/j.issn.1000-4750.2012.10.0763
    [4]XU Guo-shan, WANG Shuai-kun, WU Bin, OU Jin-ping. OPERATOR-SPLITTING METHOD FOR DYNAMIC SUBSTRUCTURE TESTING[J]. Engineering Mechanics, 2014, 31(2): 73-80. DOI: 10.6052/j.issn.1000-4750.2012.09.0681
    [5]LI Xiu-mei, WU Feng, ZHANG Ke-shi. A HIGH-PRECISION PERTURBATION SOLUTION FOR STRUCTURAL DYNAMIC DIFFERENTIAL EQUATIONS[J]. Engineering Mechanics, 2013, 30(5): 8-12. DOI: 10.6052/j.issn.1000-4750.2011.11.0770
    [6]GAO Hong-bo, LIU Lin-chao, YAN Qi-fang. LATERAL VIBRATION OF PILE GROUPS IN VISCOELASTIC SOIL LAYER DESCRIBED BY FRACTIONAL DERIVATIVE OPERATOR[J]. Engineering Mechanics, 2012, 29(6): 160-168. DOI: 10.6052/j.issn.1000-4750.2010.09.0649
    [7]JIN Jian-min, ZHOU Fu-lin. STUDY ON PRE-YIELD SHEAR STIFFNESS OF DIFFERENTIAL RESTORING FORCE MODEL FOR LEAD RUBBER BEARING[J]. Engineering Mechanics, 2010, 27(10): 7-013.
    [8]DYNAMIC STABILITY OF MOVING VISCOELASTIC PLATE SUBJECTED TO FOLLOWER FORCE[J]. Engineering Mechanics, 2009, 26(1): 25-030.
    [9]XIE Jing-zhong. THE METHOD OF INTEGRATION OPERATORS FOR PRESTRESSED NON-UNIFORM BEAM[J]. Engineering Mechanics, 2006, 23(S1): 46-51.
    [10]NIE Guo-jun, ZHONG Zheng. ELASTO-PLASTIC ANALYSIS OF BEAMS BY DIFFERENTIAL QUADRATURE METHOD[J]. Engineering Mechanics, 2005, 22(1): 59-62,2.

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1045) PDF downloads (414) Cited by()
    Related

    京ICP备18030614号

    Copyright © 《工程力学》编辑部

    Address: North-Star Times Tower, No.8 Beichendong Road, Chaoyang District, Beijing, China China Pos: 100084

    Tel: (010)62788648 Fax: 021-64253812 Email: gclxbjb@tsinghua.edu.cn

    Supported by: Beijing Renhe Information Technology Co.,Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return