EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 30 Issue 2
Turn off MathJax
Article Contents
Abstract
Related Articles
PRINCIPAL RESPONSE OF DUFFING OSCILLATOR TO COMBINED DETERMINISTIC AND NARROW BAND RANDOM PARAMETERIC EXCITATION 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(2): 178-185. DOI: 10.6052/0459-1879-1998-2-1995-114
Citation: PRINCIPAL RESPONSE OF DUFFING OSCILLATOR TO COMBINED DETERMINISTIC AND NARROW BAND RANDOM PARAMETERIC EXCITATION 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(2): 178-185. DOI: 10.6052/0459-1879-1998-2-1995-114
shu

PRINCIPAL RESPONSE OF DUFFING OSCILLATOR TO COMBINED DETERMINISTIC AND NARROW BAND RANDOM PARAMETERIC EXCITATION 1)

  • 一系

    Graphical Abstract
    • Abstract
  • The principal resonance of a Duffing oscillator to combined deterministic and narrow band random parametric excitations is investigated. In particular, the case in which the parametric terms sharing close frequencies is examined. For the first time, the method of multiple scales is used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response are studied by means of qualitative analyses. Jumps are shown to occur if the random excita...
    • FullText(HTML)
    • References (0)
    • Related Articles

  • Related Articles

    [1]Wan Honglin, Li Xianghong, Shen Yongjun, Wang Yanli. STUDY ON VIBRATION REDUCTION OF DYNAMIC VIBRATION ABSORBER FOR TWO-SCALE DUFFING SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(11): 3136-3146. DOI: 10.6052/0459-1879-22-286
    [2]Fan Shutong, Shen Yongjun. EXTENSION OF MULTI-SCALE METHOD AND ITS APPLICATION TO NONLINEAR VISCOELASTIC SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(2): 495-502. DOI: 10.6052/0459-1879-21-487
    [3]Zhang Bo, Ding Hu, Chen Liqun. ACTIVE VIBRATION CONTROL OF A ROTATING BLADE BASED ON MACRO FIBER COMPOSITE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(4): 1093-1102. DOI: 10.6052/0459-1879-20-448
    [4]Li Hang, Shen Yongjun, Li Xianghong, Han Yanjun, Peng Mengfei. PRIMARY AND SUBHARMONIC SIMULTANEOUS RESONANCE OF DUFFING OSCILLATOR[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(2): 514-521. DOI: 10.6052/0459-1879-19-349
    [5]Ren Yongsheng, Yao Donghui. PRIMARY RESONANCES OF AN INTERNALLY DAMPED ROTATING COMPOSITE SHAFT WITH NONLINEARITIES IN CURVATURE AND INERTIA[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(4): 907-919. DOI: 10.6052/0459-1879-17-002
    [6]Huang Yong Li Shenghong Liu Xianbin. On the moment lyapunov exponent of a viscoelastic plate subjected to the excitation of wide band noises[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(3): 551-560. DOI: 10.6052/0459-1879-2011-3-lxxb2009-776
    [7]Jianhua Liu, Xianbi Liu. The maximal lyapunov exponent for a three-dimensional stochastic system[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(3): 521-528. DOI: 10.6052/0459-1879-2010-3-2008-745
    [8]Hao Zhu, Keming Cheng. The lyapunov exponent of vortex dynamics[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(5): 789-793. DOI: 10.6052/0459-1879-2009-5-2008-469
    [9]Yanmao Chen, Jike Liu. Remarks on the ambiguity in multiple scales method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(1): 137-140. DOI: 10.6052/0459-1879-2007-1-2006-293
    [10]A method for calculating the spectrum of lyapunov exponents of non-smooth dynamical systems[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(1): 40-47. DOI: 10.6052/0459-1879-2005-1-2004-134

  • Cited by

    Periodical cited type(4)

    1. 张树佰 ，丁喆 ，黄垲轩 ，张严 . 基于灰狼优化算法的变截面点阵结构设计及性能优化. 力学学报. 2024(06): 1702-1712 . 本站查看
    2. 朱飞鹏，李荣杰，白鹏翔，康新. 基于光学引伸计的PLA材料拉伸性能测试. 力学季刊. 2024(04): 953-960 .
    3. 黄垲轩 ，丁喆 ，张严 ，李小白 . 高承载梯度分层点阵结构的拓扑优化设计方法. 力学学报. 2023(02): 433-444 . 本站查看
    4. 肖李军，李实，冯根柱，石高泉，宋卫东. 增材制造三维微点阵材料力学性能表征与细观优化设计研究进展. 固体力学学报. 2023(06): 718-754 .

    Other cited types(0)

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (1841) PDF downloads (702) Cited by(4)
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

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

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return