An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems

被引：0
|
作者：
P. S. Li
B. S. Wu
机构：
[1] School of Mathematics,Department of Mechanics and Engineering Science
[2] Jilin University,undefined
来源：
Acta Mechanica | 2004年 / 170卷
关键词：
Periodic Solution; Large Amplitude; Nonlinear Oscillation; Iteration Procedure; Oscillation Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the nonlinear oscillations of a conservative single-degree-of-freedom system with a general nonlinear restoring force. An iteration procedure is presented to solve the nonlinear oscillation equation. With the procedure, the analytical approximate period and the corresponding periodic solution, valid for small as well as large amplitudes of oscillation, can be established.
引用
收藏
页码：69 / 75
页数：6
相关论文
共 50 条
  • [1] An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems
    Li, PS
    Wu, BS
    ACTA MECHANICA, 2004, 170 (1-2) : 69 - 75
  • [2] An Iteration Method for Single-Degree-of-Freedom Nonlinear Dynamical Equation
    He-Xiang, Lu
    Wei-Dong, Li
    ADVANCES IN VIBRATION ENGINEERING, 2008, 7 (03): : 217 - 226
  • [3] SINGLE-DEGREE-OF-FREEDOM NONLINEAR HOMOGENEOUS SYSTEMS
    INAUDI, JA
    LEITMANN, G
    KELLY, JM
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 1994, 120 (07): : 1543 - 1562
  • [4] THE MEASUREMENT OF NONLINEAR DAMPING IN SINGLE-DEGREE-OF-FREEDOM SYSTEMS
    RICE, HJ
    FITZPATRICK, JA
    JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1991, 113 (01): : 132 - 140
  • [5] HE'S ITERATION PERTURBATION METHOD TO NONLINEAR OSCILLATIONS OF MECHANICAL SYSTEMS WITH SINGLE-DEGREE-OF FREEDOM
    Ganji, D. D.
    Karimpour, S.
    Ganji, S. S.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (11): : 2469 - 2477
  • [6] Blast Response of Single-Degree-of-Freedom Systems
    Nartu, Manoj Kumar
    Kumar, Manish
    JOURNAL OF STRUCTURAL ENGINEERING, 2021, 147 (01)
  • [7] Interaction of Connected Single-Degree-of-Freedom Systems
    Taheri, Ali
    Behnamfar, Farhad
    PROCEEDINGS OF THE TWELFTH EAST ASIA-PACIFIC CONFERENCE ON STRUCTURAL ENGINEERING AND CONSTRUCTION (EASEC12), 2011, 14
  • [8] ACCELERATION AND DECELERATION OF SINGLE-DEGREE-OF-FREEDOM SYSTEMS
    MARKERT, R
    PFUTZNER, H
    FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 1981, 47 (04): : 117 - 125
  • [9] Embedded Algorithms Within an FPGA to Classify Nonlinear Single-Degree-of-Freedom Systems
    Jones, Jonathan D.
    Pei, Jin-Song
    IEEE SENSORS JOURNAL, 2009, 9 (11) : 1486 - 1493
  • [10] Earthquake response of elastic single-degree-of-freedom systems with nonlinear viscoelastic dampers
    Lin, WH
    Chopra, AK
    JOURNAL OF ENGINEERING MECHANICS-ASCE, 2003, 129 (06): : 597 - 606
12345