Chaotic vibration of a shape memory alloy beam subjected to an axial dynamic load

被引:0
作者
Zhang Qingquan [1 ]
Yao Jin [1 ]
Du Changcheng [2 ]
Li Yinghui [2 ]
机构
[1] Sichuan Univ, Sch Mfg Sci & Engn, Chengdu 610065, Peoples R China
[2] Southwest Jiaotong Univ, Dept Appl Mech & Engn, Chengdu 610031, Peoples R China
来源
2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年
关键词
shape memory alloy; beam; dynamic stability; chaos;
D O I
10.1109/WCICA.2008.4594604
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the dynamic behaviors of a shape memory alloy beam subjected to an axial dynamic load is studied. Based on the constitutive description of the thermo-mechanical and pseudo-elastic behaviors of the shape memory alloy material and the dynamic equilibrium equation of beam, the nonlinear dynamic model which dominates the transverse vibration of the beam is established first. And then the relations between the dynamic stability of the beam and the equilibrium of the material phase are investigated by using the qualitative analysis method of a differential dynamic system. Finally, the effects of the temperature and the axial load parameter and also the environmental damp on the chaotic behaviors of the system are investigated by using numerical simulation. It is found that the dynamic stability of the transverse vibration of the beam is consistent with the stability of material phase. At a temperature where both martensite and austensite coexist, the chaotic characteristic is the strongest and an increase in the value of load parameter is related to an increase in the chaotic motion, but an increase in the value of damp parameter is related to a decrease in chaotic behaviors.
引用
收藏
页码:8234 / +
页数:2
相关论文
共 50 条
  • [41] Local displacements and load transfer in shape memory alloy composites
    K. Jonnalagadda
    G. E. Kline
    N. R. Sottos
    Experimental Mechanics, 1997, 37 : 78 - 86
  • [42] Nonlinear vibration of Timoshenko FG porous sandwich beams subjected to a harmonic axial load
    Lezgi, Milad
    Nikoo, Moein Zanjanchi
    Ghadiri, Majid
    EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION, 2024, 23 (03) : 649 - 662
  • [43] Nonlinear vibration and bifurcation analysis of simply supported beam laminated with superelastic shape memory alloy (SMA) layers
    Zhang, Zhenhua
    Wu, Zhiqiang
    THIRD INTERNATIONAL CONFERENCE ON SMART MATERIALS AND NANOTECHNOLOGY IN ENGINEERING, 2012, 8409
  • [44] Dynamic loading of polycrystalline shape memory alloy rods
    Lagoudas, DC
    Ravi-Chandar, K
    Sarh, K
    Popov, P
    MECHANICS OF MATERIALS, 2003, 35 (07) : 689 - 716
  • [45] Experimental study on vibration control using shape memory alloy based vibration absorber
    Mane, Pravin Uttam
    Kondekar, Gangadhar Ramrao
    MATERIALS TODAY-PROCEEDINGS, 2021, 45 : 2812 - 2817
  • [46] Nonlinear Vibration of a Viscoelastic Beam Subjected to Both Axial Forces and Transverse Magnetic Field
    Huang, Zhihua
    Zhang, Qingquan
    Du, Changcheng
    Li, Yinghui
    ADVANCES IN VIBRATION ENGINEERING, 2011, 10 (02): : 167 - 176
  • [47] Analysis of dynamic stability of a tapered two layer elastic beam resting on a variable Pasternak foundation subjected to axial pulsating load
    Mohanty, Madhumita
    Pramanik, Sourav Kumar
    Pradhan, Madhusmita
    MATERIALS TODAY-PROCEEDINGS, 2021, 46 : 4464 - 4469
  • [48] Experiment of beam crack repair using Shape Memory Alloy
    Yang, Qingping
    Sun, Li
    Feng, Yanzhong
    FRONTIERS OF GREEN BUILDING, MATERIALS AND CIVIL ENGINEERING, PTS 1-8, 2011, 71-78 : 1707 - +
  • [49] DYNAMIC PROPERTIES OF POST-BUCKLED SHAPE MEMORY ALLOY AND ITS APPLICATION TO A BASE ISOLATOR FOR VERTICAL VIBRATION
    Urakawa, Atsushi
    Sasaki, Takumi
    Cho, Hiroki
    INTERNATIONAL JOURNAL OF GEOMATE, 2021, 20 (82): : 101 - 108
  • [50] Study on Vibration Control of Long Cable with Shape Memory Alloy Damper
    Liu, Ai-Rong
    Yu, Qi-Cai
    Zhang, Jun-Ping
    Xie, Sheng-Fen
    Guo, Yu-Zhu
    ADVANCED SCIENCE LETTERS, 2011, 4 (8-10) : 3023 - 3026