Journal of Central South University of Technology

, Volume 13, Issue 6, pp 624–630 | Cite as

Dynamic analytic model of mechanism with links fabricated from symmetric laminates

  • Cai Gan-wei  (蔡敢为)Email author
  • Chang Ping-ping  (常平平)
  • Ma Cun-zhi  (马存志)
  • Wang Ru-gui  (王汝贵)
  • Li Zhao-jun  (李兆军)


A four-bar linkage mechanism with links fabricated from symmetric laminates was studied. The mass matrix of the beam element was obtained in light of the mass distribution characteristics of composite materials. The stiffness matrix of the beam element was derived from the constitutive equations of each layer and the relationship between the strain distribution and the node displacement of the beam element. The specific damping capacity of the beam element was analyzed according to the strain distribution of the beam element and the strain energy dissipation caused by vibration in each direction of each layer; and the damping coefficients were obtained according to the principle that the total energy dissipation of the beam element was equal to the work done by the equivalent damping force during a cycle of vibration, from which the damping matrix of the dynamic equations was obtained. Using the finite element method, the dynamic analytic model of the mechanism was obtained. The dynamic responses and natural frequency of the mechanism were obtained by simulation, respectively, and those of the simulation obtained by the proposed model were analyzed and compared with the results obtained by the conventional model. The work provides theoretical basis to a certain extent for the further research on nonlinear vibration characteristics and optimum design of this kind of mechanism.

Key words

linkage mechanism finite element method composite materials damping dynamic analysis 

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Thompson B S. An experimental and analytical study of the dynamic response of a linkage fabricated from a unidirectional fibre-reinforced composite laminate[J]. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1983, 105(3): 528–536.CrossRefGoogle Scholar
  2. [2]
    Thompson B S, Sung C K. A variational formulation for the dynamic viscoelastic finite element analysis of robotics manipulations constructed from composite materials[J]. ASME Journal of Mechanisms, Transmissions and Automation in Design, 1984, 106(2): 183–190.CrossRefGoogle Scholar
  3. [3]
    Stamps F R, Basic C. Dynamics of planar, elastic high-speed mechanisms considering three-dimensional offset geometry: analytical and experimental investigations[J]. ASME Journal of Mechanisms, Transmissions, and Automation in Design, 1983, 105(7): 498–510.CrossRefGoogle Scholar
  4. [4]
    SHEN Guan-lin. Mechanics of composite materials[M]. Beijing: Tsinghua University Press, 1996.(in Chinese)Google Scholar
  5. [5]
    Ochoa O O, Redddy J N. Finite element analysis of composite laminates[M]. Netherlands: Kluwer Academic Publishers, 1992.CrossRefGoogle Scholar
  6. [6]
    Suong V H, WEI Feng. Hybrid finite element method for stress analysis of laminated composites [M]. Massachusetts: Kluwer Academic Publishers, 1998.zbMATHGoogle Scholar
  7. [7]
    Dristescu N D, Craciun E M. Mechanics of elastic Composites[M]. Florida: Chapman & Hall/Crc, 2004.Google Scholar
  8. [8]
    ZHANG Shao-shi, ZHUANG Zhou. Composite materials and viscoelasticity mechanics[M]. Beijing: China Machine Press, 2005.(in Chinese)Google Scholar
  9. [9]
    Jong H Y, Shee Y C. A study on material damping of 0° laminated composite sandwich cantilever beams with a viscoelastic layer[J]. Composite Structures, 2003, 60: 367–374.CrossRefGoogle Scholar
  10. [10]
    Adams R D, Bacon D G C. Effect of orientation and laminated geometry on the dynamic properties of CFRP[J]. Composite Material, 1973, 1(10): 402–409.CrossRefGoogle Scholar
  11. [11]
    SHI Jun-ping, LIU Xie-hui, CHEN Yi-xiang. Higher order deformation theory for dynamic analysis of composite sandwich shells[J]. Acta Materiae Compositae Sinica, 1997, 14(4): 108–113.(in Chinese)Google Scholar
  12. [12]
    SHI Han-min, SHEN Gang, WU Ya. Mechanical vibration system: analysis measurement modeling control[M]. Wuhan: Huazhong University of Science & Technology Press, 2004: 70–74.(in Chinese)Google Scholar

Copyright information

© Published by: Central South University Press, Sole distributor outside Mainland China: Springer 2006

Authors and Affiliations

  • Cai Gan-wei  (蔡敢为)
    • 1
    Email author
  • Chang Ping-ping  (常平平)
    • 1
  • Ma Cun-zhi  (马存志)
    • 1
  • Wang Ru-gui  (王汝贵)
    • 1
  • Li Zhao-jun  (李兆军)
    • 2
  1. 1.College of Mechanical EngineeringGuangxi UniversityNanningChina
  2. 2.School of Mechanical Science & EngineeringHuazhong University of Science & TechnologyWuhanChina

Personalised recommendations