Computational Mechanics

, Volume 57, Issue 5, pp 843–858 | Cite as

A peridynamic model for the nonlinear static analysis of truss and tensegrity structures

  • Hui Li
  • Hongwu Zhang
  • Yonggang ZhengEmail author
  • Liang Zhang
Original Paper


A peridynamic model is developed in this paper for the nonlinear static analysis of truss and tensegrity structures. In the present model, the motion equations of material points are established on the current configuration and the pairwise forces are functions of extension and direction of the bonds. The peridynamic parameters are obtained based on the equivalence between the strain energy densities of the peridynamic and classical continuum models. The present model is applied to the mechanical analysis of bimodular truss and tensegrity structures, in which the compressive modulus is set to be zero for the cables. Several representative examples are carried out and the results verify the validity and efficiency of the developed model by comparing with the conventional nonlinear finite element method.


Peridynamic model Truss structures Tensegrity structures Nonlinearity Bimodularity Adaptive dynamic relaxation 



The supports from the National Natural Science Foundation of China (11232003, 11272003 and 91315302), the 111 Project (B08014), Program for New Century Excellent Talents in University (NCET-13-0088), Ph.D. Programs Foundation of Ministry of Education of China (20130041110050) and Fundamental Research Funds for the Central Universities are gratefully acknowledged.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Hui Li
    • 1
  • Hongwu Zhang
    • 1
  • Yonggang Zheng
    • 1
    Email author
  • Liang Zhang
    • 1
    • 2
  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and MechanicsDalian University of TechnologyDalianPeople’s Republic of China
  2. 2.Department of Engineering Mechanics, College of Aerospace EngineeringChongqing UniversityChongqingPeople’s Republic of China

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