Journal of Shanghai Jiao Tong University ›› 2016, Vol. 50 ›› Issue (03): 345-350.

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Analysis of Distributed Static and Kinematic Indeterminacy of Pretensioning CableStrut Systems

ZHOU Jinyu,CHEN Wujun,DU Bin,GAO Chengjun   

  1. (Space Structures Research Center, Shanghai Jiaotong University, Shanghai 200240, China)
  • Received:2015-01-12 Online:2016-03-28 Published:2016-03-28

Abstract: Abstract: An analytical approach to the distributed static and kinematic indeterminacy taking into account the stiffness as well as the topology and geometry was developed for pretensioning cablestrut systems, making it possible to identify the structural system in terms of every component rather than the whole system. Based on the equilibrium matrix theory, the singular value decomposition (SVD) method was adopted to calculate two pairs of orthogonal modes, i.e., the modes of compatible/ incompatible elongations and the modes of compatible/ incompatible loads. Due to the orthogonality that indeed avoids the singularity problem, the proposed approach was applicable to kinematically determinate structures and even kinematically indeterminate structures. It is shown that the distributed static indeterminacy is closely related to the structural robustness theory based on the importance indices and the structural sensitivity theory, while the distributed kinematic indeterminacy can reveal the nodal mobility in every equilibrate configuration. Besides, an algorithm was developed to implement this approach and two examples of cablestrut system were presented to demonstrate its robustness and accuracy.

Key words: Key words: cablestrut system, equilibrium matrix, singular value decomposition, distributed static indeterminacy, distributed kinematic indeterminacy, component importance, redundancy

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