Study of form and force for unstable systems in geometrical stable equilibrium state
  
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DOI:10.7511/jslx19981007
KeyWord:unstable system, geometrical stability, equilibrium state, prestresed force,
Liu Yuxin
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Abstract:
      \ The tensegrity, membrane, suspension cable are belong to unstable systems. This paper divides the equilibrium state of unstable system into two state:one is geometrical stable equilibrium state, the other is elastic stable equilibrium state. A method is developed to calculate the form and internal forces in geometrical stable equilibrium state, and the convergence is provided. The results of calculating the chain, suspended cable and tensegrity show that the method proposed has a good convergence and a high precision.