Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (4): 335-344.

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THE MECHANICAL METHOD OF CONSTRUCTING THE DISPLACEMENT FUNCTIONS IN ELASTICITY

Zhang Hong-qing, Feng Hong   

  1. Institute of Mathematical Science, Dalian Uniu of Tech Dalian ll6023, P. R. China
  • Received:1994-04-25 Online:1995-04-18 Published:1995-04-18
  • Supported by:

    Project supported by the Natural Natural Science Foundation of China and Mathematics Mechanization Research Center

Abstract: In this Paper we have proven the general solution to the equations of linear operatorsAu=f as u=Cv+e. where v satisfies the equation Dv=g and D is adiagonal matrix. Basing on the consstructive proof of Hilbert Nullstellensatz. we haregiven the mechanical method of constucting C. D and e.and some of the mechanicalalgorithm displacement functions in elasticity are given by this method also.

Key words: elasticity, displacement function, mechanical algorithm, Hilbertnullstellensatz

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