Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (3): 283-292.

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A PERTURBATION SOLUTION OF FREE VIBRATION OF CYLINDRICAL SHELLS WITH RING-STIFFENERS

Li Long-yuan   

  1. Shanghai Institute of Appl. Math. & Mech., Shanghai
  • Received:1986-02-05 Online:1987-03-18 Published:1987-03-18

Abstract: In this paper, the free vibration of cylindrical sheel with ring-stiffeners is studied in detail by using the PLK method in singular perturbation and the general Hale's law, and the formulas calculating natural frequencies of cylindrical sheel with ring-stiffeners are expressed. Finally, the FEM solution is also given to prove the perturbation solution to be seemly, and this comparison shows that the method yields very good results.

Key words: generalized strongly nonlinear quasivariational inclusion, proximal point algorithm with errors

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