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Original Articles

A New Matrix Method for Solving Buckling and Free Vibration Problems of Circular Arches with Variable Rigidity

Pages 463-479 | Received 01 Sep 1985, Accepted 01 Jul 1986, Published online: 25 Jun 2007

REFERENCES

  • Fumio Kikuchi , On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements , Comput. Methods Appl. Mech. Eng. 5 ( 3 ) 253 – 276 ( 1975 ).
  • M. Gellert and M. E. Laursen , Formulation and convergence of a mixed finite element method applied to elastic arches of arbitrary geometry and loading , Comput. Methods Appl. Mech. Eng. 7 ( 3 ) 285 – 302 ( 1976 ).
  • Y. Yamada and Y. Ezawa , On curved finite elements for the analysis of circular arches . Int. J. Numer. Meth. Eng. 11 (1) 1635 – 1651 ( 1977 ).
  • D. J. Dawe , Curved finite elements for the analysis of shallow and deep arches , Compt. Struct. 4 ( 3 ) 559 – 580 ( 1974 ).
  • E. S. Awadalla , A direct matrix method for the elastic stability analysis of deep circular arches , Int. J. Numer. Meth. Eng. 8 (1) 119 – 138 ( 1974 ).
  • Yoshio Namita , et al., In-plane elastic buckling and second order elastic analysis of arches by transfer matrix method , Proc. Jap. Soc. Civ. Eng. 224 1 – 11 ( 1974 ) ( in Japanese ).
  • Yuying Huang , Stability and vibration of rectangular plates of variable thickness , Acta Mechanica Sinica , 395 – 398 ( 1979 ) ( in Chinese ).
  • S. P. Timoshenko and J. M. Gere , Theory of Elastic Stability , 2nd ed. , McGraw-Hill , New York , 1961 .
  • Werner Soedel , Vibrations of Shells and Plates , Marcel Dekker , New York , 1981 .
  • Yuying Huang , et al., Axisymmetrical deflections of cylindrical shells with variable thickness , Shanghai Mechanics 4 ( 1 ) 34–42 ( 1983 ) ( in Chinese ).
  • COMMUNICATED BY A. P. BORESI.

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