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Original Articles

Effect of Extensibility on Large Deformation Three-Dimensional Static Behavior of Beams

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Pages 209-231 | Received 01 Apr 1985, Published online: 03 Apr 2007

REFERENCES

  • R. Frisch-Fay , Flexible Bars , Butterworths , London , 1962 .
  • S. Timoshenko and S. Woinowsky-Krieger , Theory of Plates and Shells , 2nd edition , McGraw-Hill , New York , 1959 , pp. 24 – 25 .
  • Z. Waszczyszyn and M. Zyczkowski , Finite elastic deflections of a stretchable beam on immovable supports , Archiwum Mechaniki Stosowanej 14 61 – 81 ( 1962 ).
  • Von Kurt Schmidt , Zum einfluss der dehnsteifigkeit bei der biegung elastischer, Gerader stábe , Forschung-lngenieur Wessen 35 121 – 128 ( 1969 ).
  • G. R. Buchanan , K. H. Yu , and J. C. Huang , Nonlinear analysis for a clamped bar , J. Appl. Mech. 36 355 – 357 ( 1969 ).
  • R. Schmidt and D. A. DaDeppo ,. Nonlinear theory of archer and beams with shear deformation , J. Appl. Mech. 39 1144 – 1146 ( 1972 ).
  • G. B. Sinclair , The nonlinear bending of a cantilever beam with shear and longitudinal deformations , Int. J. Nonlinear Mech. 14 111 – 122 ( 1979 ).
  • J. V. Huddleston and J. P. Dowd , A nonlinear analysis of extensible tie-rods , J. Struct. Div., ASCE 105 2456 – 2460 ( 1979 ).
  • D. P. Mondkar and G. H. Powell , Finite element analysis of nonlinear static and dynamic response , Int. J. Num. Meth. Eng. 11 499 – 520 ( 1977 ).
  • T. Y. Yang and S. Saigal , A simple element for static and dynamic response of beams with material and geometric nonlinearities , Int. J. Num. Meth. Eng. 20 851 – 867 ( 1984 ).
  • R. P. Nordgren , On computation of the motion of elastic rods , J. Appl. Mech. 96 777 – 780 ( 1974 ).
  • A. Love A Treatise on the Mathematical Theory of Elasticity , Cambridge University Press , 3rd edition , 1920 .
  • M. M. Bernitsas and J. E. Kokarakis , Nonlinear six degree of freedom dynamic model for risers, pipelines and beams . J. Ship Res. 30 ( 3 ) 177 – 185 ( 1986 ).
  • L. P. Eisenhart An Introduction to Differential Geometry , Princeton University Press , Princeton , 1947 .
  • M. M. Bernitsas , J. E. Kokarakis , and A. Imron , Large deformation three dimensional static analysis of deep water marine risers , Appl. Ocean Res. 7 ( 4 ) 178 – 187 ( 1985 ).
  • COMMUNICATED BY M. M. KAMAL

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