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Original Articles

Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II. Forced Motions

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Pages 449-461 | Received 02 Nov 1977, Published online: 03 Apr 2007

References

  • M. R. M. Crespo da Silva and C. C. Glynn , Non–linear flexural-flexural-torsional dynamics of inextensional beams. I. Equations of motion , J. Struct. Mech. 6 ( 4 ) 437 – 448 ( 1978 ).
  • E. C. Haight and W. W. King , Stability of nonlinear oscillations of an elastic rod , J. Acoust. Soc. Am. 52 899 – 911 ( 1971 ).
  • L. C. Rodgers and W. H. Warner , Dynamic stability of out of plane motion of curved elastic rods , SIAM J. Appl. Math. 24 36 – 43 ( 1973 ).
  • C. H. Ho , R. A. Scott , and J. G. Eisley , Non-planar, non-linear oscillations of a beam . 1. Forced motions , Int. J. Non-linear Mech. 10 113 – 127 ( 1975 ).
  • C. H. Ho , R. A. Scott , and J. G. Eisley , Non-planar, non-linear oscillations of a beam . II. Free motions , J. Sound Vib. 47 333 – 339 ( 1976 ).]
  • C. C. Glynn , M. R. M. Crespo da Silva , Non-planar, Non-linear Oscillations of an Elastic Rod , University of Cincinnati , Engineering Science Department Report No. E. S. 77 – 112 , 1977 .
  • M. R. M. Crespo da Silva and C. C. Glynn , Non-linear resonant oscillations infixed-free beams with support asymmetiy , Int. J. Solids Struct . ( in press ).
  • A. H. Nayfeh , Perturbation Methods , Wiley , New York , 1973 .
  • L. Meirovitch , Methods of Analytical Dynamics , McGraw–Hill , New York , 1970 .
  • B. T. Chen , Introduction to Linear System Theory , Holt, Reinhart , and Winston , New York , 1970 .

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