A Complete Physical Unfolding for the Dual Buckling Eigenvalue Problem for a Beam on an Elastic Foundation

References

• J. S. Hansen , Some two mode buckling problems and their relation to catastrophe theory , AIAA 15 ( 11 ) 1638 – 1644 , ( 1977 ).
   Web of Science ®Google Scholar
• V. Mandadi and K. Huseyin , The effect of symmetry on the imperfection sensitivity of coincident critical points , Ing. Arch . 47 35 – 45 ( 1978 ).
   Web of Science ®Google Scholar
• P. Samuels and J. Stevens , Instability of dual eigenvalue fourth order systems , J. Struct. Mech . 10 ( 2 ) 209 – 225 ( 1982 ).
   Web of Science ®Google Scholar
• P. Samuels and R. A. Bousfield , An investigation of dual eigenvalue third and fourth order systems using trigonometric polynomials and differential geometry , ( To Appear ).
   Google Scholar
• W. J. Supple , Coupled Buckling Modes of Structures , in Structural Instability , Surrey, 1973 ( W. J. Supple, ed .), IPC , 1973 .
   Google Scholar
• R. Magnus and T. Poston , On the full unfolding of the Von Karman equations at a double eigenvalue , Math. Report 109 , Battelle-Geneva , ( 1977 ).
   Google Scholar
• T. Poston and I. Stewart , Catastrophe Theory and its Applications , Pitman , London , 1978 .
   Google Scholar
• J. M. T. Thompson and G. W. Hunt , A General Theory of Elastic Stability , Wiley , London , 1973 .
   Google Scholar
• D. R. J. Chillingworth , Differential Topology with a view to Applications , Pitman , London , 1976 .
   Google Scholar
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   Google Scholar