On the elastic-plastic deformation of cantilever beams subjected to tip impact

Abstract Following the earlier study by Symonds and Fleming [ Int. J. Impact Engng 2 , 1–36 (1984)], this paper examines certain features of the deformation of an elastic-plastic cantilever beam carrying a tip mass which is subjected to a short pulse loading. The role of elastic deformation in establishing the final distribution of deformation is described and the extent to which rigid-plastic analysis models the deformation process is discussed. Attention is drawn to the experimental support which exists for the predictions of the elastic-plastic analysis.

[1]  P. S. Symonds Elastic-Plastic Deflections Due To Pulse Loading , 1980 .

[2]  S.T.S. Al-Hassani,et al.  The impulsive loading of cantilevers , 1971 .

[3]  J. B. Martin,et al.  MODE APPROXIMATIONS FOR IMPULSIVELY LOADED RIGID PLASTIC STRUCTURES , 1965 .

[4]  P. S. Symonds,et al.  A Simplified Approach to Elastic-Plastic Response to General Pulse Loads , 1985 .

[5]  S. Bodner,et al.  Experimental and Theoretical Investigation of the Plastic Deformation of Cantilever Beams Subjected to Impulsive Loading , 1962 .

[6]  K. Graff Wave Motion in Elastic Solids , 1975 .

[7]  M. M. Al-Mousawi,et al.  On Experimental Studies of Longitudinal and Flexural Wave Propagations: An Annotated Bibliography , 1986 .

[8]  J. Kelly The impact of a mass on a beam , 1967 .

[9]  P. S. Symonds,et al.  SURVEY OF METHODS OF ANALYSIS FOR PLASTIC DEFORMATION OF STRUCTURES UNDER DYNAMIC LOADING , 1967 .

[10]  E. W. Parkes,et al.  The permanent deformation of a cantilever struck transversely at its tip , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  S. Reid,et al.  Bending of Long Steel and Aluminium Rods during end Impact with a Rigid Target , 1981 .

[12]  H. D. Hibbitt,et al.  ABAQUS/EPGEN–A GENERAL PURPOSE FINITE ELEMENT CODE WITH EMPHASIS ON NONLINEAR APPLICATIONS , 1984 .

[13]  P. S. Symonds,et al.  Parkes revisited: On rigid-plastic and elastic-plastic dynamic structural analysis , 1984 .

[14]  B. J. Baxter,et al.  Experiments on the impact bending of continuous and notched steel beams , 1986 .

[15]  Thomas C. T. Ting Large Deformation of a Rigid, Ideally Plastic Cantilever Beam , 1965 .