Impulsive Loading of Fully Clamped Beams with Finite Plastic Deflections.

Abstract : A review is given of earlier work on the plastic response to impulsive loading of a beam clamped against end rotation and axial displacements, taking account of small finite transverse displacements and ofstrain rate dependence of the yield stress. New solutions are derived from rigid-plastic analysis which include both effects in simple approximate ways. Deflections are compared as obtained from these formulas, from experiments described here on mild steel beams, and from finite-difference numerical solutions using the M. I. T. rod model with elastic-plastic strain rate sensitive behavior. The significance of agreements observed is discussed. (Author)

[1]  P. S. Symonds,et al.  Impulsive loading of plastic beams with axial constraints , 1958 .

[2]  N. Jones.  Influence of strain-hardening and strain-rate sensitivity on the permanent deformation of impulsively loaded rigid-plastic beams☆ , 1967 .

[3]  Nicholas Perrone,et al.  On a Simplified Method for Solving Impulsively Loaded Structures of Rate-Sensitive Materials , 1965 .

[4]  Norman Jones,et al.  An experimental study into the dynamic plastic behaviour of wide beams and rectangular plates , 1971 .

[5]  William Prager,et al.  Limit analysis of arches , 1953 .

[6]  A. L. Florence.  Traveling Force on a Timoshenko Beam , 1965 .

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

[8]  Taijiro Nonaka.  Some Interaction Effects in a Problem of Plastic Beam Dynamics—Part 1: Interaction Analysis of a Rigid, Perfectly Plastic Beam , 1967 .

[9]  John W. Leech.  DYNAMIC RESPONSE OF SHELLS TO EXTERNALLY APPLIED DYNAMIC LOADS , 1962 .

[10]  John S. Humphreys.  Plastic Deformation of Impulsively Loaded Straight Clamped Beams , 1965 .

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

[12]  E. A. Witmer,et al.  LARGE DYNAMIC DEFORMATIONS OF BEAMS, RINGS, PLATES, AND SHELLS , 1963 .

[13]  J. Duffy,et al.  On the Use of a Torsional Split Hopkinson Bar to Study Rate Effects in 1100-0 Aluminum , 1971 .

[14]  A. L. Florence,et al.  Rigid-Plastic Beams Under Uniformly Distributed Impulses , 1965 .

[15]  A DISPLACEMENT BOUND PRINCIPLE FOR INELASTIC CONTINUA SUBJECTED TO CERTAIN CLASSES OF DYNAMIC LOADING , 1965 .