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5 th Joint Seminar in Tongjin University. Experimental and Numerical investigations of cylindrical shell with circular cutouts under compression. Presenter : Hayato Kozuma Co-Author: Prof. Hiroshi Matsuda, C heng Zhao Department of Structure Engineering, Nagasaki University.
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5th Joint Seminar in Tongjin University Experimental and Numerical investigationsof cylindrical shellwith circular cutoutsunder compression Presenter : Hayato Kozuma Co-Author:Prof. Hiroshi Matsuda, Cheng Zhao Department of Structure Engineering, Nagasaki University 2008.11.8 Shanghai
Tank Airplane body 5th Joint Seminar in Tongjin University INTRODUCTION Structural engineering Cylindrical shells Buckling under axial compression
Classical theory Experiment Numerical study BUCKGROUND 5th Joint Seminar in Tongjin University • The classical theory equation • Experimental investigations Classical equation [Timoshenko;1961] Sensitive to initial geometric imperfections • Numerical study Plots of experimental buckling load of cylindrical shell under axial compression [Weingarten et al., 1965] Only a few research considered the effect of cutouts
Non-linear FEA Experiment RESEACH 5th Joint Seminar in Tongjin University Study of cylindrical shell with circular cutouts under compression • Approaches Non-linear FE analysis MSC. Marc Mentat 2005 Experiment Digital Image Correlation Method
Y Camera1 Specimen Z Camera2 X Analysis system Sketch of DICM FE model ANALYSIS AND EXPERIMENT (1) 5th Joint Seminar in Tongjin University MSC. Marc Mentat 2005 Application theory *Arc length increment function *Large strain theory Digital Image Correlation Method 2 black and white digital cameras PC system Software *Snapping program (Vic-Snap) *Calculate program (Vic-3D)
t R z x a L y Coordinate system ANALYSIS AND EXPERIMENT (2) 5th Joint Seminar in Tongjin University • Specimens Aluminum alloys(A1070-0), Young’s modulus 60GPa, Poison ratio 0.3 Stress-strain curve • Conditions Upper boundary : X,Y,Z-dis = Fixed and X,Y,Z-rot = Free Lower boundary : X,Y-dis = Fixed and X,Y,Z-rot = Free Strain load : 5(mm) (upper z- dierection) Loading speed : 0.3mm/min
RESULTS AND DISCUSSIONS (1) 5th Joint Seminar in Tongjin University • Buckling loads *M-4-h2 is un-experimented Experimental and analytical buckling loads
0.545 dR(mm) -0.492 2300(N) 0.301 dR(mm) -0.308 900(N) RESULTS AND DISCUSSIONS (2) 5th Joint Seminar in Tongjin University • Post-buckling behaviors (1) FEA (2) DICM Load-end shortening curves Circumferential displacement dR of M-2-h2
+0.100 dR(mm) -0.100 +0.200 dR(mm) -0.200 M-2-h2 M-4-h1 Initial circumferential displacement RESULTS AND DISCUSSIONS (3) 5th Joint Seminar in Tongjin University • Effect of Initial imperfections Reduced factor
CONCLUTIONS 5th Joint Seminar in Tongjin University • Analytical results showed good correlations both one and two cutouts. While with increment of geometric parameter a, analytical model has a high requirement on the geometric imperfection properties foranalytical simulation. • Experimental buckling loads are also lower than analytical ones because of effect of initial geometric imperfections, Imperfect axial loading and boundary condition. • The circumference displacement dR distributions like an initial geometric imperfections been able to be sensitively measured by DICM. To be precise, the analysis that considers initial geometric imperfectionswill be carried out.
5th Joint Seminar in Tongjin University Thank you!! Hayato Kozuma Department of Structure Engineering, Nagasaki University
0.008 ezz -0.04 0.008 ezz -0.04 0.008 ezz -0.04 0.008 ezz -0.04 S-2-h1 S-2-h2 S-2-h1 S-2-h2 M-2-h1 M-2-h2 Z-direction strain distributions of buckling point After buckling Attention 5th Joint Seminar in Tongjin University DICM