Dynamic response of internally nested hemispherical shell system to impact loading

Abstract The dynamic deformation behaviors of the internally nested hemispherical shell system (INHSS), were explored experimentally and computationally. Two specimens with different ratios of inner shell thickness δ to outer shell thickness Δ were tested in a drop weight machine. For the specimen with smaller δ / Δ , non-axisymmetric deformation mode occurred with a stable force platform and longer loading history, while for the specimen with larger δ / Δ , axisymmetric deformation was exhibited. Meanwhile, experimentally validated finite element model was employed to study the deformation mechanism after the critical point when the outer shell contacts with the inner shell based on the ratio of square of shell thickness to radius. Subsequently, parametric studies are conducted by varying governing factors, including thickness, radius and offset distance of the inner shell. Results show that the dynamic deformation process and energy absorption capability of the INHSS depends on the thickness and radius of the inner shell.

[1]  Tongxi Yu,et al.  Energy Absorption of Structures and Materials , 2003 .

[2]  G. L. Easwara Prasad,et al.  Axial compression of metallic spherical shells between rigid plates , 1999 .

[3]  Michael D. Gilchrist,et al.  Optimised design of nested circular tube energy absorbers under lateral impact loading , 2008 .

[4]  R. Velmurugan,et al.  Experimental and numerical investigations into collapse behaviour of thin spherical shells under drop hammer impact , 2007 .

[5]  Hua Liu,et al.  Internally nested circular tube system subjected to lateral impact loading , 2015 .

[6]  T Wierzbicki,et al.  Crushing analysis of rotationally symmetric plastic shells , 1982 .

[7]  Michael D. Gilchrist,et al.  Quasi-static, impact and energy absorption of internally nested tubes subjected to lateral loading , 2016 .

[8]  Venkatesh,et al.  Experimental and numerical studies of dynamic axial compression of thin walled spherical shells , 2004 .

[9]  R. Velmurugan,et al.  Experimental and theoretical studies on buckling of thin spherical shells under axial loads , 2008 .

[10]  Tongxi Yu,et al.  Crushing of thin-walled spheres and sphere arrays , 2006 .

[11]  Tongxi Yu,et al.  Dynamic crushing of thin-walled spheres : An experimental study , 2008 .

[12]  Tongxi Yu,et al.  Experimental study on static/dynamic local buckling of ping pong balls compressed onto a rigid plate , 2010, International Conference on Experimental Mechanics.

[13]  Michael D. Gilchrist,et al.  Optimised design of nested oblong tube energy absorbers under lateral impact loading , 2008 .

[14]  W Johnson,et al.  CRASHWORTHINESS OF VEHICLES , 1978 .

[15]  A Jennings,et al.  Spherical shells in inelastic collision with a rigid wall—tentative analysis and recent quasi-static testing , 1994 .

[16]  S. Reid,et al.  METALLIC ENERGY DISSIPATING SYSTEMS. , 1978 .

[17]  W. J. Stronge,et al.  Bounce of hollow balls on flat surfaces , 2001 .

[18]  C. R. Calladine,et al.  Analysis of Large Plastic Deformations in Shell Structures , 1986 .

[19]  Abdul-Ghani Olabi,et al.  Analysis of nested tube type energy absorbers with different indenters and exterior constraints , 2006 .

[20]  Abdul-Ghani Olabi,et al.  Lateral crushing of circular and non-circular tube systems under quasi-static conditions , 2007 .

[21]  Tongxi Yu,et al.  Static and dynamic snap-through behaviour of an elastic spherical shell , 2012 .

[22]  D. P. Updike On the Large Deformation of a Rigid-Plastic Spherical Shell Compressed by a Rigid Plate , 1972 .

[23]  W. Johnson,et al.  A theoretical and experimental study of hemispherical shells subjected to axial loads between flat plates , 1975 .