Systematic experimental and numerical study of bistable snap processes for anti-symmetric cylindrical shells

Abstract Anti-symmetric cylindrical shell as a novel bistable composite structure, offers wide applications in many fields. The entire snap-through and snap-back processes of the anti-symmetric cylindrical shell are systematically studied through experimental investigation and numerical simulation. The experimental and numerical results are also compared with the analytical predictions. The parameters used to characterize the bistable performances of the shells, including coiled-up radii, stress distributions of the shell in the second stable state, and snap load are measured. Load–displacement curves and buckling phenomena in the snapping process are successfully captured. The influences of the geometrical sizes and layup conditions on the bistable performance of anti-symmetric cylindrical shells are discussed in detail. Comprehensive experimental and numerical results indicate that the initial mid-plane transverse radius and ply angle are two key factors that affect bistable behaviors in the same environmental conditions, which is accordant with theoretical predictions, whereas the number of plies and longitudinal length of the shell only influence on the snap load and stress distribution. The angle of embrace is demonstrated of no influence on bistable performance of anti-symmetric cylindrical shells.

[1]  Zhengneng Li,et al.  Cured Shape of Cross-Ply Composite Thin Shells , 2003 .

[2]  Werner Hufenbach,et al.  Design of novel morphing structures based on bistable composites with piezoceramic actuators , 2006 .

[3]  Daniel J. Inman,et al.  Snap-through of unsymmetric laminates using piezocomposite actuators , 2006 .

[4]  Christopher R. Bowen,et al.  Morphing and Shape Control using Unsymmetrical Composites , 2007 .

[5]  Werner Hufenbach,et al.  Piezoelectrically driven morphing structures based on bistable unsymmetric laminates , 2011 .

[6]  Michael W. Hyer,et al.  Snap-through of unsymmetric fiber-reinforced composite laminates , 2002 .

[7]  Christopher R. Bowen,et al.  Sensitivity of bistable laminates to uncertainties in material properties, geometry and environmental conditions , 2013 .

[8]  Linzhi Wu,et al.  Stretch-bend-hybrid hierarchical composite pyramidal lattice cores , 2013 .

[9]  Alexander D. Shaw,et al.  Force Displacement Curves of a Snapping Bistable Plate , 2012 .

[10]  Simon D. Guest,et al.  Bistable composite slit tubes II: a shell model , 2004 .

[11]  S. Ziaei-Rad,et al.  Thermal Response and Stability Characteristics of Bistable Composite Laminates by Considering Temperature Dependent Material Properties and Resin Layers , 2013, Applied Composite Materials.

[12]  Paul M. Weaver,et al.  Bistable Prestressed Symmetric Laminates , 2010 .

[13]  Guozhong Chai,et al.  The bistable behaviors of carbon-fiber/epoxy anti-symmetric composite shells , 2013 .

[14]  Simon D. Guest,et al.  Bistable composite slit tubes. I. A beam model , 2004 .

[15]  Paul M. Weaver,et al.  Bistable plates for morphing structures: A refined analytical approach with high-order polynomials , 2010 .

[16]  H. A. Kim,et al.  Modelling of piezoelectrically actuated bistable composites , 2011 .

[17]  David J. Wagg,et al.  On the cross-well dynamics of a bi-stable composite plate , 2011 .

[18]  Paul M. Weaver,et al.  Environmental effects on thermally induced multistability in unsymmetric composite laminates , 2009 .

[19]  Li Ma,et al.  Mechanical behavior of the sandwich structures with carbon fiber-reinforced pyramidal lattice truss core , 2010 .

[20]  P. Weaver,et al.  Morphing high-temperature composite plates utilizing thermal gradients , 2013 .

[21]  Christopher R. Bowen,et al.  Characterisation of actuation properties of piezoelectric bi-stable carbon-fibre laminates , 2008 .

[22]  Michael W. Hyer,et al.  SMA-induced snap-through of unsymmetric fiber-reinforced composite laminates , 2003 .

[23]  Keith A. Seffen,et al.  Multistable corrugated shells , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[24]  Marc R. Schultz,et al.  A Concept for Airfoil-like Active Bistable Twisting Structures , 2008 .

[25]  Paul M. Weaver,et al.  Phenomena in the bifurcation of unsymmetric composite plates , 2007 .

[26]  Li Ma,et al.  Fabrication and crushing behavior of low density carbon fiber composite pyramidal truss structures , 2010 .

[27]  P. Weaver,et al.  On the thermally induced bistability of composite cylindrical shells for morphing structures , 2012 .

[28]  Paul M. Weaver,et al.  Optimization of Blended Bistable Laminate for Morphing Flap , 2010 .

[29]  S. Pellegrino,et al.  Bi-stable Composite Slit Tubes , 2000 .

[30]  Sergio Pellegrino,et al.  BI-STABLE COMPOSITE SHELLS , 2000 .

[31]  Christopher R. Bowen,et al.  A Study of Bistable Laminates of Generic Lay‐Up for Adaptive Structures , 2012 .

[32]  Paul M. Weaver,et al.  Optimisation of blended bistable laminates for a morphing flap , 2012 .

[33]  Sergio Pellegrino,et al.  Analytical models for bistable cylindrical shells , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[34]  Lin-zhi Wu,et al.  Low-velocity impact characteristics and residual tensile strength of carbon fiber composite lattice core sandwich structures , 2011 .

[35]  M. Izadi,et al.  Analysis of interlaminar stresses in general cross-ply laminates with distributed piezoelectric actuators , 2010 .

[36]  E. H. Mansfield The Bending and Stretching of Plates , 1963 .

[37]  X. Yao,et al.  Dynamic Experimental Study of Deployable Composite Structure , 2011 .

[38]  S. Tawfik,et al.  Unsymmetric composite laminates morphing via piezoelectric actuators , 2007 .

[39]  Omer Soykasap,et al.  Deployment analysis of a self-deployable composite boom , 2009 .

[40]  Paul M. Weaver,et al.  Analysis of thermally induced multistable composites , 2008 .

[41]  Michael W. Hyer,et al.  Snap-Through of Unsymmetric Cross-Ply Laminates Using Piezoceramic Actuators , 2003 .

[42]  Michael I. Friswell,et al.  Morphing wing flexible skins with curvilinear fiber composites , 2013 .

[43]  Michael Sinapius,et al.  Boom Concept for Gossamer Deployable Space Structures , 2013 .

[44]  Jean-Claude Grandidier,et al.  Predicting loss of bifurcation behaviour of 0/90 unsymmetric composite plates subjected to environmental loads , 2012 .

[45]  Hao Li,et al.  A multi-stable lattice structure and its snap-through behavior among multiple states , 2013 .