Force-deflection modeling for generalized origami waterbomb-base mechanisms

Journal of Applied Mechanics, Transactions ASME

Volumn 82, Issue 8, 2015, Pages

  Hanna, Brandon H ^a   Magleby, Spencer P ^a   Lang, Robert J ^b   Howell, Larry L ^a  

^a Brigham Young University   (United States)

^b Lang Origami ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

KINEMATICS; POTENTIAL ENERGY;

AND SPLITS; BISTABLE MECHANISMS; DESIGN AND ANALYSIS; FORCE DEFLECTION; RELATIVE EFFECTS; SINGLE VERTEX; SYMMETRIC CASE; TUNABILITIES;

LANDFORMS;

EID: 84931292243     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4030659     Document Type: Article

References (46)

1. Hanna, B. H., Lund, J. M., Lang, R. J., Magleby, S. P., and Howell, L. L., 2014, "Waterbomb Base: A Symmetric Single-Vertex Bistable Origami Mechanism," Smart Mater. Struct., 23(9), p. 094009.
2. Lang, R. J., 2011, Origami Design Secrets: Mathematical Methods for an Ancient Art, A K Peters/CRC Press, Boca Raton, FL.
3. Giegher, M., 1639, Le Trie Trattati, Paolo Frambotto, Verona, Italy.
4. Randlett, S., 1963, The Art of Origami, Faber and Faber, London.
5. Tachi, T., 2013, "Designing Freeform Origami Tessellations by Generalizing Resch's Patterns," ASME J. Mech. Des., 135(11), p. 111006.
6. Miura, K., 1985, "Method of Packaging and Deployment of Large Membranes in Space," Inst. Space Astronaut. Sci., 618, pp. 1-9.
7. Silverberg, J. L., Evans, A. A., McLeod, L., Hayward, R. C., Hull, T., Santangelo, C. D., and Cohen, I., 2014, "Using Origami Design Principles to Fold Reprogrammable Mechanical Metamaterials," Science, 345(6197), pp. 647-650.
8. Schenk, M., and Guest, S. D., 2012, "Geometry of Miura-Folded Metamaterials," Proc. Natl. Acad. Sci. U. S. A., 110(9), pp. 3276-3281.
9. Mahadevan, L., and Rica, S., 2005, "Self-Organized Origami," Science, 307(5716), pp. 1740.
10. Zirbel, S. A., Lang, R. J., Magleby, S. P., Thomson, M. W., Sigel, D. A., Walkemeyer, P. E., Trease, B. P., and Howell, L. L., 2013, "Accommodating Thickness in Origami-Based Deployable Arrays," ASME J. Mech. Des., 135(11), p. 111005.
11. Ma, J., and You, Z., 2013, "Energy Absorption of Thin-Walled Square Tubes With a Prefolded Origami Pattern - Part I: Geometry and Numerical Simulation," ASME J. Appl. Mech., 81(1), p. 011003.
12. Edmondson, B., Bowen, L., Grames, C., Magleby, S., Howell, L., and Bateman, T., 2013, "Oriceps: Origami-Inspired Forceps," ASME Paper No. SMASIS2013-3299.
13. Martinez, R. V., Fish, C. R., Chen, X., and Whitesides, G. M., 2012, "Elastomeric Origami: Programmable Paper-Elastomer Composites as Pneumatic Actuators," Adv. Funct. Mater., 22(7), pp. 1376-1384.
14. Francis, K., Rupert, L., Lang, R., Morgan, D., Magleby, S., and Howell, L., 2014, "From Crease Pattern to Product: Considerations to Engineering Origami-Adapted Designs," ASME Paper No. DETC2014-34031.
15. Guest, S. D., and Pellegrino, S., 1994, "The Folding of Triangulated Cylinders, Part I: Geometric Considerations," ASME J. Appl. Mech., 61(4), pp. 773-777.
16. Guest, S. D., and Pellegrino, S., 1994, "The Folding of Triangulated Cylinders, Part II: The Folding Process," ASME J. Appl. Mech., 61(4), pp. 778-783.
17. Guest, S. D., and Pellegrino, S., 1996, "The Folding of Triangulated Cylinders, Part III: Experiments," ASME J. Appl. Mech., 63(1), pp. 77-83.
18. Hawkes, E., An, B., Benbernou, N. M., Tanaka, H., Kim, S., Demaine, E. D., Rus, D., and Wood, R. J., 2010, "Programmable Matter by Folding," Proc. Natl. Acad. Sci. U.S.A., 107(28), pp. 12441-12445.
19. Felton, S., Tolley, M., Demaine, E., Rus, D., and Wood, R., 2014, "A Method for Self-Folding Machines," Science, 345(6197), pp. 644-646.
20. Tachi, T., 2010, "Geometric Considerations for the Design of Rigid Origami Structures," International Association for Shell and Spatial Structures (IASS) Symposium, Shanghai, Nov. 8-10.
21. Winder, B., Magleby, S., and Howell, L., 2009, "Kinematic Representations of Pop-Up Paper Mechanisms," ASME J. Mech. Rob., 1(2), p. 021009.
22. Tachi, T., 2006, "Simulation of Rigid Origami," Origami 4: Fourth International Meeting of Origami Science, Mathematics, and Education, Pasadena, CA, Sept. 8-10.
23. Dai, J. S., and Jones, J. R., 2002, "Kinematics and Mobility Analysis of Carton Folds in Packing Manipulation Based on the Mechanism Equivalent," Proc. Inst. Mech. Eng., Part C, 216(10), pp. 959-970.
24. Belcastro, S.-M., and Hull, T. C., 2002, "Modelling the Folding of Paper Into Three Dimensions Using Affine Transformations," Linear Algebra Appl., 348(1-3), pp. 273-282.
25. Bowen, L. A., Grames, C. L., Magleby, S. P., Howell, L. L., and Lang, R. J., 2013, "A Classification of Action Origami as Systems of Spherical Mechanisms," ASME J. Mech. Des., 135(11), p. 111008.
26. Chiang, C. H., 2009, Kinematics of Spherical Mechanisms, Krieger Publishing, Malabar, FL.
27. Jensen, B. D., and Howell, L. L., 2004, "Bistable Configurations of Compliant Mechanisms Modeled Using Four Links and Translational Joints," ASME J. Mech. Des., 126(4), pp. 657-666.
28. Ishii, H., and Ting, K.-L., 2004, "SMA Actuated Compliant Bistable Mechanisms," Mechatronics, 14(4), pp. 421-437.
29. Wilcox, D. L., and Howell, L. L., 2005, "Fully Compliant Tensural Bistable Micro-Mechanisms (FTBM)," J. Microelectromech. Syst., 14(6), pp. 1223-1235.
30. Beharic, J., Lucas, T. M., and Harnett, C. K., 2014, "Analysis of a Compressed Bistable Buckled Beam on a Flexible Support," ASME J. Appl. Mech., 81(8), p. 081001.
31. Greenberg, H. C., Gong, M. L., Magleby, S. P., and Howell, L. L., 2011, "Identifying Links Between Origami and Compliant Mechanisms," Mech. Sci., 2(2), pp. 217-225.
32. Howell, L. L., 2001, Compliant Mechanisms, Wiley, New York.
33. Mentrasti, L., Cannella, F., Pupilli, M., and Dai, J. S., 2013, "Large Bending Behavior of Creased Paperboard. I. Experimental Investigations," Int. J. Solids Struct., 50(20-21), pp. 3089-3096.
34. Nagasawa, S., Nasruddin Bin, M., and Shiga, Y., 2011, "Bending Moment Characteristics on Repeated Folding Motion of Coated Paperboard Scored By Round-Edge Knife," J. Adv. Mech. Des., Syst., Manuf., 5(2), pp. 385-394.
35. Dai, J. S., and Cannella, F., 2008, "Stiffness Characteristics of Carton Folds for Packaging," ASME J. Mech. Des., 130(2), p. 022305.
36. Nagasawa, S., Fukuzawa, Y., Yamaguchi, T., Tsukatani, S., and Katayama, I., 2003, "Effect of Crease Depth and Crease Deviation on Folding Deformation Characteristics of Coated Paperboard," J. Mater. Process. Technol., 140(1-3), pp. 157-162.
37. Francis, K. C., Blanch, J. E., Magleby, S. P., and Howell, L. L., 2013, "Origami-Like Creases in Sheet Materials for Compliant Mechanism Design," Mech. Sci., 4(2), pp. 371-380.
38. Pucheta, M. A., and Cardona, A., 2010, "Design of Bistable Compliant Mechanisms Using Precision-Position and Rigid-Body Replacement Methods," Mech. Mach. Theory, 45(2), pp. 304-326.
39. Tanner, J. D., and Jensen, B. D., 2013, "Power-Free Bistable Threshold Accelerometer Made From a Carbon Nanotube Framework," J. Mech. Sci., 4(2), pp. 397-405.
40. Silverberg, J., Na, J., Evans, A., B., L., Hull, T., Santangelo, C., Lang, R., Hayward, R., and Cohen, I., 2015, "Origami Structures With a Critical Transition to Bistability Arising From Hidden Degrees of Freedom," Nat. Mater., 14(4), pp. 389-393.
41. Delimont, I. L., Magleby, S. P., and Howell, L. L., 2015, "Evaluating Compliant Hinge Geometries for Origami-Inspired Mechanisms," ASME J. Mech. Rob., 7(1), p. 011009.
42. Guo, W., Li, M., and Zhou, J., 2013, "Modeling Programmable Deformation of Self-Folding All-Polymer Structures With Temperature-Sensitive Hydrogels," Smart Mater. Struct., 22(11), p. 115028.
43. Liu, Y., Boyles, J. K., Genzer, J., and Dickey, M. D., 2012, "Self-Folding of Polymer Sheets Using Local Light Absorption," R. Soc. Chem., Soft Matter, 8(6), pp. 1764-1769.
44. Ahmed, S., Lauff, C., Crivaro, A., McGough, K., Sheridan, R., Frecker, M., von Lockette, P., Ounaies, Z., Simpson, T., Lien, J.-M., and Strzelec, R., 2013, "Multi-Field Responsive Origami Structures: Preliminary Modeling and Experiments," ASME Paper No. DETC2013-12405.
45. Sterman, Y., Demaine, E. D., and Oxman, N., 2013, "PCB Origami: A Material-Based Design Approach to Computer-Aided Foldable Electronic Devices," ASME J. Mech. Des., 135(11), p. 114502.
46. Homer, E. R., Harris, M. B., Zirbel, S. A., Kolodziejska, J. A., Kozachkov, H., Trease, B. P., Borgonia, J.-P. C., Agnes, G. S., Howell, L. L., and Hofmann, D. C., 2014, "New Methods for Developing and Manufacturing Compliant Mechanisms Utilizing Bulk Metallic Glass," Adv. Eng. Mater., 16(7), pp. 850-856.