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Design of Two Particular Positions for a Foldable Stair

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Design of Special Planar Linkages

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

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Abstract

This chapter proposes a foldable stair that is easily deployed for use and folded for storage. It consists of a number of identical deployable scissorlike elements which form the staircases when expanded. In addition to use, the folded stair can be used for hanging clothes and acting as a decoration. The mechanism of the stair is firstly synthesized in line with the common stairs between two horizontal levels. The actuating mechanism is then synthesized in accordance with two extreme positions of the stair, folded and unfolded. Because the stair can be folded after use, it is convenient in use and will witness a wide application both indoors and outdoors where there is no enough space for a fixed stair. In addition, this deployable stair is also particularly useful in evacuating people from a building when disasters such as earthquakes occur.

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References

  1. Kaveht A, Davaranl A (1996) Analysis of pantograph foldable structures. Comput Struct 59(1):131–140

    Article  Google Scholar 

  2. Escrig F, Valcarcel P (1996) Geometry of expandable space structures. Int J Space Struct 11(1):257–274

    Google Scholar 

  3. Chen Y, You Z, Tarnai T (2005) Threefold-symmetric bricard linkages for deployable structures. Int J Solids Struct 42(8):2287–2301

    Article  Google Scholar 

  4. Chen W-J, Luo L-Y et al (2001) A study on space masts basedon octahedral truss family. Int J Space Struct 16(1):75–81

    Article  Google Scholar 

  5. You Z, Pellegrino S (1997) Foldable bar structures. Int J Solids Struct 34(15):1825–1847

    Article  MATH  Google Scholar 

  6. Dai JS, Jones JR (1999) Mobility in metamorphic mechanisms of foldable/erectable kinds. Trans ASME J Mech Des 121(3):375–382

    Article  Google Scholar 

  7. Gantes C, Giakoumakis A, Vousvounis P (1997) Symbolic manipulation as a tool for design of deployable domes. Comput Struct 64(1–4):865–878

    Article  MATH  Google Scholar 

  8. Chen Y, You Z (2009) Two-fold symmetrical 6R foldable frame and its bifurcations. Int J Solids Struct 46(25–26):4504–4514

    Article  MATH  Google Scholar 

  9. Nagaraj BP, Pandiyan R, Ghosal A (2009) Kinematics of pantograph masts. Mech Mach Theory 44(4):822–834

    Article  MATH  Google Scholar 

  10. Langbecker T (1999) Kinematic analysis of deployable scissor structures. Int J Space Struct 14(1):1–15

    Article  Google Scholar 

  11. Wei G, Ding X, Dai JS (2010) Mobility and geometric analysis of the hoberman switch-pitch ball and its variant. Trans ASME J Mech Robot 2:031010

    Article  Google Scholar 

  12. Nagaraj BP, Pandiyan R, Ghosal A (2010) A constraint jacobian based approach for static analysis of pantograph masts. Comput Struct 88(1–2):95–104

    Article  Google Scholar 

  13. Hanaor A, Levy R (2001) Evaluation of deployable structures for space enclosures. Int J Space Struct 16(4):211–229

    Article  Google Scholar 

  14. Mirats Tur JM, Juan SH (2008) Tensegrity frameworks: static analysis review. Mech Mach Theory 43(7):859–881

    Article  MATH  Google Scholar 

  15. Mirats Tur JM, Juan SH (2009) Tensegrity frameworks: dynamic analysis review and open problems. Mech Mach Theory 44(1):1–18

    Article  MATH  Google Scholar 

  16. Gan WW, Pellegrino S (2006) Numerical approach to the kinematic analysis of deployable structures forming a closed loop. Proc Inst Mech Eng Part C J Mech Eng Sci 220(7):1045–1056

    Article  Google Scholar 

  17. Xu LJ, Tian GY, Duan Y, Yang SX (2001) Inverse kinematic analysis for triple-octahedron variable-geometry truss manipulators. Proc Inst Mech Eng Part C J Mech Eng Sci 215(2):247–251

    Article  Google Scholar 

  18. Chen Y, You Z (2007) Spatial 6R linkages based on the combination of two goldberg 5R linkages. Mech Mach Theory 42(11):1484–1489

    Article  MATH  Google Scholar 

  19. Wohlhart K (1991) Merging two general goldberg 5R linkages to obtain a new 6R space mechanism. Mech Mach Theory 26(7):659–668

    Article  Google Scholar 

  20. Liu SY, Chen Y (2009) Myard linkage and its mobile assemblies. Mech Mach Theory 44(10):1950–1963

    Article  MATH  Google Scholar 

  21. Shigley JE, Uicher JJ (1980) Theory of machines and mechanisms. McGraw-Hill Companies, Inc., New York

    Google Scholar 

  22. Rosenfeld Y, Logcher RD (1988) New concepts for deployable collapsable structures. Int J Space Struct 3(1):20–32

    Google Scholar 

  23. Escrig F, Valcarcel JP, Sanchez J (1996) Deployable cover on a swimming pool in seville. J Int Assoc Shell Spat Struct 37(1):39–70

    Google Scholar 

  24. Zhao J-S, Wang J-Y, Chu F, Feng Z-J, Dai JS (2011) Structure synthesis and statics analysis of a foldable stair. Mech Mach Theory 46(7):998–1015

    Article  MATH  Google Scholar 

  25. Dai JS, Li D, Zhang QX, Jin GG (2004) Mobility analysis of a complex structured ball based on mechanism decomposition and equivalent screw system analysis. Mech Mach Theory 39(4):445–458

    Article  MATH  Google Scholar 

  26. Zhao J-S, Zhou K, Feng Z-J (2004) A theory of degrees of freedom for mechanisms. Mech Mach Theory 39(6):621–643

    Article  MathSciNet  Google Scholar 

  27. Zhao J-S, Feng Z-J, Wang L-P, Dong J-X (2006) The free mobility of a parallel manipulator. Robotica 24(5):635–641

    Article  Google Scholar 

  28. Zhao J-S, Feng Z-J, Dong J-X (2006) Computation of the configuration degree of freedom of a spatial parallel mechanism by using reciprocal screw theory. Mech Mach Theory 41(12):1486–1504

    Article  MathSciNet  MATH  Google Scholar 

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Zhao, J., Feng, Z., Ma, N., Chu, F. (2014). Design of Two Particular Positions for a Foldable Stair. In: Design of Special Planar Linkages. Springer Tracts in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38448-6_3

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  • DOI: https://doi.org/10.1007/978-3-642-38448-6_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38447-9

  • Online ISBN: 978-3-642-38448-6

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