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Tytuł artykułu

‘‘Slip and Fall’’ Theory - Extreme Order Statistics

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Języki publikacji
EN
Abstrakty
EN
Classical ‘‘slip and fall’’ analysis was reformulated in this paper to account for the stochastic nature of friction. As it turned out, the new theory, arising from this analysis, was a precise statement of the distribution function for the smallest value among n independent observations. This made it possible to invoke an important result from the asymptotic theory of extreme order statistics that reduced the theory to a simple and elegant relationship among the probability of slipping, the critical friction criterion, the distance traveled by the walker, and the average, spread and asymmetry of the distribution of friction coefficients. The new theory reveals that short walks lead to fewer falls; low friction floors are sometimes better than high friction ones.
Rocznik
Strony
135--158
Opis fizyczny
Bibliogr. 34 poz., rys., tab., wykr.
Twórcy
  • Mechanical and Aerospace Engineering, Illinois Institute of Technology, Chicago, USA
  • Triodyne Inc., Niles, IL, USA
Bibliografia
  • 1.Adler, S.C., & Pierman, B.C. (1979). History of walkway slip-resistance research at the National Bureau of Standards (Report No. NBS SP 505). Washington, DC, USA: National Bureau of Standards.
  • 2.American Society for Testing and Materials (ASTM). (1983a). Standard test method for rubber property - Abrasion resistance (NBS Abrader) (Standard No. ASTM D1630-83). Philadelphia, PA, USA: Author.
  • 3.American Society for Testing and Materials (ASTM). (1983b). Proposed test method for static coefficient of friction of polish-coated floor surfaces as measured by the NBS-Brungraber Articulated Arm Tester (ASTM Proposed Standard No. P126). Philadelphia, PA, USA: Author.
  • 4.American Society for Testing and Materials (ASTM). (1983c). Proposed test method for dynamic coefficient of friction of polish-coated floor surfaces as measured by the NBS-Sigler Pendulum Impact Tester (ASTM Proposed Standard No. P127). Philadelphia, PA, USA: Author.
  • 5.American Society for Testing and Materials (ASTM). (1983d). Proposed test method for static and dynamic coefficient of friction of polish-coated floor surfaces as measured by the Topaka Slip Tester (ASTM Proposed Standard No. P128). Philadelphia, PA, USA: Author.
  • 6.American Society for Testing and Materials (ASTM). (1988a). Standard test method for static coefficient of friction of polish-coated floor surface as measured by the James Machine (Standard No. ASTM D2047-82 [Reapproved 1988]). Philadelphia, PA, USA: Author.
  • 7.American Society for Testing and Materials (ASTM). (1988b). Standard test method for static coefficient of friction of shoe sole and heel materials as measured by the James Machine (Standard No. ASTM F489-77 [Reapproved 1988]). Philadelphia, PA, USA: Author.
  • 8.American Society for Testing and Materials (ASTM). (1989a). Standard test method for determining the static coefficient of friction of ceramic tile and other like surfaces by the horizontal hynamometer pull-meter method (Standard No. ASTM C1028-89). Philadelphia, PA, USA: Author.
  • 9.American Society for Testing and Materials (ASTM). (1989b). Standard test tethod for static slip resistance for footwear, sole, heel, or related materials by horizontal pull slipmeter (HPS) (Standard No. ASTM F609-79 [Reapproved 1989]). Philadelphia, PA, USA: Author.
  • 10.Andres, R.O., & Chaffin, D.B. (1985). Ergonomic analysis of slip-resistance measurement devices. Ergonomics, 28, 1065-1079.
  • 11.Balance, P.E., Morgan, J., & Senior, D. (1985). Operational experience with a portable friction testing device in university buildings. Ergonomics, 28, 1043-1054.
  • 12.Brungraber, R.J. (1976). An overview of floor slip-resistance research with annotated bibliography (NBS Technical Note 895). Washington, DC, USA: National Bureau of Standards.
  • 13.Brungraber, R.J. (1977). A new portable tester for the evaluation of the slip-resistance of walkway surfaces (NBC Technical Note 953). Washington, DC, USA: National Bureau of Standards.
  • 14.Bucknell University F-13 workshop to evaluate various slip resistance measuring devices. (1992). ASTM Standardization News, 20(5), 21-24.
  • 15.Department of Justice. (2000). Ground and floor surfaces, general. Standards for accessible design. Americans with Disabilities Act (Standard No. 28 CFR Appendix A to Part 36, A4.5.1). Washington, DC, USA: Author.
  • 16.Dowson, D. (1979). History of tribology. Oxford, UK: Oxford University Press.
  • 17.Fisher, R.A., & Tippett, L.H.C. (1928). Limiting forms of the frequency distribution of the largest or smallest member of a sample. Proceedings of Cambridge Philosophical Society, 24, 180-190.
  • 18.Galambos, J. (1978). The asymptotic theory of extreme order statistics. New York, NY, USA: Wiley.
  • 19.Gregory, L.D., & Spruill, C.E. (1962). Structural reliability of re-entry vehicles using brittle materials in the primary structure. In Proceedings of the IAS Aerospace Systems Reliability Symposium. (pp. 33-55). New York, NY, USA: Institute of the Aerospace Sciences.
  • 20.Grönqvist, R., Roine, J., Jarvinen, E., & Korhonen, E. (1989). An apparatus and a method for determining the slip resistance of shoes and floors by simulation of human foot motions. Ergonomics, 32, 979-995.
  • 21.Gumbel, E.J., (1954). Statistical theory of extreme values and some practical applications (National Bureau of Standards Applied Mathematics Series 33). Washington, DC, USA: U.S. Government Printing Office.
  • 22.Gumbel, E.J., (1958). Statistics of extremes. New York, NY, USA: Columbia University Press.
  • 23.Harper, F.C., Warlow, W.J., & Clarke, B.L. (1961). The forces applied to the floor by the foot in walking: I. Walking on a level surface (National Building Studies: Research Paper 32). London, UK: Department of Scientific and Industrial Research, Building Research Station.
  • 24.Irvine, C.H. (1976). Evaluation of some factors affecting measurements of slip resistance of shoe sole materials on floor surfaces. Journal of Testing and Evaluation, 4(2), 133-138.
  • 25.Jung, K., & Schenk, H. (1990). An international comparison of test methods for determining the slip resistance of shoes. Journal of Occupational Accidents, 13(4), 271-290.
  • 26.Kececioglu, D., & Cormier, D. (1964). Designing a specified reliability directly into a component. In Proceedings of the Third Annual Aerospace Reliability and Maintainability Conference, June 29 - July 1, 1964 (pp. 546-565). New York, NY, USA: Society of Automotive Engineers.
  • 27.Majcherczyk, R. (1977). Different approach to measuring pedestrian friction: The CEBTP skidmeter. In C. Anderson & J. Senne (Eds.), Walkway surfaces: Measurements of slip resistance (Publication No. ASTM STP 649, pp. 88-99). Philadelphia, PA, USA: American Society for Testing and Materials (ASTM).
  • 28.Murray, M.P. (1967). Gait as a total pattern of movement. American Journal of Physical Medicine, 46(1), 290-333.
  • 29.Occupational Safety and Health Administration (OSHA). (2000). General requirements, walking-working surfaces (Standard No. 29 CFR 1910.22). Washington, DC, USA: Author.
  • 30.Perkins, P.J. (1978). Measurement of slip between the shoe and ground during walking. In C. Anderson & J. Senne (Eds.), Walkway surfaces: Measurement of slip resistance, (Publication No. ASTM STP 649, pp. 71-87). Philadelphia, PA, USA: American Society for Testing and Materials (ASTM).
  • 31.Pfauth, M.J., & Miller, J.M. (1976). Work surface coefficients: A survey of relevant factors and measurement methodology. Journal of Safety Research, 8(2), 77-90.
  • 32.Redfern, M.S., & Bidanda, B. (1994). Slip resistance of the shoe-floor interface under biomechanically-relevant conditions. Ergonomics, 37, 511-524.
  • 33.Reed, M.E., & Mahon, R.D. (1977). Description of the National Institute for Occupational Safety and Health (NIOSH) universal friction testing machine (UFTM). In C. Anderson & J. Senne (Eds.), Walkway surfaces: Measurement of slip resistance, (Publication No. ASTM STP 649, pp. 60-70). Philadelphia, PA, USA: American Society for Testing and Materials (ASTM).
  • 34.Standards Australia and Standards New Zealand. (1993). Slip resistance of pedestrian surfaces, part 1: Requirements (Standard No. AS/NZS 3661.1:1993). Homebush, NSW, Australia and Wellington, New Zealand: Authors.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0fa5ef3d-4064-4c3c-a9aa-513b404a02f4
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