Loading and structural stiffness of tandem bicycle frames

Digby Symons1
1Department of Mechanical Engineering, University of Canterbury, Christchurch 8041, New Zealand

Tóm tắt

AbstractTandem bicycles are used for all para-cycling events for visually impaired athletes. Tandems are structurally more challenging to design than solo bicycles: they must resist higher loading over a longer wheelbase, yet must still fit between the legs of the riders. Despite this, there is limited published work on tandem design. This paper presents a method for determining maximal loading of a tandem bicycle frame in racing scenarios. The only inputs required are the dimensions of the frame and the torques exerted by the riders. Outputs are the forces acting on the frame. The method is used to provide loads for structural analyses of tandem frames of different topologies. Twisting of the frame under a starting effort is shown to be the worst load case. The “double diamond” is shown to be the most efficient tubular frame design, on a stiffness per weight basis, but is only 2% superior to an “open” topology.

Từ khóa


Tài liệu tham khảo

Union Cycliste Internationale (2004) UCI Cycling Regulations https://www.uci.org/. Accessed 1 Feb 2024

Wilson DG (2004) Bicycling science -, 3rd edn. The MIT Press, Cambridge, MA and London

Malizia F, Blocken B (2020) Bicycle aerodynamics: history, state-of-the-art and future perspectives. J Wind Eng Ind Aerodyn 200:104134. https://doi.org/10.1016/j.jweia.2020.104134

Oliver T (1990) Touring bikes: a practical guide. The Crowood Press

Ballantine R, Grant R (1992) Richards’ ultimate bicycle book. Dorling Kindersley, London

Sharp A (1896) Bicycles and tricycles: an elementary treatise on their design and construction. Longmans Green

Davis R, Hull ML (1981) Design of aluminum bicycle frames. J Mech Des 103(4):901–907

Soden PD, Millar MA, Adeyefa BA, Wong YS (1986) Loads, stresses, and deflections in bicycle frames. J Strain Anal Eng Des 21(4):185–195. https://doi.org/10.1243/03093247V214185

Maestrelli L, Falsini A. 2008 Bicycle frame optimization by means of an advanced gradient method algorithm. In: Proceedings of the 2nd European HTC, Strasbourg, France, September 31-October 1 2008

Covill D, Begg S, Elton E, Milne M, Morris M, Katz T (2014) Parametric finite element analysis of bicycle frame geometries. Proc Eng 72:441–446. https://doi.org/10.1016/j.proeng.2014.06.077

Covill D, Blayden A, Coren D, Begg S (2015) Parametric finite element analysis of steel bicycle frames: the influence of tube selection on frame stiffness. Proc Eng 112:34–39. https://doi.org/10.1016/j.proeng.2015.07.172

Covill D, Allard P, Drouet J-M, Emerson N (2016) An assessment of bicycle frame behaviour under various load conditions using numerical simulations. Proc Eng 147:665–670

Liu TJ-C, Wu H-C (2010) Fiber direction and stacking sequence design for bicycle frame made of carbon/epoxy composite laminate. Mater Des 31:1971–1980. https://doi.org/10.1016/j.matdes.2009.10.036

International Organization for Standardization (2023) ISO 4210–6:2023 Cycles - Safety requirements for bicycles - Part 6: Frame and fork test methods

Bolourchi F, Hull ML (1985) Measurement of rider induced loads during simulated bicycling. Int J Sport Biomech 1(4):308–329

Stone C, Hull ML (1993) Rider/bicycle interaction loads during standing treadmill cycling. J Appl Biomech. https://doi.org/10.1123/jab.9.3.202

Drouet J-M, Champoux Y (2012) Development of a three-load component instrumented stem for road cycling. Proc Eng 34:502–507

Vanwalleghem J, De Baere I, Loccufier M, Van Paepegem W (2015) Dynamic calibration of a strain gauge based handlebar force sensor for cycling purposes. Proc Eng 112:219–224

Turpin NA, Watier B (2020) Cycling biomechanics and its relationship to performance. Appl Sci 10(12):4112. https://doi.org/10.3390/app10124112

Soden PD, Adeyefa BA (1979) Forces applied to a bicycle during normal cycling. J Biomech 12:527–541. https://doi.org/10.1016/0021-9290(79)90041-1

https://scholar.google.com/. Accessed 1 Feb 2024

Clauser CE, McConville JT, Young JW (1969) Weight, volume, and center of mass of segments of the human body. AMRL TR 69–70, wright-patterson air force base, ohio (NTIS No. AD-710 622)

Caddy O, Fitton W, Symons D, Purnell A, Gordon D (2015) The effects of forward rotation of posture on computer-simulated 4 km track cycling: implications of UCI rule 1.3.013. Proc Inst Mech Eng Part P J Sports Eng Tech. https://doi.org/10.1177/1754337115619306

Fitton W, Symons D (2018) A mathematical model for simulating cycling: applied to track cycling. Sports Eng 21(4):409–418. https://doi.org/10.1007/s12283-018-0283-0