Abstract
The unsteady motion of a solid in suspension by two elastic wheels placed one after another along a random curvilinear trajectory in vertical plane of gravity field is examined. The basic kinematical relationships and differential equations of motion for solid are presented. The relationships for the object’s effect to the trajectory are written. A method for calculating the trajectory of a solid by considering the elasticity of wheels and suspension elasticity is presented.
Similar content being viewed by others
References
Kulakov, N.A., Vozdeistvie dinamicheskoi nagruzki na nazemnye transportnye sredstva. Izbrannye problemy prochnosti sovremennogo mashinostroeniya (Dynamical Loading Effect onto Onground Vehicles. Selected Strength Problems for Modern Machinery Manufacturing), Moscow: Fizmatlit, 2008).
Kogan, A.Kh., Kolebaniya puti pri vysokikh skorostyakh dvizheniya i udarnom vzaimodeistvii kolesa i rel’sa (Rails Oscillations under High Speed Motion and Shock Impact between Wheel and Rail), Moscow: Transinfo, 2011).
Tarasik, V.P., Teoriya dvizheniya avtomobilya (Motion Theory for a Car), St. Petersburg: BKhV-Peterburg, 2006).
Selifonov, V.V., Teoriya avtomobilya (Car Theory), Moscow: Grinlait, 2009).
Gorshkov, A.G., Morozov, V.I., Ponomarev, A.T., and Shklyarchuk, F.N., Aerogidrouprugost’ konstruktsii (Aerohydroelastisity for Structures), Moscow: Fizmatlit, 2000).
Eger, S.M., et al., Proektirovanie samoletov (Aircrafts Design), Moscow: Logos, 2005).
Gnezdilov, V.A., The way to design and manufacture metal structures for complicated mechanized amusements, Montazhn. Spets. Raboty Stroit., 2000, no. 6, pp. 20–24.
Russkikh, S.V., Two-wheeled solid motion along a flat curve, Izv. Vyssh. Uchebn. Zaved. Mashinostr., 2014, no. 2, pp. 52–58.
Amel’kin, N.I., Kinematika i dinamika tverdogo tela (Kinematics and Dynamics for Solid), Moscow: Mosk. Fiz.-Tekh. Inst., 2000).
Kolesnikov, K.S. and Dubinin, V.V., Kurs teoreticheskoi mekhaniki (Course of Theoretical Mechanics), Moscow: Mosk. Fiz.-Tekh. Inst., 2005).
Timofeev, G.A., Teoriya mashin i mekhanizmov (The Theory of Machines and Mechanisms), Moscow: Yurait, 2013).
Chmil’, V.P., Teoriya mashin i mekhanizmov (The Theory of Machines and Mechanisms), St. Petersburg: Lan’, 2012).
Yakovenko, G.N., Kratkii kurs analiticheskoi dinamiki (Brief Course of Analytical Dynamics), Moscow: Binom, 2004).
Fitzpatrick, R., Classical Mechanics, Lulu Enterprises, 2006).
Dreizler, R.M. and Lüdde, C.S., Theoretical Mechanics, Springer, 2010).
Byushgens, S.S., Differentsial’naya geometriya (Differential Geometry), Moscow: Komkniga, 2006).
Rashevskii, P.K., Kurs differentsial’noi geometrii (Course of Differential Geometry), Moscow: LKI, 2013).
Banchoff, T. and Lovett, S.T., Differential Geometry of Curves and Surfaces, Wellesley, MA: AK Peters, 2010).
Svetlitskii, V.A., Mekhanika sterzhnei. Chast’ 1. Statika (Mechanics for Bars. Part 1: Statics), Moscow: Fizmatlit, 2009).
Svetlitskii, V.A., Mekhanika sterzhnei. Chast’ 2. Dinamika (Mechanics for Bars. Part 1: Dynamics), Moscow: Fizmatlit, 2009).
Korobko, V.I., Stroitel’naya mekhanika sterzhnevykh sistem (Building Mechanics of Bar Systems), Moscow: ASV, 2007).
Rabinovich, B.A., Bezopasnost’ cheloveka pri uskoreniyakh. (Biomekhanicheskii analiz) (Human Safety under Acceleration. Biomechanical Analysis), Moscow: Kniga i Biznes, 2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.V. Russkikh, 2016, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2016, No. 2, pp. 51–59.
About this article
Cite this article
Russkikh, S.V. Motion of a two-wheeled solid along a flat curvilinear trajectory by considering tire and suspension elasticity. J. Mach. Manuf. Reliab. 45, 137–144 (2016). https://doi.org/10.3103/S105261881601009X
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S105261881601009X