Rocking motions of a two-wheeled suitcase are considered. The suitcase is pulled on a horizontal ground and may rock back and forth, first with one wheel in contact with the ground, then the other, and so on. When a wheel impacts the ground, some energy is lost. It is assumed that the puller's walking motion induces a periodic force or moment on the handle of the suitcase. In addition, the puller may apply an additional restoring moment in an attempt to suppress the rocking motion. Under certain conditions, the motion may grow until the suitcase overturns. The effects of the excitation frequency and the coefficient of the restoring moment on the critical excitation amplitude are examined for the special case in which yaw and pitch motions are neglected and the suitcase is pulled in a straight line. Due to the nonlinearities of the problem, the results exhibit some irregular behavior.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
Ishiyama, Y.: Review and discussion on overturning of bodies by earthquake motions. Building Research Institute, Ministry of Construction, Japan, Research Paper No. 85 (1980).
Augusti, G., Sinopoli, A.: Modelling the dynamics of large block structures. Meccanica27, 195–211 (1992).
Plaut, R. H., Suherman, S.: Fractal boundary for overturning of rigid blocks under base excitation. In: Nonlinear dynamics: the Richard Rand 50th birthday volume (Guran, A., ed.) Singapore: World Scientific 1995.
Verma, M. K., Gillespie, T. D.: Roll dynamics of commercial vehicles. Vehicle Sys. Dyn.9, 1–17 (1980).
Nalecz, A. G.: Influence of vehicle and roadway factors on the dynamics of tripped rollover. Int. J. Vehicle Design10, 321–343 (1989).
Rakheja, S., Ranganathan, R., Sankar, S.: Field testing and validation of directional dynamics model of a tank truck. Int. J. Vehicle Design13, 251–275 (1992).
Mallikarjunarao, C., Segel, L.: A study of the directional and roll dynamics of multiple-articulated vehicles. In: The dynamics of vehicles on roads and on tracks (Wickens, A. H., ed.). Lisse: Swets & Zeitlinger 1982.
Meirovitch, L.: Methods of analytical dynamics. New York: McGraw-Hill 1970.
Rosenberg, R. M.: Analytical dynamics of discrete systems. New York: Plenum Press 1977.
Neimark, Ju. I., Fufaev, N. A.: Dynamics of nonholonomic systems. Providence, Rhode Island: American Mathematical Society 1972.
Smith, C. E., Liu, P.-P.: Coefficients of restitution. J. Appl. Mech.59, 963–969 (1992).
Perry, J.: Note on the rocking of a column. Trans. Seismological Soc. Japan.3, 103–106 (1881).
Murray, T. M.: Building floor vibrations. Eng. J. AISC28, 102–109 (1991).
Fujino, Y., Pacheco, B. M., Nakamura, S.-I., Warnitchai, P.: Synchronization of human walking observed during lateral vibration of a congested pedestrian bridge. Earthquake Eng. Struc. Dyn.22, 741–758 (1993).
Bhatt, S. J., Hsu, C. S.: Stability charts for second-order dynamical systems with time lag. J. Appl. Mech.33, 119–124 (1966).
Shenton, H. W. III, Jones, N. P.: Base excitation of rigid bodies, I: formulation. J. Eng. Mech.117, 2286–2306 (1991).
Yim, S. C. S., Lin, H.: Nonlinear impact and chaotic response of slender rocking objects. J. Eng. Mech.117, 2079–2100 (1991).
Rights and permissions
About this article
Cite this article
Plaut, R.H. Rocking instability of a pulled suitcase with two wheels. Acta Mechanica 117, 165–179 (1996). https://doi.org/10.1007/BF01181045
- Dynamical System
- Fluid Dynamics
- Transport Phenomenon
- Excitation Frequency
- Excitation Amplitude