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1 International Journal of Applied Mechanics and Engineering

1 2003

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A note on the occurrence of integro-differential equations in engineering mechanics

Pala Y., Karadere G.

International Journal of Applied Mechanics and Engineering

2003

Vol. 8, no 3

503-506

The study of dynamics of packages of mass m delivered from a conveyor to a smooth circular ramp of radius r is important in transport technology and engineering dynamics. The present paper is devoted to reanalysing this problem since the inclusion of frictional forces results in an integro-differential equation that in general needs the utilisation of Neumann-series. The integro-differential equation thus obtained is transformed into a first order differential equation that can easily be solved analytically.