Equations of motion for train derailment dynamics
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2007-09-11
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Alternative Title:Proceedings of the 2007 ASME Rail Transportation Division Fall Technical Conference
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NTL Classification:NTL-RAIL TRANSPORTATION-Rail Safety;NTL-SAFETY AND SECURITY-Rail Safety;NTL-SAFETY AND SECURITY-Transit Safety and Security;
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Abstract:This paper describes a planar or two-dimensional model to
examine the gross motions of rail cars in a generalized train
derailment. Three coupled, second-order differential equations
are derived from Newton's Laws to calculate rigid-body car
motions with time. Car motions are defined with respect to a
right-handed and fixed (i.e., non-rotating) reference frame. The
rail cars are translating and rotating but not deforming.
Moreover, the differential equations are considered as stiff,
requiring relatively small time steps in the numerical solution,
which is carried out using a FORTRAN computer code.
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