Equations of motion of a hinged ramp supporting a sliding mass, which moves at constant velocity, are derived; these are shown to have no closed solution when the ramp is spring supported or when the cylinder force is proportional to the square of the velocity. For small velocities of the sliding mass the Coriolis term may be neglected and a good approximation to the solution of the equations is obtained by means of the Madelung transformation. The solutions by special methods are compared to the solutions obtained by standard numerical methods.
The Motion and Loading of a Hinged Ramp Which Supports a Sliding Mass
Lockheed Aircraft Corp., Burbank, Calif.
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Saelman, B. (March 1, 1960). "The Motion and Loading of a Hinged Ramp Which Supports a Sliding Mass." ASME. J. Appl. Mech. March 1960; 27(1): 177–181. https://doi.org/10.1115/1.3643896
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