Periodic Motion of Vehicles on Flexible Guideways

[+] Author and Article Information
A. L. Doran

Hughes Aircraft Company, Canoga Park, Calif.; Mechanics and Structures Department, UCLA, Los Angeles, Calif.

D. L. Mingori

Mechanics and Structures Department, UCLA, Los Angeles, Calif.

J. Dyn. Sys., Meas., Control 99(4), 268-276 (Dec 01, 1977) (9 pages) doi:10.1115/1.3427119 History: Received September 26, 1977; Online July 13, 2010


Periodic motions of vehicles on flexible guideways are explored as candidate “test” motions for optimization studies where it is necessary to compare large numbers of designs under equivalent conditions. Exact and approximate methods are developed for identifying initial conditions that lead to periodic motions of single vehicles or many equally spaced vehicles. Using exact equations, fundamental questions regarding the nature of these motions are addressed (existence, uniqueness, stability, etc.). Approximate equations are developed to reduce the computational burden of examining large numbers of designs. It is shown that the assumptions inherent in the approximate equations are valid provided that vertical accelerations of the vehicles are sufficiently small. This restriction is not considered serious because small vertical accelerations are required to satisfy ride comfort criteria. Two standard test motions are proposed for design evaluation, one for the single vehicle case and one for the multi-vehicle case. Numerical results showing peak vehicle acceleration and guideway response are presented for the single vehicle case.

Copyright © 1977 by ASME
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