Application of SQP and dynamic mode tracking to the determination of the critical speed of rail vehicles. (16th April 2007)

• Record Type: Journal Article
• Authors: He, Yuping; McPhee, John
• Is Part Of: International journal of heavy vehicle systems. Volume 14:Number 2(2007)
• Page Start: 193
• Page End: 212
• Publication Date: 2007-04-16
• Subjects: sequential quadratic programming -- SQP -- dynamic mode tracking -- DMT -- critical speed identification -- rail vehicles -- linear stability analysis -- lateral stability -- heavy vehicles -- railways; Motor vehicles -- Design and construction -- Periodicals; Commercial vehicles -- Design and construction -- Periodicals; Motor vehicles -- Design and construction; Periodicals; 629.224
• Languages: English
• ISSNs: 1744-232X

Abstract

A method is presented for determining the critical speed of rail vehicles. Dynamic Mode Tracking (DMT) is used to identify the dynamic modes for a given speed and a Sequential Quadratic Programming (SQP) algorithm determines the critical speed at which the least-damped mode has zero damping. It is shown that the SQP algorithm without DMT often fails to find the critical speed. In comparison, the combined SQP-DMT algorithm provides a reliable identification of the critical speed. This integrated algorithm can be applied to rotor dynamics, wind turbine dynamics, aeronautics, and road vehicle dynamics for automatically identifying the critical speed corresponding to a linear stability analysis.