DYNAMIC STABILITY OF A BEAM LOADED BY A SEQUENCE OF MOVING, MULTI-AXLE, MASS VEHICLES
An approximate method is presented for determining the dynamic stability of the lateral response for a finite Bernoulli-Euler beam loaded by a continuous sequence of vehicles traveling at a constant speed. The beam, which can also be loaded by a constant axial force, is uniform and simply supported and rests on a massless, uniform elastic foundation. Damping for the beam and foundation is provided by a combined uniform viscous damping coefficient. The vehicles which are identical, equally spaced, and attached to the beam, each consist of a rigid body mass supported by two separate axles or wheel masses. Consequently, the vehicles can rotate (or pitch) and translate laterally. The Galerkin method is used to generate a set of approximate equations of motion which contain periodic coefficients. Hence, multiple regions of dynamic instability can occur. The coupled equations are simplified by using a one-term Galerkin approximation which, under certain conditions, reduces to a Mathieu equation. Thus, the critical vehicle speeds, which correspond to dynamic instability, are predicted in terms of the physical system parameters by simple algebraic expressions.
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Corporate Authors:
International Society for Terrain-Vehicle Systems
Box 4824, Duke Station
Durham, NC United States 27706Planning Transport Associates, Incorporated
P.O. Box 4824, Duke Station
Durham, NC United States 27706 -
Authors:
- Benedetti, G A
- Publication Date: 1975-3
Media Info
- Features: References;
- Pagination: p. 483-493
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Serial:
- High Speed Ground Transportation Journal
- Volume: 9
- Issue Number: 1
Subject/Index Terms
- TRT Terms: Beams; Bridges; Elevated guideways; Stresses
- Old TRIS Terms: Bridge stresses
- Subject Areas: Bridges and other structures; Railroads;
Filing Info
- Accession Number: 00083907
- Record Type: Publication
- Source Agency: Engineering Index
- Files: TRIS
- Created Date: May 1 1975 12:00AM