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.

  • Corporate Authors:

    International Society for Terrain-Vehicle Systems

    Box 4824, Duke Station
    Durham, NC  United States  27706

    Planning Transport Associates, Incorporated

    P.O. Box 4824, Duke Station
    Durham, NC  United States  27706
  • Authors:
    • Benedetti, G A
  • Publication Date: 1975-3

Media Info

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Filing Info

  • Accession Number: 00083907
  • Record Type: Publication
  • Source Agency: Engineering Index
  • Files: TRIS
  • Created Date: May 1 1975 12:00AM