Papers Published

1. Wilson, J. F. and Wilson, D. M., RESPONSES OF CONTINUOUS, INERTIALESS BEAMS TO TRAVERSING MASS - A GENERALIZATION OF STOKES' PROBLEM., International Journal of Mechanical Sciences, vol. 26 no. 2 (1984), pp. 105 - 112 [0020-7403(84)90024-9] .
   (last updated on 2007/04/09)

   Abstract:
   A mass at high speed traversing a uniform, horizontal, continuous beam resting on discrete supports gives rise to critical beam deflection and bending moment responses greater than those for the mass traversing at crawl speed. It is shown herein that these responses are significantly reduced by the choice of optimal support spacing parameters, characterized by a set of N span length multipliers for an N-span beam. By definition, the optimal spacings are those for which the critical static span moments are all equal. With the Stokes assumption that the beam is inertialess, the problem of finding the responses is reduced to a pseudostatic one where the trajectory of the traversing mass is described by a set of N ordinary differential equations with variable coefficients.

   Keywords:
   STRUCTURAL ANALYSIS - Dynamic Response;