DYNAMIC BEHAVIOUR OF STRAIGHT BEAM ON ELASTIC SUPPORTS SUBJECTED TO MOVING LOAD – GENERALIZATION OF R. WILLIS’ EQUATION
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- TITLE: DYNAMIC BEHAVIOUR OF STRAIGHT BEAM ON ELASTIC SUPPORTS SUBJECTED TO MOVING LOAD – GENERALIZATION OF R. WILLIS’ EQUATION
- ABSTRACT: This article discusses the dynamic response of Bernoulli-Euler straight beam on elastic supports subjected to moving load with variable velocity. An engineering approach for determination of the dynamic effect from the moving load on the stressed state of the beam has been developed. A dynamic coefficient, a ratio of the dynamic to the static deflection of the beam, has been defined. Generalization of the R. Willis’ equation has been carried out: generalized boundary conditions have been introduced; the force of inertia from normal acceleration, Coriolis force and reduced beam mass have been taken into account. The influence of the boundary conditions and kinematic characteristics of the moving load on the dynamic coefficient has been investigated.
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