A numerical model for dynamic responses of ribbed plates with a rigid
intermediate line support is presented. The model is based on the free
interface model synthesis method, with the constraint conditions enfo
rced at the intermediate support by means of Lagrange multipliers. The
model is verified by comparison with test results for double-span rib
bed floor systems. As a special case, the model is also applied to pre
dict natural frequencies of double-span plates without ribs. The poten
tial of the modelling procedure in dealing with non-rigid or multiple
intermediate line supports is discussed.