PACS 43.20.Fn -Scattering of acoustic waves PACS 24.30.Cz -Giant resonances PACS 43.40.At -Experimental and theoretical studies of vibrating systems Abstract -The doorway-state phenomenon has been observed in many quantum and classical undulatory systems when two oscillating systems are coupled, one that has a high level density and the other one a very low density. Up to now the systems analysed have in common that they are governed by second-order differential equations. In the present work it is shown that the doorway state mechanism also appears when dealing with flexural vibrations of elastic systems, which are governed by fourth-order differential equations. It should be mentioned that this phenomenon also emerges from the two coupled second-order differential Navier equations.