Restricted accessResearch articleFirst published online 2002-9
Orthogonality conditions of the transverse vibration mode function for a stepped one-dimensional plate on a Winkler foundation and subjected to an in-plane force
The transverse vibration mode equation of a stepped one-dimensional plate on a Winkler foundation and subjected to an in-plane force is derived. The orthogonality conditions for transverse vibration of such a plate are obtained. The conclusions of this work can be used to solve the problem of forced vibration of various stepped one-dimensional plates, plates of constant thickness and beams.
TimoshenkoS.YoungD. H.WeaverW.JrVibration Problems in Engineering, 4th edition, 1974, Ch. 5 (John Wiley, New York).
2.
ZhangY.Vibrations of stepped one-way thin rectangular plates subjected to in-plane tensile/compressive force in y-direction on Winkler's foundationJ. Appl. Math. and Mechanics (Engl. Edn), 2000, 121 (7), 783–790.
3.
ZhangY.WangX.Vibrations of stepped one-way thin rectangular plates on Winkler's foundationJ. Appl. Math. and Mechanics (Engl. Edn), 1988, 19 (2), 169–177.
