Dynamic stiffness elements for free vibration analysis of stiffened plates

Abstract

The free vibration analysis of stiffened plate assemblies is presented in this paper by using the dynamic stiffness method. The transformed dynamic stiffness matrix of completely free rectangular Mindlin plate is derived by using the transformation matrix. In addition, the global dynamic stiffness matrix of plate assembly is derived by using similar assembly procedure as in the finite element method. The natural frequencies of stiffened plate assemblies with arbitrary boundary conditions are computed and validated against the results obtained by using the finite element software Abaqus. High accuracy of the results is demonstrated.

U okviru ovog rada analizirane su slobodne vibracije ploča sa ukrućenjima primenom metode dinamičke krutosti. Razvijena je transformisana dinamička matrica krutosti potpuno slobodne pravougaone Mindlin-ove ploče korišćenjem matrice transformacije. Takođe, izvedena je globalna dinamička matrica krutosti sistema ploča koristeći sličan postupak kao u metodi konačnih elemenata. Određene su sopstvene frekvencije ploča sa ukrućenjima za različite konturne uslove i upoređene sa vrednostima dobijenim po metodi konačnih elemenata primenom programskog paketa Abaqus. Dobijeni su rezultati visoke tačnosti.