Stability and Vibrations of Micrononhomogeneous Plate Band Resting on Elastic Subsoil

Abstract

The paper presents a procedure of calculation of natural frequencies and critical buckling forces of a micrononhomogeneous plate band resting on nonhomogeneous elastic subsoil and having any given boundary conditions. The band consists of N parts – cells [?] called elements, having a constant width l = L/N. Each band element consists of three parts – subelements with variable widths. The two of these subelements are matrix, the third – inclusion placed symmetrically relative to the matrix. Each band element is built of two isotropic materials. The matrix and inclusion bands have the stiffness and mass per area unit as well as they rest on the subsoil. The model has been derived with use of the classical displacement method. The stiffness matrix of any band element and then the band stiffness matrix have been built. An appropriate computer program has been written to calculate natural frequencies and critical buckling forces. A number of tests have been performed to check the working of the program and several calculative examples has been presented in the paper.

Keywords

• natural frequency
• buckling
• elastic subsoil
• displacement method