Author : K.Meera Saheb and G.Venkateswara Rao

A novel formulation to study the large amplitude free vibration behavior of uniform moderately thick square plates with axially immovable edges is presented. The formulation is very simple as the large amplitude free vibration behavior is accurately evaluated knowing the totally unrelated quantities like the tensions developed in the plate due to large deflections and the corresponding buckling load. The basis for this formulation is the recent work of the authors on predicting the free vibration behavior of initially loaded plates. This novel formulation involves three basic steps, through which the large amplitude free vibration behavior of square plates can be very easily and accurately evaluated by following the assumed space mode (accurate single term admissible functions depending on the boundary conditions) approach used by many researches. Numerical results, with emphasis on the fundamental frequency, for the uniform moderately thick square plates, are presented in the digital form in this paper along with the standard solutions of other researchers, to conclusively demonstrate the efficacy of the startling simplicity of the present novel formulation.

Keywords: Free vibration etc.

Article published in International Conference on Advances in Mechanical Sciences 2014, Special Issue-2 (Feb 2014)