IDENTIFICATION OF THE OPTIMAL LOCATION OF ELASTOPLASTIC DAMPING JOINTS IN SQUARE-PLAN FOLDED LOW SHELLS UNDER DYNAMIC ACTION

Abstract

: This work is devoted to identifying the optimal location of elastoplastic damping joints incorporated into folded low shells under dynamic action. To do this, the system of governing motion equations of folded low shells is established using the Dirac δ-functions and Heaviside unit function. The solution is obtained by BubnovGalerkin method for determining the minimum frequencies in free vibrations of the folded low shells according to the wave number and fold edge number. Based on the obtained minimum frequencies and the associated vibratory forms, the optimal locations of the elastoplastic damping joints of 12m x12m square plane folded low shells are determined depending on the wave number and fold edge number. Keywords: Folded low shell, wave number, fold edge number