Oscillations of Slabs Supported on Point Supports

Abstract

The urgent task which is addressed in this work is the development of methods for determining the frequencies and forms of vibrations, as well as dynamic reactions of thin slabs with various support systems, including those supported on point supports. The aim of the work is to develop experimental methods for determining the frequencies and forms of natural oscillations of slabs with holes and thin point-supported square solid ones. In this work, the frequencies of square slabs with free edges resting on point supports are determined; the dependences of the vibration frequencies of slabs from the coordinates of point supports and the dimensions of symmetrically placed holes; the arrangement of point supports, wherein the basic frequency of free vibrations of the slab is maximum; the frequencies, shapes, and decrements of vibrations of square slabs supported on four point supports were determined experimentally, as well as the influence of the presence of holes and the degree of pinching of the supports on the dynamic characteristics of these slabs. The article deals with the method and analysis of results of experimental investigations of dynamic characteristics of square solid slabs with holes. Comparison of experimental and theoretical values of frequencies of natural oscillations of slabs showed their good similarity. The results of this work can be applied to dynamic and seismic calculations of point-supported square slabs.