Natural vibrations of stepped arches with cracks
¹University of Tartu, Institute of Mathematics and Statistics, J. Liivi 2, EE50409 Tartu, Estonia
²Estonian University of Life Sciences, Institute of Technology, Department of Agricultural and Production Engineering, Fr.R. Kreutzwaldi 56, EE51014 Tartu, Estonia
Natural vibrations of elastic circular arches are studied. The arches are assumed to be of constant width and piece wise constant height. It is assumed that at the re-entrant corners of steps stable surface cracks are located. The aim of the paper is to assess the sensitivity of the eigenfrequencies on the geometrical and physical parameters of the arch including the length and location of each crack.