Investigation of free vibrations of threelayered cylindrical shell supported by transverse ribs

Abstract

Construction of calculation model and development of algorithm of free vibrations investigation in three-layered cylindrical shell with light-weight aggregate, supported by transverse ribsбare considered in paper. Variation equation of transverse vibrations of three-layered shell of symmetric structure, supported by ribs in two perpendicular directions, taking into account the action of longitudinal forces in meddle surfaces of external layers and ribs is achieved. For external bearing layers of shell there are accepted hypotheses of Kirchgoff-Love and for aggregate there is accepted the linear law of tangential displacements change by thickness. Aggregate transverse deformations was not taken into account. The hypotheses of Bernoulli were accepted for ribs. There was taken into account only bending of ribs in vertical surface. Using passage to the limit there was achieved conditions on ribs lines without taking into account shear deformations in ribs. There are given values of parameter of free vibrations first frequency of three-layered sloping cylindrical shell with light-weight aggregate, supported by one and three transverse ribs.