Analysis of latticed shells of revolution

Abstract

Below, we discuss problems in the static analysis of latticed shells of revolution in the linear setting. The bearing structure of the shell comprises a system formed by a family of rigidly interconnected members. The lattice system is treated as a certain continuous, structurally anisotropic shell [7]. 1. Let the meridian o f the centroidal surface of a latticed shell of revolution be specified in a cylindrical coordinate system (z, O, r) by the equation r = r(z). The components of the surface load have the form X=X(z,O); Y = Y ( z , O ) ; Z = Z ( z , @ ) . (1.1) Proceeding from the equations of the general linear theory of thin elastic shells [ 1 ], we derive a system of equilibrium equations and expressions for the strains in terms of the displacements of the centroidal surface of the shell. Invoking the elasticity relations for arbitrary latticed shells [7], we find the elasticity relations for shells (Fig. 1) whose latticework is formed by four groups of members: