ON INVESTIGATION OF DESIGN DATA PARAMETERS INFLUENCE ON SOFT SHELLS OF REVOLUTION DEFORMING

Abstract

The work suggests parameter differentiation method using for simplification of numerical investigation of hyperelastic soft shell static deforming problem design data parameters influence on stress-strain state of the shell. Resolving equation system is formulated in vector-matrix form. In contrast to traditional way of nonlinear problem solution continuation parameter choice, given relations are differentiated with respect to design data parameter, which influence on shell behavior is investigated. At this values of shell stress-strain state components values must correspond to some required shell operation condition, coupling investigated initial data parameter with the magnitudes of some characteristics of the shell state. So nonlinear boundary-value problem comes down to a set of interconnected quasilinear boundary and nonlinear initial problem in derivatives of resolving variables with respect to differentiation parameter, and the condition mentioned represents a relation coupling this parameter with the components of resolving variables vector. Solution of obtained set of equation systems is found sequentially by iterative way in the given parameter variation range. As an example influence of neohookean cylindrical shell fixed at end walls radius on maximum values of shell stress-strain state characteristics and their distribution along the meridian is investigated. It is found out that at radius increasing values of shell strains also increase, at this for circumferential and lateral strains there exists some radius value for which these characteristics reach extremum. For large values of cylinder radius increasing length of boundary effect zone is also typical.