In this paper, the problem of calculating the stress intensity factor (SIF) for an orthotropic thick-walled cylinder with a small radial crack subject to internal pressure is considered. The crack is assumed to be an edge crack on the external radius of the cylinder. The stress intensity factor is calculated by superposition of an uncracked cylinder with uniform stress distribution and a cylind...

Results are presented generalising superposition to non-linear systems by using qualitative differential equations. These are applied to allow the composition and decomposition of qualitative histories. Histories record the qualitative changes in a system over time, and they can be automatically generated by qualitative simulation. The qualitative superposition of such histories is shown to be ...

We consider the class of trees for which all vertices of degree at least 3 lie on a single induced path of the tree. For such trees, a new superposition principle is proposed to generate all possible orderedmultiplicity lists for the eigenvalues of symmetric (Hermitian)matrices whose graph is such a tree. It is shown that no multiplicity lists other than these can occur and that for two subclas...

This paper presents the effective method for dynamic stress analysis of structural components of bus systems or general mechanical systems. The proposed method is the hybrid superposition method that combined finite element static and eigenvalue analysis with flexible multibody dynamic analysis. In the stress recovery, dynamic stresses are calculated through sum of pseudostatic stresses and mod...

Due to their dual behavior under tension and compression, structures with tension-only members show non-linear behavior. To analize such structures, it is necessary to use a nonlinear analysis scheme. Nonlinear analysis methods generally use gradual loading techniques with/without modification of stiffness matrix of the structure. These methods, in addition to being time consuming algorithms, a...