A semi-analytical solution of thick truncated cones using matched asymptotic method and disk form multilayers
Journal Title: Archive of Mechanical Engineering - Year 2014, Vol 0, Issue 3
Abstract
In this article, the thick truncated cone shell is divided into disk-layers form with their thickness corresponding to the thickness of the cone. Due to the existence of shear stress in the truncated cone, the equations governing disk layers are obtained based on first shear deformation theory. These equations are in the form of a set of general differential equations. Given that the truncated cone is divided into n disks, n sets of differential equations are obtained. The solution of this set of equations, applying the boundary conditions and continuity conditions between the layers, yields displacements and stresses. The results obtained have been compared with those obtained through the analytical solution and the numerical solution. For the purpose of the analytical solution, use has been made of matched asymptotic method (MAM) and for the numerical solution, the finite element method (FEM).
Authors and Affiliations
Mohammad Nejad, Mehdi Jabbari
Keywords
Related Articles
- EP ID EP166106
- DOI 10.2478/meceng-2014-0029
- Views 92
- Downloads 0
Investigation of design features of compressor casing treatment
Casing treatment in the form of circumferential grooves over a rotor blade tips is used for improvement of an axial compressor performance. Usually, these grooves extend compressor’s stall range (stable operational range...
Application of the strip yield model to crack growth predictions for structural steel
A strip yield model implementation by the present authors is applied to predict fatigue crack growth observed in structural steel specimens under various constant and variable amplitude loading conditions. Attention is p...
Design and experimental and numerical verifications of the recirculating blower for long-term tests of turbine flowmeters
A design of the centrifugal recirculation blower as well as results of its experimental and numerical investigations are presented in this paper. The blower was designed to work in the unique test stand which is used for...
Experimental and numerical investigation of radial forces acting on centrifugal pump impeller
The paper presents the results of measurements and predictions of radial thrust in centrifugal pump with specific speed n_s = 26. In the pump tested, a volute with rectangular cross-section was used. The tests were carri...
Tracking control of a balancing robot – a model-based approach
This paper presents a control concept for a single-axle mobile robot moving on the horizontal plane. A mathematical model of the nonholonomic mechanical system is derived using Hamel’s equations of motion. Subsequently,...