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 98
- Downloads 0
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,...
Helicopter rotor sailing by non-smooth dynamics co-simulation
This paper presents the application of a co-simulation approach for the simulation of frictional contact in general-purpose multibody dynamics to a rotorcraft dynamics problem. The proposed approach is based on the co-si...
A high performance computing approach to the simulation of fluid-solid interaction problems with rigid and flexible components
This work outlines a unified multi-threaded, multi-scale High Performance Computing (HPC) approach for the direct numerical simulation of Fluid-Solid Interaction (FSI) problems. The simulation algorithm relies on the ext...
A method of the wear prognosis of sliding bearings
The considerations presented in this paper include a computer analysis of slide bearing wear prognosis using the solutions of recurrence equations complemented with the experimental data values. On the ground of the resu...
Structural and thermal analysis of automotive disc brake rotor
The main purpose of this study is to analyze the thermomechanical behavior of the dry contact between the brake disc and pads during the braking phase. The simulation strategy is based on softawe ANSYS11. The modeling of...