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 90
- 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...
Geometric interpretation of a non-linear beam finite element on the Lie group SE(3)
Recently, the authors proposed a geometrically exact beam finite element formulation on the Lie group SE(3). Some important numerical and theoretical aspects leading to a computationally efficient strategy were obtained....
Real-time human in the loop MBS simulation in the Fraunhofer robot-based driving simulator
The paper encompasses the overview of hardware architecture and the systems characteristics of the Fraunhofer driving simulator. First, the requirements of the real-time model and the real-time calculation hardware are d...
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...
Implementation of a geometric constraint regularization for multibody system models
Redundant constraints in MBS models severely deteriorate the computational performance and accuracy of any numerical MBS dynamics simulation method. Classically this problem has been addressed by means of numerical decom...