Use of Refined Finite Element Models for Solving the Contact Thermoalasticity Problem of Gas Turbine Rotors
Journal Title: Проблеми машинобудування - Year 2018, Vol 21, Issue 3
Abstract
A refined mathematical model of gas turbine engine rotors using three-dimensional finite elements of a curvilinear form is developed. All the calculations were performed for rotors, which are widely used in power machine building and shipbuilding. The fact is that such components have a constructive heterogeneity that can hardly be correctly explained using well-known finite elements and their shape functions. On the other hand, the mathematical model should be as simple as possible with a view to its wide use in the process of designing a rotor. Therefore, a new refined finite-element mathematical model was developed, consisting of three-dimensional curvilinear hexahedral finite elements. It was used to calculate the displacement field caused by the complex action of the heat flux and contact load at the junction of rotor elements. This approach makes it possible to describe the entire rotor as a superposition of the developed curvilinear finite element models and make the calculation process more correct and compact. To solve this problem, a system of matrix equations was compiled. It is based on the use of energy balance dependences in the mechanical contact interaction of rotor elements, as well as the heat balance under the influence of non-stationary heat flow. When creating a numerical algorithm for solving the problem, the direct decomposition of Cholesky was used. To make the solution more compact, the Sherman scheme was used. All the calculations of displacement and temperature fields were carried out for two widely used types of joints, which are used to create such rotors, namely: joints with clearance and interference.
Authors and Affiliations
Aleksey Kairov, Sergey Morgun
Keywords
Related Articles
- EP ID EP622093
- DOI 10.15407/pmach2018.03.053
- Views 38
- Downloads 0
New Generation 'Block-Modular' Condenser for K-1000-60 / 1500-2 Turbine Units in Zaporozhskaya NPP
<p class="a"><span lang="EN-US">The condensing devices of steam turbine plants considerably determine the reliable and economical operation of NPP power units. In some cases, breakdowns in their operation result in a for...
Experimental Strength Analysis of Variable Stiffness Waffel-Grid Cylindrical Compartments. Part 2. Analysis Results
This paper presents the results of the experimental analysis of the stress-strain state of the variable stiffness tail compartment (section) designed by the Yuzhnoye Design Bureau. Equivalent compressive forces in the cr...
Peculiarities of Identifying a Power-generating Single-shaft GTE Mathematical Model
The processes of designing and developing gas turbine engines (GTE) are based on using mathematical models (MM), reflecting the physical picture of engine operation processes. One of the ways of improving the MM validity...
Problems of creating scientific and methodological bases of spent nuclear fuel dry cask storage thermal safety in Ukraine
An analytical review of modern researches into spent nuclear fuel (SNF) dry cask storage, or dry storage thermal processes is presented and problems of creating scientific and methodological foundations for SNF dry stora...
Stepwise Optimization of I-section Flexible Elements Under a Fuzzy Approach to Taking into Account Corrosion and Protective Properties of Anticorrosive Coating
This paper is a continuation of research in the field of optimal design of structures under a combined approach to the measurement of corrosion and anticorrosion protective properties of coatings. As noted earlier, such...