Development of implicit method for numerical modeling of turbomachine blade thermoelastic vibrations

Authors

  • Yuri Bykov A. Podgorny Institute of Mechanical Engineering Problems of National Academy of Sciences of Ukraine, 2/10, Pozhar’skoho str., Kharkiv, Ukraine, 61046, Ukraine https://orcid.org/0000-0001-7089-8993

DOI:

https://doi.org/10.15587/2312-8372.2019.184169

Keywords:

numerical methods, theory of elasticity, turbine blade dynamics, aerothermoelastics, gas-turbine engine

Abstract

There was a tendency in recent decades to increase the combustion temperature in gas-turbine engines (GTE). This allows increasing both the efficiency of the engine and the output power. In modern engines, the temperature of the exhaust gas is already significantly higher than the melting temperature of blade material. In this regard, in the design of GTE turbines there is a need to use numerical methods that allow the most reliable modeling of unsteady aerothermoelastic effects. One of the components of the aerothermoelastic problem is to integrate the unsteady equations of thermoelasticity together with the equations of aerodynamics. As these equations must be solved together with a single step in time, implicit numerical integration methods should be preferred. The object of research is the unsteady interaction of thermoelastic vibrations of the turbine blades and gas flow.

This paper presents an implicit numerical method for modeling thermoelastic vibrations of the GTE turbine flow parts, including turbine blades with cooling channels. The method is based on equations of linear thermoelasticity, which are integrated by the finite element method. The investigated volume is divided into cells, forming a calculation grid with hexahedrons with additional nodes. The compute nodes are selected so that one element has 20 nodes. The approximation of the parameters in the element is performed using third-degree polynomials. Time integration is also performed with third-order accuracy.

The results of testing the method on test problems, as well as comparing the results of the vibrations simulation of the standard configuration blades with the results of other authors are shown. The discrepancy of the results does not exceed 0.4 % for the test problem and 0.7 % for the blade vibrations. The obtained results indicate that the presented method can be used for numerical simulation of the unsteady thermoelastic vibrations of the gas-turbine engine flow parts.

Author Biography

Yuri Bykov, A. Podgorny Institute of Mechanical Engineering Problems of National Academy of Sciences of Ukraine, 2/10, Pozhar’skoho str., Kharkiv, Ukraine, 61046

PhD

Department of Hydroaeromechanics of Power Machines

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Published

2019-10-31

How to Cite

Bykov, Y. (2019). Development of implicit method for numerical modeling of turbomachine blade thermoelastic vibrations. Technology Audit and Production Reserves, 5(1(49), 41–44. https://doi.org/10.15587/2312-8372.2019.184169

Issue

Vol. 5 No. 1(49) (2019): Industrial and technology systems

Section

Reports on research projects

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Copyright (c) 2019 Yuri Bykov

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