PSI - Issue 6

ScienceDirect Available online at www.sciencedirect.com Av ilable o line at ww.sciencedire t.com ScienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Structu al Integrity 6 (2017) 224–227 Available online at www.sciencedirect.com Structural Integrity Procedia 00 (2017) 000–000 Available online at www.sciencedirect.com Structural Integrity Procedia 00 (2017) 000–000

www.elsevier.com/locate/procedia www.elsevier.com / locate / procedia www.elsevier.com / locate / procedia

XV Portuguese Conference on Fracture, PCF 2016, 10-12 February 2016, Paço de Arcos, Portugal Thermo-mechanical modeling of a high pressure turbine blade of an airplane gas turbine engine P. Brandão a , V. Infante b , A.M. Deus c * a Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal b IDMEC, Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal c CeFEMA, Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal Abstract During their operation, modern aircraft engine components are subjected to increasingly demanding operating conditions, especially the high pressure turbine (HPT) blades. Such conditions cause these parts to undergo different types of time-dependent degradation, one of which is creep. A model using the finite element method (FEM) was developed, in order to be able to predict the creep behaviour of HPT blades. Flight data records (FDR) for a specific aircraft, provided by a commercial aviation company, were used to obtain thermal and mechanical data for three different flight cycles. In order to create the 3D model needed for the FEM analysis, a HPT blade scrap was scanned, and its chemical composition and material properties were obtained. The data that was gathered was fed into the FEM model and different simulations were run, first with a simplified 3D rectangular block shape, in order to better establish the model, and then with the real 3D mesh obtained from the blade scrap. The overall expected behaviour in terms of displacement was observed, in particular at the trailing edge of the blade. Therefore such a model can be useful in the goal of predicting turbine blade life, given a set of FDR data. Copyright © 2017 The Auth rs. Publis d by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. XXVII International Conference “Mathematical and Computer Simulations in Mechanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Numerical and Experimental Research of Natural Frequencies and Mode Shapes for Runner of Francis Turbine Valerii P. Zolotarevich a, ∗ , A exandr E. Salienko b , Alexandr I. Frumen c , Nicolay V. Yugov d a ITMO University, 49 Kronverksky Pr., St. Petersburg, 197101, Russia LLC ”TGR-Engineering” Lotsmanskaya, 10 / 14, St. Petersburg 190008, Russia b JSC Tyazhmash 13 Hydroturbinnaya St., Syzran, Samara region, 446010, Russia c State Marine Technical University of Saint-Petersburg Lo smanskaya, 3, St. Petersburg 190008, Russia d LLC ”TGR-Engineering” Lotsmanskaya, 10 / 14, St. Petersburg 190008, Russia Abstract The construction of the physico-mathematical model for the runner of a Francis turbine for calculation of natural frequencies and vibration modes taking into account the influence of liquid is given. Calculation studies on the analysis of natural frequencies and modes of oscillations of the runner were performed on the basis of the application of a coupled finite and boundary elements method. The developed methods also used for comparison of numerical and experimental parameters of natural vibrations for di ff erent types of hydraulic machines. The results of calculations for runner Francis turbine and the blade of the runner Kaplan turbine showed good agreement with the experimental data c 2017 The Authors. Published by Elsevier B.V. P er-review und r responsibility of the MCM 2017 organizers. Keywords: natural frequencies and mode shapes; finite element method; boundary element method; vibration; resonance frequency; structural strength; Francis turbine XXVII International Conference “Mathematical and Computer Simulations in Mechanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Nu erical and Experimental Research of Natural Frequencies and ode Shapes for Runner of Francis Turbine Valerii P. Zolotarevich a, ∗ , Alexandr E. Salienko b , Alexandr I. Frumen c , Nicolay V. Yugov d a ITMO University, 49 Kronverksky Pr., St. Petersburg, 197101, Russia LLC ”TGR-Engineering” Lotsmanskaya, 10 / 14, St. Petersburg 190008, Russia b JSC Tyazhmash 13 Hydroturbinnaya St., Syzran, Samara region, 446010, Russia c State Marine Technical University of Saint-Petersburg Lotsmanskaya, 3, St. Petersburg 190008, Russia d LLC ”TGR-E ineering” Lotsmanskaya, 10 / 14, St. Petersburg 190008, Russia Abstract The construction of the physico-mathematical model for the runner of a Francis turbine for calculation of natural frequencies and vibration modes taking into account the influence of liquid is given. Calculation studies on the analysis of natural frequencies and modes of oscillations of the runner were performed on the basis of the application of a coupled finite and boundary elements method. The developed methods also used for comparison of numerical and exp rimental parameters of natural vibrations for di ff erent types of hydraulic machines. The results of calculations for runner Francis turbine and the blade of the runner Kaplan turbine showed good agreement with the experimental data c 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. Keywords: natural frequencies and mode shapes; finite element method; boundary element method; vibration; resonance frequency; structural strength; Francis turbine

© 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016.

1. Introduction 1. Introduction

Keywords: High Pressure Turbine Blade; Creep; Finite Element Method; 3D Model; Simulation.

Recently, modernizing the HPP leads to higher requirements of the energy characteristics for components of hydro turbines . This situation gives to such design solutions, which require additional research in the field for resonant vibration of the turbine parts. For designing turbines the methods of estimation of natural frequencies of all elements turbines such as the stator vanes, guide vanes and runner of Francis or Kaplan turbines are very importance. The finite elements method the most widely used to solve such problems. In Fjeld (2015); Zhongyu and Zhengwei (2016) are examples of analysis Recently, modernizing the HPP leads to higher requirements of the energy characteristics for components of hydro turbines . This situation gives to such design solutions, which require additional research in the field for resonant vibration of the turbine parts. For designing turbines the methods of estimation of natural frequencies of all elements turbines such as the stator vanes, guide vanes and runner of Francis or Kaplan turbines are very importance. The finite elements method the most widely used to solve such problems. In Fjeld (2015); Zhongyu and Zhengwei (2016) are examples of analysis

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt ∗ Corresponding author. Tel.: + 7-906-259-8093. E-mail address: vpzolotarevich@corp.ifmo.ru ∗ Corresponding author. Tel.: + 7-906-259-8093. E-mail address: vpzolotarevich@corp.ifmo.ru

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. 2210-7843 c 2017 The Authors. Published by Elsevier B.V. Peer-revi w under responsibility of the MCM 2017 organizers. 2210-7843 c 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 2452-3216 Copyright  2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 10.1016/j.prostr.2017.11.034