# Calculation and Experimental Study of Low-Cycle Fatigue of Gas Turbine Engines Booster Drum

^{*}

## Abstract

**:**

## 1. Introduction

^{4}cycles or multi-cycle fatigue results in the range of 10

^{5}cycles and above [5].

## 2. Theoretical Basis

#### 2.1. Study Object

#### 2.2. Methodology Brief Description

^{®}ANSYS Mechanical (version 2020 R2, CADFEM-cis, Moscow, Russia), is used to determine the stress-strain state. This complex is used in modern aircraft engineering to determine the characteristics of the product at the design stage. These calculations require reliable information about material properties, so to verify our calculations, experimental verification of the validity of the computational model was conducted.

- calculation of stress-strain state of the booster drum and determination of dangerous zones;
- development and calculation of SSE cut out of the critical zone, with preservation of the manufacturing technology and the identity of SSC with full-size drums;
- development of test equipment and testing of SSE, confirming the adequacy of the calculation model;
- conducting durability tests of SSE.

## 3. Methodology

#### 3.1. Calculation of the Booster Drum’s SSC in the Critical Zone Area

#### 3.1.1. Application of Geometric Model Parameterization in Strength Calculations

#### 3.1.2. Calculation of the Axisymmetric Rotor Model

#### 3.1.3. Calculation of the Three-Dimensional Sector of the Booster Drum

#### 3.2. Test Methodology and Development of SSE

#### 3.2.1. Designing SSE and Test Equipment

^{®}Siemens NX were used, which made it possible to carry out a series of calculations in an automated mode. The main criterion for selection was the coincidence of SSC in the critical zone of SSE and the full-size booster drum. The cut-out scheme and general view of SSE are presented in the Figure 3 and Figure 4. The reliability of the developed SSE is confirmed by the coincidence of SSC of the model sample with the certification calculation of GTE booster drum sector and with the results of strain gauges and deflection measurements during subsequent cyclic tests.

#### 3.2.2. Calculation of SSC of SSE

## 4. Conducting Tests on LCF SSE

## 5. Analysis of Results and Discussion

^{m}N = C, where m and C are the constants of the fatigue curve, it is possible to obtain the reduced numbers of cycles.

_{i}of SSE tested at the level of stresses σ

_{i}, can be recalculated to the initial stress level σ

_{нN}or any other stress level σ

_{j}according to the Equation (1).

## 6. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 7.**Finite-element grid of the coupled parametric model of SSE and test rig: (

**a**) Full model, (

**b**) simplified model.

Model | N SSE Units | N SSE Elements | N Equipment Units | N Equipment Elements |
---|---|---|---|---|

1 | 347,532 | 102,563 | 642,507 | 189,642 |

2 | 196,934 | 58,831 | 235,647 | 69,553 |

**Table 2.**Properties of materials in the calculation of the coupled parametric model of SSE and test rig.

Parameter | Value |
---|---|

SSE | |

Density, kg/m^{3} | 4450 |

Young’s modulus, MPa, Poisson’s ratio | 1.15 × 10^{5}0.32 |

Test equipment | |

Density, kg/m^{3} | 7820 |

Young’s modulus, MPa, Poisson’s ratio | 2.06 × 10^{5}0.3 |

№ | Voltage Measured, σ | Load, kN | Number of Cycles, N |
---|---|---|---|

1 | 97% | 4470 | 30,000 |

110% | 5364 | 30,000 | |

127% | 6258 | 30,000 | |

142% | 7152 | 6425 | |

2 | Added to voltage 100% | 159,177 | |

107% | 4470 | 30,000 | |

112% | 5364 | 30,000 | |

118% | 6258 | 23,291 | |

3 | Added to voltage 100% | 134,248 | |

96% | 4470 | 30,000 | |

105% | 5364 | 30,000 | |

132% | 6258 | 30,000 | |

140% | 7152 | 4506 | |

4 | Added to voltage 100% | 141,373 | |

101% | 4470 | 30,000 | |

115% | 5364 | 30,000 | |

126% | 6258 | 30,000 | |

142% | 7152 | 26,095 | |

5 | Added to voltage 100% | 249,985 | |

97% | 4470 | 30,000 | |

108% | 5364 | 28,185 | |

Added to voltage 100% | 69,414 |

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**MDPI and ACS Style**

Arkhipov, A.; Ravikovich, Y.; Kholobtsev, D.; Shakhov, A.
Calculation and Experimental Study of Low-Cycle Fatigue of Gas Turbine Engines Booster Drum. *Inventions* **2022**, *7*, 49.
https://doi.org/10.3390/inventions7030049

**AMA Style**

Arkhipov A, Ravikovich Y, Kholobtsev D, Shakhov A.
Calculation and Experimental Study of Low-Cycle Fatigue of Gas Turbine Engines Booster Drum. *Inventions*. 2022; 7(3):49.
https://doi.org/10.3390/inventions7030049

**Chicago/Turabian Style**

Arkhipov, Alexander, Yury Ravikovich, Dmitry Kholobtsev, and Alexander Shakhov.
2022. "Calculation and Experimental Study of Low-Cycle Fatigue of Gas Turbine Engines Booster Drum" *Inventions* 7, no. 3: 49.
https://doi.org/10.3390/inventions7030049