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Programme of the Workshop

The course is built in such a way, that no prior knowledge on fatigue analysis is needed. The basic principles of the common fatigue damage estimation are described in the first day, while the lectures on vibration fatigue analysis follow in next two days. In order to better suit the needs of participants and to fit the course to the level of their knowledge, several variants of the course are provided as shown in the table below.

November 14, 2022
M. Růžička, J. Papuga, M. Nesládek: Introduction to Fatigue V1 V3
November 15, 2022
J. Slavič: Signal Processing
D. Benasciutti: Uniaxial Vibration Fatigue Analysis
November 16, 2022
F. Cianetti & M. Palmieri: Introduction to Dynamic Analysis
A. Nieslony: Multiaxial Vibration Fatigue Analysis

Topics discussed in individual days follow.

Introduction to Fatigue

This part is covered in variants: Introduction to Fatigue (V1), Complete Course (V3).

Monday, November 14, 2022
8:00-8:50   Registration
8:50-9:00 Jan Papuga Welcome info
9:00-10:30 Milan Růžička Basics in Fatigue
Fatigue Curves
Materials Considerations
Loading Considerations
Statistical Aspects
10:30-11:00   Coffee break
11:00-12:30 Jan Papuga Fatigue Life Estimates
Stress-Life Based Fatigue Estimate
Factors Affecting Fatigue Life
Strain-Life Based Fatigue
An example of the workflow
12:30-13:30   Lunch
13:30-15:00 Martin Nesládek Fracture Mechanics
FM Approach
Stress Intensity Factor
Fatigue Crack Growth
An example of the workflow
15:00-15:30   Coffee break
15:30-17:30 Jan Papuga Advanced Topics
Fatigue in Welds
Multiaxial Fatigue
Available Software Applications & Data Sources
FAtigue BEnchmark Repository And Why It Should Matter

Vibration Fatigue Analysis, Part 1

This part is included in all variants except of Introduction to Fatigue (V1).

Tuesday, November 15, 2022
8:00-8:50   Registration
8:50-9:00 Jan Papuga Welcome info
9:00-10:30 Janko Slavič Signal Processing, Part 1
Classifying Time Signals and PSD’s
Statistics, probability and reliability
Loads & “Cross PSD’s”
Gaussian, random and stationary data
Zero and peak crossing rates
Irregularity factor
Root mean square (RMS) value
10:30-11:00   Coffee break
11:00-12:30 Janko Slavič Signal Processing, Part 2
System Transfer Functions (Frequency Domain)
Choosing points on the transfer function
How transfer functions work
FFT’s and PSD’s
Buffers and window averaging
Calculating PSD’s From Time Signals
Hand calculations from a PSD
Case Study
12:30-14:00   Lunch
14:00-15:30 Denis Benasciutti Uniaxial Vibration Fatigue Analysis, Part 1
Analysis of variable amplitude loadings (cycle counting, damage accumulation, critical damage,...). Example.
Extension to random loadings: amplitude probability distribution, expected damage, fatigue life. Example.
Switching to frequency domain: random processes, different analysis levels (from amplitude distribution to damage)
Recaps of PSD concepts (spectral moments, bandwidth parameters). Types of PSD (narrow band, wide band, bimodal) and relationship with cycle distribution damage.
15:30-16:00   Coffee break
16:00-17:30 Denis Benasciutti Uniaxial Vibration Fatigue Analysis, Part 2
Overview of spectral methods
- for narrowband and wideband case (narrow band, Wirsching & Light, Dirlik, Steinberg, Tovo-Benasciutti, α0.75-method)
- and bimodal case (single-moment, Jiao-Moan, Fu-Cebon)
Comparison of methods: numerical and experimental results
Calculation example from PSD data
Special cases: Non-Gaussian and non-stationary loadings
Final notes and recommendations
19:00-22:00(?)   Informal social meeting

Vibration Fatigue Analysis, Part 2

This part is included in all variants except of Introduction to Fatigue (V1).

Wednesday, November 16, 2022
8:00-9:30 Filippo Cianetti, Massimiliano Palmieri Introduction to Dynamic Analysis - Single- and Multi-Degree-of-Freedom Systems
Undamped and damped free-response
Harmonic and general forcing excitation
Frequency response function
Base excitation
9:30-10:00   Coffee break
10:00-11:30 Filippo Cianetti, Massimiliano Palmieri Dynamic Analysis of Randomly Excited Systems
Dynamic analysis by FE
Dynamic analysis by modal approach
How to obtain strain/stress PSD responses and spectral moments
Case Study
11:30-12:30   Lunch
12:30-14:00 Adam Niesłony Multiaxial Vibration Fatigue Analysis, Part 1
Understanding multiaxial load and multiaxial stress state
Description of the spatial stress state
Relation between stress state components, non-proportionality
General concept of frequency domain fatigue life assessment in multiaxial stress state
14:00-14:30   Coffee break
14:30-16:00 Adam Niesłony Multiaxial Vibration Fatigue Analysis, Part 2
Multiaxial fatigue failure criteria:
 - von Mises stress and its evaluation in frequency domain
 - critical plane concept criteria
Case Study
16:00-16:10 Jan Papuga Closing the workshop



Timetables of past volumes, last update: August 24, 2022

Czech Society for Mechanics

FME   CTU in Prague





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