| 
   
 
 
 
 
 
 
 
 
   
 | WCFA'22-VFAProgramme of the WorkshopThe 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. 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 1This 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
 Moments
 |  
  | 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
 Homework
 |  
  | 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 2This part is included in all variants except of Introduction to Fatigue (V1). 
 | Wednesday, November 16, 2022 |    
  | 8:00-9:30 | Filippo Cianetti | Introduction to Dynamic Analysis Undamped and damped free-response
 Harmonic and general forcing excitation
 Frequency response function
 Base excitation
 Homework
 |  
  | 9:30-10:00 |  | Coffee break |  
  | 10:00-11:30 | 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
 Homework
 |  
  | 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
 Homework
 |  
  | 16:00-16:10 | Jan Papuga | Closing the workshop |      
 Timetables of past volumes
 papuga@pragtic.com, last update: December 29, 2022 | 
 
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