A number of methods have been derived for performing rainflow cycle counting for a response PSD. Note that they tend to be conservative. The Dirlik method is an example of a semi-empirical method for cycle identification. A Matlab script for performing this method is given at: Dirlik_rainflow.zip * * * The following script calculates the […]

## Search Results for 'rainflow'

## Dirlik Rainflow Counting Method from Response PSD

Posted in Fatigue, Matlab on November 8, 2013 | 3 Comments »

## Miner’s Cumulative Fatigue via Rainflow Cycle Counting

Posted in Fatigue, Matlab, Random Vibration on January 26, 2013 | Leave a Comment »

This blog entry is a work-in-progress. Fatigue analysis can be performed in the time domain using rainflow cycle counting. This is an elegant, brute-force approach. One advantage of the time domain approach is that it tends to highlight the occurrences of peaks above 3-sigma for the case of random vibration. These higher peaks can also […]

## Rainflow Fatigue Cycle Counting

Posted in Fatigue, Fortran, Matlab on October 31, 2012 | 3 Comments »

Endo & Matsuishi (1968) developed the Rainflow Counting method by relating stress reversal cycles to streams of rainwater flowing down a Pagoda. This method is very useful for fatigue analysis. The rainflow method allows the application of Miner’s rule in order to assess the fatigue life of a structure subject to complex loading. The resulting […]

## Fatigue Damage for a Stress Response PSD

Posted in Fatigue, Matlab, Power Spectral Density on July 3, 2014 | 5 Comments »

Here is a paper. Estimating Fatigue Damage from Stress Power Spectral Density Functions: estimate_fatigue_psd.pdf * * * This following Matlab program calculates the cumulative rainflow fatigue damage for an input stress PSD using the following wideband methods: 1. Wirsching & Light 2. Ortiz & Chen 3. Lutes & Larsen, Single-Moment 4. Benasciutti & Tovo, alpha […]

## Using Random Vibration Testing to Cover Shock Requirements

Posted in Fatigue, Random Vibration, Shock on June 21, 2014 | 2 Comments »

Aerospace and military components must be designed and tested to withstand shock and vibration environments. Some of this testing occurs as qualification, whereby a sample component is tested to levels much higher than those which it would otherwise encounter in the field. This is done to verify the design. Now consider a launch vehicle component […]

## Fatigue Damage Spectrum, Frequency Domain

Posted in Fatigue, Power Spectral Density on April 24, 2014 | 1 Comment »

There is an occasional need to compare the effects of two different power spectral density (PSD) base input functions for a particular component. This would be the case if the component has already been tested to one PSD but now must be subjected to a new PSD specification. A comparison can readily be performed using […]

## Python Signal Analysis Package GUI

Posted in Python on April 2, 2014 | 5 Comments »

Here is a signal analysis package GUI written using Tkinter: vibrationdata_gui_python.zip It is compatible with Python versions 2.7 to 3.3, and hopefully future 3.x versions. vibrationdata.py is the main script. The remaining scripts are supporting functions. These scripts demonstrate the use of multiple windows. * * * The following signal analysis functions are currently available: […]

## Optimized PSD Envelope for Nonstationary Vibration

Posted in Acceleration, Acoustics, Power Spectral Density, Random Vibration on December 4, 2013 | 2 Comments »

There is a need to derive a PSD envelope for nonstationary acceleration time histories, including launch vehicle data, which may be similar to that shown in the above figure. A PSD can be derived using rainflow fatigue cycle counting along with a Miners-type relative fatigue damage index. The enveloping is then justified using a comparison […]

## Fatigue Damage Spectrum, Time Domain

Posted in Fatigue, Shock on September 30, 2013 | 4 Comments »

Consider a single-degree-of-freedom system subjected to base excitation where the input is an arbitrary time history. The response of the system can be calculated via a digital recursive filtering relationship, which is the numerical engine embedded in the SRS calculation. This is done for each natural frequency and amplification factor Q of interest. Next, […]

## 84th Shock and Vibration Symposium, Tutorial Sessions

Posted in Fatigue, Random Vibration, Shock on September 18, 2013 | Leave a Comment »

I will be teaching two tutorial sessions at: 84th Shock & Vibration Symposium November 3-7, 2013 Atlanta, GA The sessions are: Shock Response Spectra and Time History Synthesis Rainflow Cycle Counting for Random Vibration Fatigue Analysis You are invited to participate. Further information is given at: http://www.savecenter.org/ Thank you, Tom Irvine

## Vibrationdata Matlab Signal Analysis Package

Posted in Acoustics, Matlab, Power Spectral Density on May 29, 2013 | 34 Comments »

Here is a Matlab GUI multi-function signal analysis package: vibrationdata.zip The main script is: vibrationdata.m The remaining scripts are supporting functions. This is a work-in-progress. Some features are not yet installed but will be in a future revision. Please check back for updates. * * * Currently installed features include: autocorrelation & cross-correlation Bessel, Butterworth & […]

## Extending Steinberg’s Fatigue Method

Posted in Avionics, Fatigue, Random Vibration on February 15, 2013 | 2 Comments »

Here is a paper for… Extending Steinberg’s Fatigue Analysis of Electronics Equipment Methodology to a Full Relative Displacement vs. Cycles Curve electronic_rd_n.pdf extending_Steinberg.pptx This paper also shows in a very roundabout way that “fatigue damage equivalence” between sine and random vibration occurs when the sine amplitude (zero-to-peak) is approximately equal to the random vibration 2-sigma […]