# Basing Vibration Tests on Realistic Specifications Helps Valeo Deliver Reliability and Performance at Right Cost

The key to success for automotive suppliers is to design components that meet reliability targets, keep warranty costs low, while at the same time achieve low production costs. Traditionally, automotive components are tested using generic specifications based on historical damage profiles with little connection to the vehicle that the component will be used on. The result is that the component may be over-designed for some types of vibrations while remaining vulnerable to others.

Valeo has pioneered a new approach that transforms** road load data **acquired from the vehicle on which the components will be used into a test signal that realistically **represents the fatigue loads** seen by the component during its life on the actual vehicle. Valeo worked with HBM-nCode to implement this approach in nCode GlyphWorks test data analysis software and uses this software to quickly **generate synthesized test signals** to drive fatigue test systems. The result is that the component is designed to meet the specific requirements of the vehicle, resulting in a reduction both in manufacturing and warranty costs.

## Reliablity at the right cost

## Converting time histories to realistic specifications

## Evaluating frequency ranges

*Figure 1: Spiked data before (top) and after (bottom) correction*

The first step in this process is to **input the time history data** into GlyphWorks using the time series input glyph. The anomaly detection algorithms within GlyphWorks are used to **detect outliers**. A measurement specialist reviews the anomalies and corrects spikes while keeping an eye out for other defects, such as saturation, that might require the data to be discarded.

*Figure 2: GlyphWorks is used to detect and correct peaks, deviation, loss of signal, saturations, etc. Close-up of corrected data - blue is original, red is corrected.*

Global statistics are then computed on each channel such as max, min, mean, standard deviation, RMS, skewness and kurtosis. These stationary test values are used to quickly assess whether the signal is centered around its mean and its peakiness. Statistical analysis is performed to determine whether the mean and standard deviation values remain constant over the sampling period. These analysis help the measurement expert determine whether to use a **deterministic** or **probabilistic approach **to **calculate the fatigue damage spectrum.**

*Figure 3: Stationary test values including signal, probability density, running mean and running standard deviation*

A Fast Fourier transform is then performed on the time history data with GlyphWorks to help determine what frequency range to excite in the vibration test. Based on the frequencies that are seen, the measurement expert can determine their source. In some cases the measurement expert may decide to limit the frequencies that are included in the damage spectrum. A displacement of a constant amplitude acceleration decreases with the square of the frequency. Sometimes high frequencies can be eliminated because strain is proportional to displacement and high frequencies generate little displacement.

*Figure 4: Sources of noise in different frequency ranges*

## Calculating the fatigue damage spectrum

Figure 5 shows an example of a fatigue damage spectrum calculation using GlyphWorks. The deterministic approach was used in this example because of the non-stationary nature of the signals. The fatigue parameters used are typical for metals: Basquin slope b=8 and dynamic amplification factor: Q=10. The same parameters are used for derivation of the synthesized spectra. The objective is to find a power spectral density or swept sine whose fatigue damage spectrum is equivalent to the fatigue damage spectrum generated from the time history.

This is accomplished in GlyphWorks using an iterative approach that involves adapting the power spectral density until its fatigue damage spectrum overlays with the target fatigue damage spectrum within a certain margin. In the example, the synthesized equivalent power spectral densities are calculated to have an equivalent damage in an exposure duration of 30 hours per axis. A statistical safety factor is added to account for variations in applied loading and the fatigue strength of the component. An additional safety factor is used to account for the limited number of durability tests that will be performed and for the reliability targets of the carmakers. The total safety factor is a product of these two numbers. The realistic specification that was created in the example above was compared to generic specification provided by the automotive manufacturer as shown in Figure 6. The overlay shows that the synthesized specification exceeds the generic specification at frequencies under 200 Hz, typically where the engine orders are important contributors to vibrations. On the other hand, the synthesized specification has a lower magnitude than the existing profile in the high frequencies. In this example use of the generic specification may lead to overdesign at high frequencies and underdesign in the low frequency range.

Valeo has used these methods in the design and validation of over 400 engine cooling products. The company typically begins by using fatigue analysis software to evaluate the PSD specification against the current design. If the simulation shows the current design cannot stand up to the realistic spectra then the design is iterated until engineers are confident that it will pass the test. The realistic specifications produced by the new method have proven to be considerably more accurate than generic specifications.

For example, in one case an automotive OEM asked Valeo to use a generic swept sine test on a plastic component. Valeo measured the time history data and also computed the damage based on a realistic profile. Designs were created to meet both specifications. The design based on the realistic specification saved 100,000 Euros in tooling cost, 0.60 Euros per part in manufacturing costs and also provided a weight savings of 10%.

“Much higher but more difficult to measure savings are achieved through our ability to more accurately design products to meet real world conditions using reliable specifications,” Delaux said. “Parts designed with generic specifications sometimes are unable to stand up to loads generated by specific vehicle configurations. Designing parts to **reliable specifications can generate huge reductions in warranty costs** by ensuring that the part is able to meet the requirements of the application.”

# About Valeo

Valeo is one of Europe’s largest car parts suppliers, providing components for nearly all global car manufacturers. Valeo is organized into four business groups: Comfort and Driving Assistance Systems group (interior controls, security systems); Powertrain Systems (engine and electrical systems, transmissions); Thermal Systems (climate control, compressors, engine cooling); and Visibility Systems (lighting systems, wiper systems). Valeo Service also distributes products to the automotive aftermarket. Valeo has about 120 production sites in 27 countries and more than two-thirds of its sales come from Europe.