Arvid Trapp
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View article: Fast assessment of non-Gaussian inputs in structural dynamics exploiting modal solutions
Fast assessment of non-Gaussian inputs in structural dynamics exploiting modal solutions Open
In various technical applications, assessing the impact of non-Gaussian processes on responses of dynamic systems is crucial. While simulating time-domain realizations offers an efficient solution for linear dynamic systems, this method pr…
View article: Data-driven spectral damage estimator for non-stationary vibration loading
Data-driven spectral damage estimator for non-stationary vibration loading Open
Material fatigue describes the failure due to cyclic loading. To ensure structural integrity, i.e. to design structures against material fatigue, a fatigue assessment is essential. Such an assessment can be conducted following either a sta…
View article: Effects of insufficient sampling on counting algorithms in vibration fatigue
Effects of insufficient sampling on counting algorithms in vibration fatigue Open
This paper investigates and quantifies the effects of insufficient sampling on counting algorithms in vibration fatigue. Even though a stress series upholds the Nyquist-Shannon theorem, insufficiently sampled series lead to discrepancies i…
View article: On the transmission of non-Gaussian random loading through linear structures
On the transmission of non-Gaussian random loading through linear structures Open
The kurtosis finds popular application for characterizing the non-Gaussianity of random loading. Commonly overseen is that the kurtosis has a spectral representation – the trispectrum, which provides substantial information regarding the s…
View article: Fatigue assessment of non-stationary random loading in the frequency domain by a quasi-stationary Gaussian approximation
Fatigue assessment of non-stationary random loading in the frequency domain by a quasi-stationary Gaussian approximation Open
The power spectral density (PSD) is a fundamental technique of random vibration fatigue providing an effective statistical characterization that can be processed by linear systems theory and load spectrum estimators. This lays the basis fo…
View article: Characterizing non-Gaussian vibration loading using the trispectrum
Characterizing non-Gaussian vibration loading using the trispectrum Open
This paper addresses the use of higher-order spectra to study the non-Gaussian nature of random vibration loading. Since the power spectral density is only a full description for stationary Gaussian processes, specifying non-Gaussian rando…
View article: Fatigue assessment of amplitude-modulated non-stationary random vibration loading
Fatigue assessment of amplitude-modulated non-stationary random vibration loading Open
Designing mechanical structures exposed to random vibration loading compromises the central challenges of defining comprehensive load assumptions and of processing these efficiently in a fatigue assessment. For this matter of statistical l…