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Probabilistic Assessment of Damage from Same Shock Response Spectra due to Variations in Damping

Journal Article · · Shock and Vibration
DOI:https://doi.org/10.1155/2020/8832815· OSTI ID:1765738

Interpretation of field data from shock tests and subsequent assessment of product safety margins via laboratory testing are based on the shock response spectra (SRS). The SRS capture how a single degree of freedom (SDOF) structure responds to the shock at differing frequencies and, therefore, no longer contain the duration or other temporal parameters pertaining to the shock. A single duration can often be included in the technical specification or in the recreation of acceleration vs. time history from the specified SRS; however, there is little basis for that beyond technical judgment. The loss of such temporal information can result in the recreated SRS being the same while its effect on a system or component can be different. This paper attempts to quantify this deficiency as well as propose a simple method of capturing damping from shock waves that can allow the original waveform to be more accurately reconstructed from the SRS. In this study the decay rate associated with various frequencies that comprise the overall shock was varied. This variation in the decay rate leads to a variation in the acceleration vs. time history, which can be correlated to a “Damage Index” that captures the fatigue damage imparted to the object under shock. Several waveforms that have the same SRS but varying rates of decay for either high- or low-frequency components of the shock were investigated. The resulting variation in stress cycles and Damage Index is discussed in the context of the lognormal distribution of fatigue failure data. It is proposed that, along with the SRS, the decay rate is also captured to minimize the discrepancy between field data and representative laboratory tests.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1765738
Report Number(s):
SAND--2020-4095J; 685350
Journal Information:
Shock and Vibration, Journal Name: Shock and Vibration Vol. 2020; ISSN 1070-9622
Publisher:
HindawiCopyright Statement
Country of Publication:
United States
Language:
English

References (6)

Seismic damage diagnosis of a masonry building using short-term damping measurements journal April 2017
A Critical Analysis of Crack Propagation Laws journal December 1963
Cumulative Damage in Fatigue journal September 1945
Dynamic Modification and Damage Propagation of a Two-Storey Full-Scale Masonry Building journal June 2019
A fatigue life calculation method for structural elements made of D16CzATW aluminium alloy journal January 2010
A New Cumulative Fatigue Damage Rule Based on Dynamic Residual S-N Curve and Material Memory Concept journal June 2018

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