[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.26748/KSOE.2021.014

Development of Empirical Formulas for Approximate Spectral Moment Based on Rain-Flow Counting Stress-Range Distribution

Jun, Seockhee (Floating PV Team, Saemangeum Business Division, Hyundai Global Co., Ltd.)
Park, Jun-Bum (Division of Navigation Science, Korea Maritime and Ocean University)

Publication Information

Journal of Ocean Engineering and Technology / v.35, no.4, 2021 , pp. 257-265 More about this Journal

Abstract

Many studies have been performed to predict a reliable and accurate stress-range distribution and fatigue damage regarding the Gaussian wide-band stress response due to multi-peak waves and multiple dynamic loads. So far, most of the approximation models provide slightly inaccurate results in comparison with the rain-flow counting method as an exact solution. A step-by-step study was carried out to develop new approximate spectral moments that are close to the rain-flow counting moment, which can be used for the development of a fatigue damage model. Using the special parameters and bandwidth parameters, four kinds of parameter-based combinations were constructed and estimated using the R-squared values from regression analysis. Based on the results, four candidate empirical formulas were determined and compared with the rain-flow counting moment, probability density function, and root mean square (RMS) value for relative distance. The new approximate spectral moments were finally decided through comparison studies of eight response spectra. The new spectral moments presented in this study could play an important role in improving the accuracy of fatigue damage model development. The present study shows that the new approximate moment is a very important variable for the enhancement of Gaussian wide-band fatigue damage assessment.

Keywords

Approximate spectral moments; Rain-flow counting distribution; Step-by-step studies; Special parameters; Exponential bandwidth parameters;

Citations & Related Records

Reference

1	Rychlik, I. (1987). A New Definition of the Rainflow Cycle Counting Method. International Journal of Fatigue, 9(2), 119-121. https://doi.org/10.1016/0142-1123(87)90054-5 DOI
2	Lutes, L.D., & Larsen, C.E. (1990). Improved Spectral Method for Variable Amplitude Fatigue Prediction. Journal of Structural Engineering, 116(4), 1149-1164. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:4(1149) DOI
3	American Society for Testing and Materials (ASTM). (2005). Standard Practices for Cycle Counting in Fatigue Analysis (ASTM E1049-85).
4	Gao, S., & Zheng, X.Y. (2019). An Improved Spectral Discretization Method for Fatigue Damage Assessment of Bimodal Gaussian Processes. International Journal of Fatigue, 119, 268-280. https://doi.org/10.1016/j.ijfatigue.2018.09.027 DOI
5	Benasciutti, D. (2004). Fatigue Analysis of Random Loadings (PhD Thesis). University of Ferrara.
6	Benasciutti, D., Cristofori, A., & Tovo, R. (2013). Analogies Between Spectral Methods and Multiaxial Criteria in Fatigue Damage Evaluation. Probabilistic Engineering Mechanics, 31, 39-45. https://doi.org/10.1016/j.probengmech.2012.12.002 DOI
7	Det Norske Veritas (DNV). (2010). Recommended Practice for Riser Fatigue (DNV-RP-F204: DNV).
8	Dirlik, T. (1985). Application of Computers in Fatigue (PhD Thesis). University of Warwick.
9	Zheng, X.Y., Gao, S., & Huang, Y. (2020). Cross-mode Coupling for the Fatigue Damage Evaluation of Trimodal Gaussian Processes. Ocean Engineering, 202, 107177. https://doi.org/10.1016/j.oceaneng.2020.107177 DOI
10	Jiao, G., & Moan, T. (1990). Probabilistic Analysis of Fatigue Due to Gaussian Load Processes. Probabilistic Engineering Mechanics, 5(2), 76-83. https://doi.org/10.1016/0266-8920(90)90010-H DOI
11	Vanmarcke, E.H. (1972). Properties of Spectral Moments with Applications to Random Vibration. Journal of the Engineering Mechanics Division, 98(2), 425-446. https://doi.org/10.1061/JMCEA3.0001593 DOI
12	Jun, S.H., & Park, J.B. (2020). Development of a Novel Fatigue Damage Model for Gaussian Wide Band Stress Responses Using Numerical Approximation Methods. International Journal of Naval Architecture and Ocean Engineering, 12, 755-767. https://doi.org/10.1016/j.ijnaoe.2020.09.005 DOI
13	Larsen, C.E., & Lutes, L.D. (1991). Predicting the Fatigue Life of Offshore Structures by the Single-Moment Spectral Method. Stochastic Structural Dynamics 2, 91-120. https://doi.org/10.1007/978-3-642-84534-5_7 DOI
14	Park, J.B., Choung, J.M., & Kim, K.S. (2014). A New Fatigue Prediction Model for Marine Structures Subject to Wide Band Stress Process. Ocean Eng. 76, 144-151. https://doi.org/10.1016/j.oceaneng.2013.11.002 DOI
15	Wirsching, P.H., & Light, M.C. (1980). Fatigue Under Wide Band Random Stresses. Journal of the Structural Division, 106(7), 1593-1607. https://doi.org/10.1061/JSDEAG.0005477 DOI
16	Zhao, W., & Baker, M.J. (1992). On the Probability Density Function of Rainflow Stress Range for Stationary Gaussian Processes International Journal of Fatigu, 14(2), 121-135. https://doi.org/10.1016/0142-1123(92)90088-T DOI
17	Lloyd's Register (LR). (2018). Fatigue Assessment Including Hull Girder Springing. Global Design Loads of Container Ships and Other Ships Prone to Whipping and Springing, 45-51.