A significant development has been made on a new fatigue damage model applicable to Gaussian wide band stress response spectra using numerical approximation methods such as data processing, time simulation, and regression analysis. So far, most of the alternative approximate models provide slightly underestimated or overestimated damage results compared with the rain-flow counting distribution. A more reliable approximate model that can minimize the damage differences between exact and approximate solutions is required for the practical design of ships and offshore structures. The present paper provides a detailed description of the development process of a new fatigue damage model. Based on the principle of the Gaussian wide band model, this study aims to develop the best approximate fatigue damage model. To obtain highly accurate damage distributions, this study deals with some prominent research findings, i.e., the moment of rain-flow range distribution $MRR\left(n\right)$, the special bandwidth parameter ${\mu }_k$, the empirical closed form model consisting of four probability density functions, and the correction factor $Q_C$. Sequential prerequisite data processes, such as creation of various stress spectra, extraction of stress time history, and the rain-flow counting stress process, are conducted so that these research findings provide much better results. Through comparison studies, the proposed model shows more reliable and accurate damage distributions, very close to those of the rain-flow counting solution. Several significant achievements and findings obtained from this study are suggested. Further work is needed to apply the new developed model to crack growth prediction under a random stress process in view of the engineering critical assessment of offshore structures. The present developed formulation and procedure also need to be extended to non-Gaussian wide band processes.

使用数值近似方法（例如数据处理，时间模拟和回归分析），适用于高斯宽带应力响应谱的新疲劳损伤模型已经取得了重大进展。到目前为止，与雨流计数分布相比，大多数替代近似模型提供的损坏结果略有低估或高估。船舶和近海结构的实际设计需要一个更可靠的近似模型，该模型可以使精确解和近似解之间的损坏差异最小化。本文对新型疲劳损伤模型的开发过程进行了详细描述。基于高斯宽带模型的原理，本研究旨在开发最佳的近似疲劳损伤模型。$\mathrm{中号}\mathrm{[R}\mathrm{[R}（ñ）$，特殊带宽参数 ${\mu }_{ķ}$，由四个概率密度函数和校正因子组成的经验闭合形式模型 ${问}_C$。进行了先决条件的数据处理，例如创建各种应力谱，提取应力时间历史以及对雨流进行计数的应力处理，以便这些研究结果提供更好的结果。通过比较研究，所提出的模型显示出更可靠，更准确的破坏分布，非常接近雨流计数解决方案。建议从这项研究中获得一些重要的成就和发现。考虑到海上结构的工程关键性评估，需要进一步开展工作，以将新开发的模型应用于随机应力过程下的裂纹扩展预测。当前开发的配方和程序也需要扩展到非高斯宽带工艺。