The major challenge that remains with random vibration theory (RVT) based predictions of ground motion intensity measures (GMIMs) is the definition of the input ground motion duration. In literature it is reported that random vibration theory optimized duration (D_rvto) (Bora et al. in Bull Seismol Soc Am 105(4):2192–2218, 2015, Earthquake Spectra 35(1):61–932019) can be a better measure of duration in situations when empirical models of FAS (Fourier Amplitude Spectrum) and duration are used in predicting response spectra but, such a measure of duration is often questioned for its physical significance. Moreover, no quantitative assessments are performed to analyze the performance of commonly used significant duration measures (D₇₅, D₉₅ and 2D₈₀) in comparison to D_rvto in the RVT framework. In this study, we perform a comparative study to evaluate the performance of \({D}_{75}, {D}_{95}\) and \(2{D}_{80}\) in generating PGA (Peak Ground Acceleration) and response spectra using the observed FAS of ground motion. This study also investigates the physical significance of \({D}_{rvto}\). Our main analysis is performed on the recorded acceleration traces compiled from the NGA (Next Generation of Attenuation)-West2 database. The efficacy of different measures of ground motion durations is performed using residuals analysis. The duration measure D₇₅ was found to be resulting in the least variation of residual spread in comparison to the other two duration measures. D₉₅ and 2D₈₀ were found to be longer measures of duration, resulting in smaller values of root mean square motion and, hence underprediction of ground motion. While D₇₅ was found to be performing better in the case of real data, we observed that in the case of stochastic simulations, 2D₈₀ performs better.Scaling of D_rvto was found to be identical with that of D₇₅ and 2D₈₀ for real and simulated data, respectively.

基于随机振动理论（RVT）的地面运动强度测度（GMIM）的预测所面临的主要挑战是输入地面运动持续时间的定义。据文献报道，随机振动理论优化持续时间（D _rvto）（Bora等人在Bull Seismol Soc Am 105（4）：2192–2218，2015，Earthquake Spectra 35（1）：61–932019）当使用FAS（傅里叶振幅谱）和持续时间的经验模型来预测响应谱时，可以更好地测量持续时间，但是，这种持续时间的测量方法经常因其物理意义而受到质疑。此外，没有进行定量评估来分析常用的显着持续时间量度（D ₇₅，D₉₅和2D ₈₀）与RVT框架中的D _rvto相比。在这项研究中，我们进行了一项比较研究，以评估\（{D} _ {75}，{D} _ {95} \）和\（2 {D} _ {80} \）在生成PGA（使用观测到的地面运动的FAS得出峰值地面加速度）和响应谱。这项研究还调查了\（{D} _ {rvto} \）的物理意义。我们的主要分析是根据NGA（下一代衰减）-West2数据库汇编的记录的加速轨迹进行的。使用残差分析执行不同的地面运动持续时间量度。持续时间量度D ₇₅与其他两个持续时间测度相比，发现残留扩散的变化最小。发现D ₉₅和2D ₈₀是更长的持续时间量度，导致均方根运动的值较小，因此对地面运动的预测不足。而d ₇₅被发现在实际数据的情况下将被执行更好，我们观察到，在随机模拟的情况下，2D ₈₀执行better.Scaling的d _rvto被认为是与相同d ₇₅和2D ₈₀为真实和模拟数据。