Estimation of newmark displacement according to critical acceleration categories

Year 2026, Volume: 32 Issue: 2

Adil Yiğit

https://doi.org/10.5505/pajes.2025.29499

Abstract

Newmark Method is a useful approximation for the prediction of the amount of earthquake-induced ground movement. According to equations produced depending on this Model, critical acceleration is one of the most significant parameters. In literature, the critical acceleration values of 0.02g, 0.05g, 0.1g, 0.2g, 0.3g and 0.4g have been used to calculate the Newmark Displacement. The equations used as general solutions to calculate ground displacement are independent of these acceleration categories. However, it has been obtaained that the regression fits of the analyses have changed according to these categories. In practice, to obtain the Newmark Displacement of any slope, the critical acceleration of this ground should be firstly calculated. Therefore, because the critical acceleration is known, the displacement can be calculated more accurately using the equation with the most appropriate regression fit in that category. Using 2519 records belonging to 35 significant worldwide earthquakes, the new equations with suitable results in terms of the regression parameters have been acquired and the new and previous regression formulas have been re-obtained according to the acceleration categories and the regression results have been compared. In addition, it has been determined that Newmark approximation gives less suitable regression results when the ground is stronger.

Keywords

Landslide , Strong Ground Motion , Slope Displacement , Newmark Method , Critical Acceleration

Kritik ivme sınıflarına göre newmark deplasmanının tahmin edilmesi

Abstract

Deprem kaynaklı zemin deplasman miktarının tahmini için Newmark Yöntemi kullanışlı bir yaklaşımdır. Kritik ivme değeri bu yönteme bağlı üretilen denklemler için en önemli parametrelerden biridir. Literatürde kritik ivmenin 0,02g; 0,05g; 0,1g; 0,2g; 0,3g ve 0,4g değerleri kullanılarak Newmark Deplasmanı hesaplanmaktadır. Zemin deplasmanının hesabında genel çözüm olarak kullanılan denklemler bu ivme sınıflandırmasından bağımsızdır. Ancak bu sınıflandırmaya bağlı olarak analizlerin regresyon uyumlarının değiştiği tespit edilmiştir. Pratikte herhangi bir şevin Newmark deplasmanını elde etmek için bu zeminin öncelikle kritik ivmesi hesaplanmalıdır. Bu nedenle, kritik ivme bilindiğinden, o kategorideki en uygun regresyon uyumuna sahip denklem kullanılarak yer değiştirme daha doğru hesaplanabilir. Dünya çapındaki 35 önemli depreme ait 2519 kayıt kullanılarak regresyon parametreleri açısından uygun sonuçlara sahip yeni denklemler elde edilmiş, ivme kategorilerine göre yeni ve önceki regresyon formülleri yeniden elde edilerek regresyon sonuçları karşılaştırılmıştır. Ayrıca zeminin daha sağlam olduğu durumlarda Newmark yaklaşımının daha düşük regresyon sonuçları verdiği tespit edilmiştir

Keywords

Heyelan , Kuvvetli Yer Hareketi , Şev Deplasmanı , Newmark Yöntemi , Kritik İvme

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