A STUDY ON EFFICIENCY OF PERFECTLY MATCHED LAYER (PML) FOR SEISMIC SOIL-STRUCTURE INTERACTION

Abstract

The direct method is a finite element approach used in soil-structure interaction (SSI) analysis. The main assumption of this method is the transformation of the infinite soil domain to the truncated soil domain applying different boundary conditions. The objective of this study is to examine the efficiency of The Perfectly Matched Layers (PML) for SSI analysis. For this purpose, the soil-structure problem with different planar-sized truncated soil domains with constrained boundary (CB) and non-reflecting boundary (NRB) were analyzed using 3 different soil stiffness. The results obtained from these analyses were compared with PML and fixed-base reference model results. According to the findings, if the truncated soil domain planar sizes are larger than 10 times the foundation widths for traditional boundary conditions, the effect of the soil domain size is negligible. When the foundation soil stiffness is assumed to be medium and hard, it was observed that PML results are very close to other boundary condition model results, but greater differences were observed in results between PML and other models for soft foundation soil conditions. From the parametrical study, it was concluded that PML provides superiority in terms of computational cost and practical application.

Keywords

• Soil-structure Interaction
• Boundary Condition
• Perfectly Matched Layer
• Non-reflecting Boundary
• Soil Stiffness

Sismik Yapı-Zemin Etkileşimi İçin Mükemmel Eşleşen Katmanların Etkinliği Üzerine Bir Çalışma

Abstract

Direkt yöntem, zemin-yapı etkileşimi (SSI) analizlerinde kullanılan bir sonlu eleman yaklaşımıdır. Bu yöntemin temel varsayımı, sonsuz zemin ortamının, farklı sınır koşulları uygulanarak sınırlandırılmış zemin ortamına dönüştürülmesidir. Bu çalışmanın amacı, SSI analizi için Mükemmel Eşleşen Katmanların (PML) etkinliğini incelemektir. Bu amaçla, zemin-yapı etkileşim problemi geleneksel rijit sınırlar (CB) ve yansıtmayan sınırlar (NRB) ile sınırlandırılan 3 farklı rijitliğe sahip kırpılmış zemin ortamı ile analiz edilmiştir. Bu analizlerden elde edilen sonuçlar referans ankastre tabanlı model ve PML modelleri ile karşılaştırılmıştır. Elde edilen bulgulara göre kırpılmış zemin hacminin plandaki boyutları temel genişliğinin 10 katını aşması durumunda zemin ortamının yapı davranışı üzerindeki etkisinin olmadığı görülmüştür. Temel zemini orta ve sert olması varsayımında PML ve diğer sınır koşullarından elde edilen sonuçların birbirine oldukça yakın olduğu ancak yumuşak zemin koşullarında aralarında daha büyük farklılıkların oluştuğu gözlemlenmiştir. Parametrik çalışmalar sonucunda PML’nin çözüm süresi ve uygulama kolaylığı açısından oldukça üstünlük sağladığı çıkarımı yapılmıştır.

Keywords

• Yapı-zemin Etkileşimi
• Sınır Şartı
• Mükemmel Eşleşen Katman
• Yansıtmayan Sınır
• Zemin Rijitliği

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