Hızlı Tren Geçişine Maruz Kalan Viyadüklerin Etkin Mod Şekilleri

Abstract

Yüksek hızlı demiryolları, geleneksel demiryollarından daha fazla viyadük gerektirir. Tren ve viyadük arasındaki dinamik etkileşim etkisi, raydan çıkma, yapısal güvenlik ve yolcu konforunun bozulması nedeniyle önemli bir konudur. Bu çalışmada viyadük çok bölmeli bir çerçeve olarak düşünülmüştür. Çok bölmeli çerçeve sonlu elemanlar yöntemi ile modellenmiştir. Tren, 4 serbestlik dereceli iki akslı sistem olarak idealize edilmiştir. Birleştirilmiş araç-yapı sisteminin hareket denklemleri genelleştirilmiş Lagrange denklemi ile belirlenmiştir. Sistemin dinamik yanıtını belirlemek için Wilson-teta zaman integrasyonu yöntemi kullanılmıştır. Etkin mod şekilleri, 3D frekans-hız-genlik grafikleri kullanılarak araştırılmıştır. 1 ve 2 bölmeli çerçevelerin birinci ve ikinci modlarının, yapının rezonans cevabında baskın olduğu belirlenmiştir.

Keywords

• viyadük
• mod şekli
• sonlu elemanlar metodu
• Wilson-theta metodu
• tren

Effective Mode Shapes of Viaducts Subjected to High-speed Train

Abstract

The high-speed railways require more viaducts than conventional railways. The dynamic interaction effect between train and viaduct are important issue due to the risk of derailment, structural safety and deterioration of the passenger comfort. In this study, viaduct is modelled as a multi-bay frame. The multi-bay frame is modelled by finite element method. The train is idealized as a two-axle system with 4 degrees of freedom. The equations of motions of the coupled vehicle-structure system are determined via generalized Lagrange's equation. The Wilson-theta time integration method is employed to determine the dynamic response of the system. The effective mode shapes are investigated using 3D frequency-velocity-amplitude graphs. The resonant response has been determined at first and second modes of 1 and 2-bay frames.

Keywords

• viaduct
• mode shape
• , finite element method
• Wilson-theta method
• train

References

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