Mehmet Akif KOÇ, İsmail ESEN, Mustafa EROĞLU, Yusuf ÇAY, Ömer ÇERLEK

Dynamic Analysis of Flexible Structures Under The Influence of Moving Multiple Vehicles

In this study, the parameters affecting the dynamic behavior of flexible structures under the influence of multiple vehicle passages are examined in detail. The flexible structure considered in the study is considered as a bridge girder with simple supported boundary conditions which modelled according to Euler-Bernoulli thin beam theory. The equations of motion of the bridge beam in contact with the vehicle passing over the bridge were obtained by using the Lagrange equation after the kinetic and potential energies of the system were obtained. The second-order differential equations representing the motion of the system are transformed from the first-order state space matrix representation to the first-order state using the state variables specified in the study. The system of differential equations is then solved with high accuracy using a special program prepared in the MATLAB commercial software using the Runge-Kutta algorithm from the fourth degree in the time domain.

Anahtar Kelimeler:

Flexible structures, moving vehicles, simple supported beam

Esnek Yapıların Çoklu Taşıt Hareketi Etkisi Altında Dinamik Analizi

Bu çalışmada, esnek yapılardan çoklu taşıt geçmesi durumunda dinamik davranışa etki eden parametreler detaylı şekilde incelenmiştir. Çalışmada esnek yapı olarak; Euler-Bernoulli ince kiriş teorisine göre modellenen basit mesnetli köprü kirişi göz önüne alınmıştır. Köprü kirişi ile üzerinden geçen taşıtların temasıyla oluşan hareket denklemleri; sistemin kinetik ve potansiyel enerjisi çıkarıldıktan sonra Lagrange denklemi kullanılarak elde edilmiştir. Sistemin hareketini ifade eden ikinci dereceden diferansiyel denklemler çalışmada belirtilen durum değişkenlerini kullanarak; birinci derece durum uzay formuna dönüştürülmüştür. Diferansiyel denklem sistemi; zamana göre dördüncü dereceden Runge-Kutta algoritması ile MATLAB ticari yazılımında hazırlanan program kullanılarak yüksek hassasiyetle çözülmüştür.

Keywords:

Esnek yapılar hareket eden taşıtlar, basit mesnetli kiriş, Lagrange denklemleri,

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