Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability
Yıl: 2021 Cilt: 0 Sayı: 14 Sayfa Aralığı: 87 - 98 Metin Dili: İngilizce DOI: 10.47072/demiryolu.860789 İndeks Tarihi: 03-10-2021
Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability
Öz: This paper investigates the performance of a simplified wheel/rail contact modeling approach that can be implemented to dynamics analysis of railway vehicles. The scope is limited to a two-axle bogie system and the problem is investigated from the hunting instability perspective. Accordingly, a mathematical model of a two-axle bogie with elastically connected wheelsets is developed. The governing equations of the proposed four degree of freedom mathematical model are obtained. These equations are then first solved analytically by considering a simplified approach for the interfacial forces at the wheel/rail contact interface. Second, the contact forces are calculated by using Kalker’s linear theory, and the corresponding nonlinear governing equations are solved numerically. Based on the results, it is observed that the analytical and numerical solutions show a good match. Hence, it is concluded that the simplified wheel/rail contact modeling approach can represent the dynamics of the system successfully, especially when the system is in a stable state for hunting behavior. Third, the corresponding eigenvalue problem is formulated from the linear equations, and complex eigenvalues are calculated over the operational speed range of the bogie. It is observed that the natural frequencies of the system are speed-dependent, and either one or both of the wheelsets may become unstable at certain parameter sets. Finally, stability maps are generated for several parameters, and a better understanding of the effects of system parameters on the stability of two-axle bogie is obtained.
Anahtar Kelime: Basitleştirilmiş Tekerlek/Ray Temas Modelinin ve Kalker Doğrusal Teorisinin Demiryolu Taşıtı Sinüs Hareketi Kararlılığı Açısından Değerlendirilmesi
Öz: Bu makalede, demiryolu taşıtlarının dinamik analizinde kullanılabilecek basitleştirilmiş birtekerlek/ray temas modelinin performansı incelenmiştir. Bu amaçla, makalenin kapsamı iki tekerlektakımına sahip bir boji sistemi ile sınırlı tutulmuştur ve problem demiryolu taşıtının sinüs hareketikararsızlığı açısından incelenmiştir. Buna göre, elastik olarak birbirine bağlı olan iki tekerlek takımına sahipbir bojinin matematiksel modeli geliştirilmiştir ve önerilen dört serbestlik dereceli matematiksel modelinhareket denklemleri elde edilmiştir. Bu denklemler ilk olarak tekerlek/ray temas arayüzündeki temaskuvvetlerinin basitleştirilmiş bir yaklaşım kullanılarak hesaplanması ile analitik olarak çözülmüştür. Dahasonra, temas kuvvetleri Kalker doğrusal teorisi kullanılarak hesaplanmıştır ve doğrusal olmayan hareketdenklemleri sayısal olarak çözülmüştür. Analitik ve sayısal olarak elde edilen sonuçlar karşılaştırıldığındaçözümlerin iyi bir şekilde eşleştiği görülmüştür. Bu nedenle, basitleştirilmiş tekerlek/ray temas modellemeyaklaşımının, özellikle sistemin sinüs hareketi davranışı açısından kararlı bir durumda olması halinde,sistemin dinamiğini başarılı bir şekilde temsil edebileceği sonucuna varılmıştır. Daha sonra, doğrusalhareket denklemlerinden elde edilen özdeğer problemi ile sistemin karmaşık özdeğerleri, bojininoperasyonel hız aralığı üzerinde hesaplanmıştır. Sistemin doğal frekanslarının hıza bağlı olduğu ve tekerlektakımlarından birinin veya her ikisinin belirli parametre setlerinde dinamik olarak kararsız hale gelebileceğigözlenmiştir. Son olarak, farklı parametreler için kararlılık haritaları üretilmiştir ve sistem parametrelerininiki tekerlek takımına sahip bojinin dinamik kararlılığı üzerindeki etkileri daha iyi anlaşılmıştır.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Sen O (2021). Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. , 87 - 98. 10.47072/demiryolu.860789 |
| Chicago | Sen Osman Taha Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. (2021): 87 - 98. 10.47072/demiryolu.860789 |
| MLA | Sen Osman Taha Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. , 2021, ss.87 - 98. 10.47072/demiryolu.860789 |
| AMA | Sen O Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. . 2021; 87 - 98. 10.47072/demiryolu.860789 |
| Vancouver | Sen O Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. . 2021; 87 - 98. 10.47072/demiryolu.860789 |
| IEEE | Sen O "Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability." , ss.87 - 98, 2021. 10.47072/demiryolu.860789 |
| ISNAD | Sen, Osman Taha. "Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability". (2021), 87-98. https://doi.org/10.47072/demiryolu.860789 |
| APA | Sen O (2021). Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. Demiryolu Mühendisliği, 0(14), 87 - 98. 10.47072/demiryolu.860789 |
| Chicago | Sen Osman Taha Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. Demiryolu Mühendisliği 0, no.14 (2021): 87 - 98. 10.47072/demiryolu.860789 |
| MLA | Sen Osman Taha Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. Demiryolu Mühendisliği, vol.0, no.14, 2021, ss.87 - 98. 10.47072/demiryolu.860789 |
| AMA | Sen O Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. Demiryolu Mühendisliği. 2021; 0(14): 87 - 98. 10.47072/demiryolu.860789 |
| Vancouver | Sen O Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability. Demiryolu Mühendisliği. 2021; 0(14): 87 - 98. 10.47072/demiryolu.860789 |
| IEEE | Sen O "Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability." Demiryolu Mühendisliği, 0, ss.87 - 98, 2021. 10.47072/demiryolu.860789 |
| ISNAD | Sen, Osman Taha. "Assessment of a Simplified Wheel/Rail Contact Model and Kalker’s Linear Theory fromthe Perspective of Hunting Instability". Demiryolu Mühendisliği 14 (2021), 87-98. https://doi.org/10.47072/demiryolu.860789 |
