Studi Perbandingan Analisis Statik dan Dinamik pada Girder Kereta Cepat

Authors

  • Erwin Lim Lecturer - Geotechnical Engineering Research Group, Faculty of Civil and Environmental Engineering Institute Technology Bandung
  • Bob Zirads Direktorat Bina Teknik Jalan dan Jembatan, Direktorat Jenderal Bina Marga - Kementerian PUPR
  • Dyah Kusumastuti Lecturer - Geotechnical Engineering Research Group, Faculty of Civil and Environmental Engineering Institute Technology Bandung
  • Herlien D. Setio Lecturer - Geotechnical Engineering Research Group, Faculty of Civil and Environmental Engineering Institute Technology Bandung

DOI:

https://doi.org/10.5614/jts.2024.31.1.2

Keywords:

analisis dinamis, analisis statis, faktor amplifikasi dinamik, kereta cepat, respons struktur

Abstract

Abstrak

Faktor perbesaran dinamis (dynamic amplification factor ? DMF) lazim digunakan oleh perencana untuk memperbesar respons struktur (gaya dalam, perpindahan) yang didapatkan dari analisi statis untuk mengakomodasi efek dinamis dari laju kendaraan. Di dalam beberapa Code, faktor amplifikasi dinamis cenderung berupa rumus empiris yang tergantung pada bentangan struktur, bukan pada laju kendaraan. Studi ini hendak mengevaluasi berapa faktor amplifikasi dinamis yang mungkin terjadi pada momen lentur dan lendutan girder kereta apabila laju kendaraan divariasikan dari 100 km/jam s.d. 550 km/jam. Pemodelan dan analisis didasarkan pada girder tipikal untuk kereta cepat untuk bentang 32,6 m dengan menggunakan software metode elemen hingga. Hasil analisis software pertama-tama diverifikasi dengan solusi eksak dari persamaan gerak dinamik untuk beban terpusat berjalan (moving load), kemudian dilanjutkan dengan analisis terhadap beban kereta cepat CR400AF. Perbandingan antara respons dinamis dan statis (faktor amplifikasi dinamis) yang direkomendasikan oleh Code cenderung konservatif untuk laju kendaraan rencana 350 km/jam.

Kata-kata Kunci: Respon dinamik, beban bergerak, kereta cepat, jembatan box girder, time history analysis.

Abstract

Dynamic amplification factor is commonly used by design engineers to amplify structural response (bending moment, deflection) obtained from static analysis to accommodate dynamic effect resulted from vehicle?s speed. In some design codes, this dynamic amplification factor is an empirical equation which is simply a parameter of girder length, not of speed. This study evaluates the possible amplification factor which migh occur when the speed is varied from 100 km/hour to 550 km/hour. The modeling and analysis is based on a typical girder for high speed train with girder length 32,6 m using finite element software. The results of software was firstly verified against exact solution of an equation of motion due to single concentrated moving load. Then, an analysis due to a high speed train CR400AF was carried out. The comparison between dynamic and static response (indicated by the dynamic amplification factor), be it maximum bending moment or mid span deflection, recommended by the design code tends to be conservative for operational speed of 350km/hour.

Keywords: Analisis dinamis, analisis statis, faktor amplifikasi dinamik, kereta cepat, respons struktur.

References

Cheung, Y. K., Au, F. T. K., Zheng, D. Y., and Cheng, Y. S. (1999). Vibration of Multi-Span Bridges under Moving Vehicles and Trains using Modified Beam Vibration Functions. Journal of Sound and Vibration, Vol. 228, pp. 611-628.

Chopra, A. K. (2007). Dynamics of Structures. Pearson Prentice Hall, 876 pp.

Dai, G. L., Su, M., and Chen, Y. F. (2016). Design and Construction of Simple Beam Bridges for High-Speed Rails in China: Standardization and Industrialization. The Baltic Journal of Road and Bridge Engineering. Vol. 11, No. 4, pp. 274-282.

Diana, G., Cheli, F. (1989). Dynamic Interaction of Railway Systems with Large Bridges. Vehicle System Dynamics, Vol. 18. Pp. 71-106.

Eshkevari, S S., Matarazzo, T. J., dan Pakzad, S. N. (2020). Simplified vehicle-bridge interaction for medium to long-span bridges subject to random traffic load. Journal of Civil Structural Health Monitoring, Vol. 10, pp. 693-707, Springer Berlin Heidelberg.

European Standard (2002) EN 1991-2:2003, Eurocode 1: Actions on structures ? Part 2: Traffic Loads on Bridges, European Committee for Standardization.

Green, M. F., and Cebon, D. (1994). Dynamic Response of Highway Bridges to Highway Vehicle Loads: Theory and Experimental Validation. Journal of Sound and Vibration, No. 170, pp. 651-656.

Ngo-tran, T. L., Hayashikawa, T., dan Matsumoto, T. (2008). Three-Dimensional Bridge-Vehicle Interaction Analysis of Simply Supported Twin I-Girder Bridges. Journal of Structural Engineering, JSCE, Vol. 55A.

Paz, M, and Kim, Y. H. (2019). Structural Dynamics: Theory and Computation. Springer, 652 pp.

Professional Standard of Republic of China TB 10621-2014. (2014). Code for Design of High-Speed Railway. National Railway Administration of the People?s Republic of China.

Salcher, P., and Adam, C. (2015). Modeling of Dynamic Train-Bridge Interaction in High-Speed Railways. Acta Mech, 226, pp. 2473-2495.

Yang, Y. B., Liao, S. S., Lin, B. H. (1995). Impact Formulas for Vehicles Moving over Simple and Continuous Beams. Journal of Structural Engineering, ASCE, Vol. 121, No. 11, pp. 1644-1650.

Yang, Y. B., and Yau, J. D. (1997). Vehicle-Bridge Interaction Element for Dynamic Analysis. Journal of Structural Engineering, ASCE, Vol. 123, No. 11, pp. 1512-1518.

Yang, Y.B., Yau, J.D., Wu, Y. S. (2004): Vehicle-Bridge Interaction Dynamics with Applications to High-Speed Railways, World Scientific Publishing, Singapore.

Xia, H., Zhang, N., and Guo, W.W. (2018). Dynamic Interaction of Train-Bridge Systems in High-Speed Railways. Springer Berlin, Heidelberg.

Published

2024-06-03

How to Cite

Lim, E., Zirads, B. ., Kusumastuti, D. ., & Setio, H. D. (2024). Studi Perbandingan Analisis Statik dan Dinamik pada Girder Kereta Cepat. Jurnal Teknik Sipil, 31(1), 7-16. https://doi.org/10.5614/jts.2024.31.1.2