Modal Analysis of Diagonal Arch Bridge with Simple Supports (Pinned–Roller) and Lead Rubber Bearings (LRB)
DOI:
https://doi.org/10.32832/astonjadro.v15i3.22133Keywords:
diagonal arch bridge, modal analysis, LRB, simple support.Abstract
Diagonal arch bridges exhibit unique structural behavior due to their asymmetrical hanger arrangements and complex dynamic interactions among the arch, girders, and hangers. While conventional pinned–roller supports are widely used for their simplicity and cost efficiency, their high horizontal stiffness leads to shorter natural periods and greater seismic demands. To enhance seismic performance, this study investigates the use of lead rubber bearings (LRB) as an alternative support system and evaluates their effects on the dynamic characteristics of a diagonal arch bridge. Using the Detail Engineering Design (DED) of the Mungkid Bridge in Indonesia, two finite element models were developed in Midas Civil 2025: one with conventional pinned–roller supports and another with LRB isolators. Modal analysis was conducted to determine natural periods, mode shapes, and mass participation. Results show that incorporating LRBs lengthens the bridge’s fundamental period by up to 182% compared with the simple-support configuration, effectively reducing natural frequencies and seismic acceleration demands. The LRB model also concentrated modal mass in the first few modes, enabling clearer identification of dominant vibration mechanisms. Although the isolators introduce greater flexibility and improve seismic resilience, further nonlinear time-history analysis is recommended to capture hysteretic effects. These findings highlight the potential of LRBs to improve the seismic adaptability of diagonal arch bridges
References
J. Aguilar-Jiménez, J. M. García-Guerrero, and J. J. Jorquera-Lucerga, “The Diagonal Arch Bridge, a Particular Case of Spatial Arch Bridges,” Appl. Sci., vol. 11, no. 4, p. 1869, Feb. 2021, doi: 10.3390/app11041869.
Z. Liu, X. Ma, and J. Lv, “Seismic Response of a Large-Span Steel Truss Arch Bridge under Nonuniform Near-Fault Ground Motions,” Buildings, vol. 14, no. 8, p. 2308, Jul. 2024, doi: 10.3390/buildings14082308.
H. Yang, H. Wang, B. Li, and J. Yao, “Dynamic response on earthquake analysis of bridge structure isolated by lead-core rubber bearing,” in Advanced Materials Research, 2011. doi: 10.4028/www.scientific.net/AMR.163-167.4251.
F. Naeim and J. M. Kelly, Design of seismic isolated Structures: from theory to practice. 1999.
H. Hamaguchi, T. Wake, M. Yamamoto, and M. Kikuchi, “Practical application of lead rubber bearings with fail‐safe mechanism,” JAPAN Archit. Rev., vol. 2, no. 3, pp. 323–339, Jul. 2019, doi: 10.1002/2475-8876.12087.
A. K. Santoso et al., “Comparative Study of The Seismic Performance Between Simply Supported PSC Box Girder Bridge Equipped with Shear Panel Damper and Lead Rubber Bearing,” Int. J. Technol., vol. 15, no. 5, p. 1321, Sep. 2024, doi: 10.14716/ijtech.v15i5.5750.
H. Sugihardjo, - Tavio, I. Manalu, and Y. Lesmana, “Seismic Study of Application of Lead Rubber Bearings in Kutai Kartanegara Steel Arch Bridge,” Int. J. Adv. Sci. Eng. Inf. Technol., vol. 8, no. 2, p. 540, Apr. 2018, doi: 10.18517/ijaseit.8.2.4348.
T. Suryadi, A. Delitriana, Z. Fukar, and R. Tjendana, “Seismic isolation system of two hinged arch suspended-deck bridge: a case study on Kalikuto bridge - Indonesia,” E3S Web Conf., vol. 156, p. 05024, Mar. 2020, doi: 10.1051/e3sconf/202015605024.
J. T. P. YAO, “Dynamics of Structures By: Anil K. Chopra,” Environ. Eng. Geosci., vol. II, no. 1, pp. 129–130, Mar. 1996, doi: 10.2113/gseegeosci.II.1.129.
M. L. Chandravanshi and A. K. Mukhopadhyay, “Modal analysis of structural vibration,” in ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 2013. doi: 10.1115/IMECE2013-62533.
J. Aguilar-Jiménez, J. M. García-Guerrero, and J. J. Jorquera-Lucerga, “The Diagonal Arch Bridge, a Particular Case of Spatial Arch Bridges,” Appl. Sci., vol. 11, no. 4, p. 1869, Feb. 2021, doi: 10.3390/app11041869.
Z. Liu, X. Ma, and J. Lv, “Seismic Response of a Large-Span Steel Truss Arch Bridge under Nonuniform Near-Fault Ground Motions,” Buildings, vol. 14, no. 8, p. 2308, Jul. 2024, doi: 10.3390/buildings14082308.
H. Yang, H. Wang, B. Li, and J. Yao, “Dynamic response on earthquake analysis of bridge structure isolated by lead-core rubber bearing,” in Advanced Materials Research, 2011. doi: 10.4028/www.scientific.net/AMR.163-167.4251.
F. Naeim and J. M. Kelly, Design of seismic isolated Structures: from theory to practice. 1999.
H. Hamaguchi, T. Wake, M. Yamamoto, and M. Kikuchi, “Practical application of lead rubber bearings with fail‐safe mechanism,” JAPAN Archit. Rev., vol. 2, no. 3, pp. 323–339, Jul. 2019, doi: 10.1002/2475-8876.12087.
A. K. Santoso et al., “Comparative Study of The Seismic Performance Between Simply Supported PSC Box Girder Bridge Equipped with Shear Panel Damper and Lead Rubber Bearing,” Int. J. Technol., vol. 15, no. 5, p. 1321, Sep. 2024, doi: 10.14716/ijtech.v15i5.5750.
H. Sugihardjo, - Tavio, I. Manalu, and Y. Lesmana, “Seismic Study of Application of Lead Rubber Bearings in Kutai Kartanegara Steel Arch Bridge,” Int. J. Adv. Sci. Eng. Inf. Technol., vol. 8, no. 2, p. 540, Apr. 2018, doi: 10.18517/ijaseit.8.2.4348.
T. Suryadi, A. Delitriana, Z. Fukar, and R. Tjendana, “Seismic isolation system of two hinged arch suspended-deck bridge: a case study on Kalikuto bridge - Indonesia,” E3S Web Conf., vol. 156, p. 05024, Mar. 2020, doi: 10.1051/e3sconf/202015605024.
J. T. P. YAO, “Dynamics of Structures By: Anil K. Chopra,” Environ. Eng. Geosci., vol. II, no. 1, pp. 129–130, Mar. 1996, doi: 10.2113/gseegeosci.II.1.129.
M. L. Chandravanshi and A. K. Mukhopadhyay, “Modal analysis of structural vibration,” in ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 2013. doi: 10.1115/IMECE2013-62533.
S. S. Saidin et al., “Operational modal analysis and finite element model updating of ultra-high-performance concrete bridge based on ambient vibration test,” Case Stud. Constr. Mater., 2022, doi: 10.1016/j.cscm.2022.e01117.
D. Astalis Ulul Absor, A. Aminullah, and B. Supriyadi, “Structural Health Assessment of Kretek II Bridge using Enhanced Frequency Domain Decomposition,” J. Civ. Eng. Forum, vol. 10, no. 2, pp. 123–132, Mar. 2024, doi: 10.22146/jcef.9151.
W. S. Ibrahim, A. Aminullah, A. Awaludin, B. Suhendro, B. Supriyadi, and R. R. Krishnamoorthy, “Dynamic Properties Comparison of 1D, 2D, and 3D Model for Concrete Box-Girder Bridge of 40-meter Span,” J. Civ. Eng. Forum, 2022, doi: 10.22146/jcef.4148.
T. Wang, Y. Li, J. Ning, and Y. Li, “Isolation effect analysis for Hong Kong-Zhuhai-Macau bridge,” in Applied Mechanics and Materials, 2011. doi: 10.4028/www.scientific.net/AMM.90-93.946.
P. K. Gupta, G. Ghosh, V. Kumar, P. Paramasivam, and S. Dhanasekaran, “Effectiveness of LRB in Curved Bridge Isolation: A Numerical Study,” Appl. Sci., vol. 12, no. 21, p. 11289, Nov. 2022, doi: 10.3390/app122111289.
I. Farah, A. Rezaiguia, A. Mouassa, L. Debra, and S. Guenfoud, “Free vibration analysis of multi-span orthotropic bridge deck with rubber bearings,” Diagnostyka, 2021, doi: 10.29354/DIAG/132209.
American Association of State Highway and Transportation Officials (AASHTO), 2014. Guide Specifications for LRFD Seismic Bridge Design, 2nd Edition. American Association of State Highway and Transportation Officials. Washington, USA
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