NUMERICAL ERROR METHOD TO DETERMINE THE EFFICIENCY OF REDUCING VIBRATIONS DUE TO EARTHQUAKE LOADS ON BUILDINGS USING FLUID VISCOUS DAMPER

  • Radius Prawiro Information System Department, Computer Science Faculty, Universitas Putra Indonesia “YPTK” Padang, Indonesia
  • Rafki Imani Civil Engineering Department, Engineering Faculty, Universitas Putra Indonesia “YPTK” Padang, Indonesia https://orcid.org/0000-0002-2546-1001
  • Nanda Nanda Civil Engineering Department, Engineering Faculty, Universitas Putra Indonesia “YPTK” Padang, Indonesia
Keywords: FVD Damper, Displacement, Earthquake, Period of Vibration, Reduction

Abstract

According to The Indonesian Earthquake Map, Padang City in West Sumatra is in Earthquake zone 6. This indicates that Padang City is very vulnerable to earthquakes. Meanwhile, developments in the construction of high buildings also continue to show progress all the time. The main problem that is often faced is the issue of structural damage due to earthquakes. Efforts are needed in earthquake engineering on buildings so that collapse can be minimized. The earthquake damping system used is FVD (Fluid Viscous Dampers) with different types. The Type-A damper is FVD-750 kN and the Type-B damper is FVD-1000 kN, and without using a damper. This research aims to analyze the efficiency of reducing earthquake loads such as floor displacement and vibration period of an 18-story building structure 18 meters high from the base.The analysis method used is a numerical method by calculating earthquake load reduction based on numerical error analysis from the two types of dampers used on structures without using dampers. Building planning refers to SNI 1727-2013, SNI 1726-2019, and SNI 2847-2019, and is assisted by ETABS software. Based on SNI 1726-2019, earthquake risk category II, soft soil condition type (SE), earthquake acceleration response value SDS = 0.745g and SD1 = 0.784g are obtained. The earthquake load used is a dynamic load, taking into account that the condition of the building is irregular. Based on the results of the analysis, it was found that the displacement between floors using the Type-AFVD Damper could reduce the displacement by up to 45.72% and with the Type-B FVD Damper it could reduce the displacement by up to 92.72%. Meanwhile, the period of vibration natural using a Type-A FVD Damper can be reduced by up to 12.34% and using a Type-B FVD Damper can be reduced by up to 33.21%.

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References

M. Irwan, W. Alwi, and R. Ibnas, “Analysis of The Spruce Budworm Model using The Heun Method and Third-Order Runge-Kutta,” BAREKENG J. Math. Its Appl., vol. 16, no. 3, pp. 967–974, 2022, doi: https://doi.org/10.30598/barekengvol16iss3pp967-974.

E. Y. Bunga and M. Z. Ndii, “Application of Differential Transformation Method for Solving HIV Model with Anti-Viral Treatment,” BAREKENG J. Ilmu Mat. Dan Terap., vol. 14, no. 3, pp. 377–386, 2020, doi: https://doi.org/10.30598/barekengvol14iss3pp377-386.

S. N. Aulele, “Model Geographically Weighted Poisson Regression dengan Pembobot Fungsi Kernel Gauss Studi Kasus: Jumlah Kematian Bayi di Jawa Timur Tahun 2007,” vol. 5, no. 2, pp. 25–30, 2011.

F. Fikri, E. Djauhari, and E. Rusyaman, “Solusi Pendekatan Persamaan Gelombang Fraksional Non Linear Menggunakan New Version of Optimal Homotopy Asymptotic Method,” BAREKENG J. Ilmu Mat. Dan Terap., vol. 14, no. 4, pp. 523–534, Dec. 2020, doi: 10.30598/barekengvol14iss4pp523-534.

E. E, P. Rahayu, and F. Zuhairoh, “Perbandingan Solusi Numerik Integral Lipat Dua pada Fungsi Aljabar dengan Metode Romberg dan Simulasi Monte Carlo,” J. MSA Mat. Dan Stat. Serta Apl., vol. 5, no. 1, pp. 46–57, 2017, doi: 10.24252/jmsa.V5N1P46.

J. Hadisusanto and S. Mungkasi, “Penyelesaian Model Epidemiologi SIR Menggunakan Metode Runge- Kutta Orde Tiga Dan Metode Adams-Bashforth Orde Tiga,” Ournal Math. Comput. Stat., vol. 6, no. 2, pp. 149–160, 2023.

H. Hasanuddin, “Analisis Galat Energi dan Galat Fase Metode Forward 4th Order Symplectic Chin-Chen untuk Kasus Sistem Osilator Harmonik Sederhana,” POSITRON, vol. 10, no. 2, p. 9, 2020, doi: 10.26418/positron.v10i2.40023.

J. A. Vasquez, “Errors,” in Numerical Method, Kavli-Cambridge: ICF-UNAM, 2021, p. 4.

A. Pujianto, “Pengaruh Lapisan Pasir di Bawah Fondasi terhadap Redaman dan Frekuensi Natural Akibat Beban Gempa (Effect of Sand Layer under Foundation on Damping and Natural Frequency Due To Earthquake Loading),” J. Ilm. Semesta Tek., vol. 12, no. 1, pp. 28–43, 2009.

V. P. T. Malladi, “Earthquake Building Vulnerability and Damage Assessment with reference to Sikkim Earthquake,” A Thesis, Faculty of Geo-Information Science and Earth Observation of The University of Twente, Dehradun, India, 2012.

R. Nasmirayanti, R. Imani, U. D. Arman, and A. Sari, “Analisa Linier Eliminasi Gauss-Jordan untuk Analisis Struktur Rangka Batang Segitiga Sederhana,” Rang Tek. J., vol. 5, no. 1, pp. 156–159, Jan. 2022, doi: 10.31869/rtj.v5i1.2975.

Z. Abidin, F. Purnama, and B. Heryadi, “Pengembangan Metode Integrasi Numerik dengan Frekuensi Batas yang Mampu Mereduksi Pengaruh Sinyal Pengganggu terhadap Hasil Integrasi,” J. Tek. Mesin, vol. 13, no. 1, pp. 18–24, Oct. 2011, doi: 10.9744/jtm.13.1.18-24.

Y. Yahya, M. Sadali, and M. Mahpuz, “Tingkat Ketepatan Hasil Perhitungan Integrasi Numerik Menggunakan Bahasa Pemrograman C# Pada Metode Reimann dan Trapesium,” Infotek J. Inform. Dan Teknol., vol. 2, no. 1, pp. 8–17, 2019, doi: 10.29408/jit.v2i1.981.

Y. Yudhi, E. Noviani, and S. Aljona, “Solusi Persamaan Emden-Fowler Orde Dua dengan Memanfaatkan Matriks Operasional dari Polinomial Bernstein,” BAREKENG J. Ilmu Mat. Dan Terap., vol. 15, no. 2, pp. 335–346, 2021, doi: 10.30598/barekengvol15iss2pp335-346.

A. Adnan, M. Z. Ramli, and S. M. S. A. Razak, “Disaster Management and Mitigation for Earthquakes: Are We Ready?,” in 9th Asia Pacific structural engineering and construction conference (APSEC2015), in APSEC2015. Malaysia, Nov. 2015, pp. 34–44.

D. A. Kourou, A. Ioakeimidou, and D. V. Mokos, “Earthquake Risk Mitigation and Preparedness Communication Policies to Bridge The Gap Between Public Misconceptions and Proper Actions,” presented at the Second European Conference on Earthquake Engineering an Seismology, in August 2014. Istanbul, Aug. 2014, pp. 1–7.

R. Putera, T. Valentina, and D. Irawati, “Earthquake Disaster Mitigation in Padang, Indonesia,” in Proceedings of the International Conference on Social Sciences, Humanities, Economics and Law, Padang, Indonesia: EAI, Sep. 2019, p. 5. doi: 10.4108/eai.5-9-2018.2282602.

S. Syamsidik, A. Nugroho, and M. Fahmi, Aceh Pasca Lima Belas Tahun Tsunami: Kilas Balik dan Proses Pemulihan. Banda Aceh: Tsunami and Disaster Mitigation Research Center (TDMRC) Universitas Syiah Kuala, 2019.

J. Juhaina, T. K. Fasya, and A. I. Kamil, “Problematika di Balik Proses Relokasi Korban Bencana di Siti Ambia,” Aceh Anthropol. J., vol. 3, no. 1, pp. 86–101, 2019, doi: 10.29103/aaj.v3i1.2788.

I. L. N. Rais and L. Somantri, “Analisis Bencana Gempa Bumi dan Mitigasi Bencana di Daerah Kertasari,” J. Samudra Geogr., vol. 4, no. 2, pp. 14–19, 2021, doi: 10.33059/jsg.v4i2.3773.

S. P. Nugroho, “11 Orang Luka dan 101 Rumah Rusak Akibat Gempa 5,6 SR di Solok Selatan,” BNPB (Badan Nasional Penanggulangan Bencana). Accessed: Mar. 15, 2024. [Online]. Available: https://bnpb.go.id/berita/11-orang-luka-dan-101-rumah-rusak-akibat-gempa-56-sr-di-solok-selatan

A. Permana, “Mengenal Gempa Bumi, Sumber, dan Bahayanya,” Institut Teknologi Bandung. Accessed: Nov. 12, 2023. [Online]. Available: https://www.itb.ac.id/berita/mengenal-gempa-bumi-sumber-dan-bahayanya/57739

R. A. S. Poetro, R. Pakpahan, H. Wahab, and S. Sumarwan, Membangun Ketangguhan Desa Melalui Upaya Pengurangan Risiko Bencana. in Buku Pegangan Perencanaan Pembangunan Daerah 2015. Kementerian Perencanaan Pembangunan Nasional, Badan Perencanaan Pembangunan Nasional, 2014.

S. Khannavar, M. H. Kolhar, and A. Algur, “Seismic Analysis of RC Structures Using Friction Dampers,” Int. J. Res. Appl. Sci. Eng. Technol. IJRASET, vol. 5, no. XII, pp. 401–410, 2017.

M. Armaly, H. Damerji, J. Hallal, and M. Fakih, “Effectiveness of Friction Dampers on The Seismic Behavior of High Rise Building VS Shear Wall System,” John Wiley Sons Ltd, vol. 1, no. 5, p. e12075, 2019, doi: 10.1002/eng2.12075.

L. E. P. Altamira, “Seismic Interstory Drift Demands in Steel Friction Damped Braced Buildings,” A Thesis of Master of Science in Civil Engineering, Universidad de las Américas, Puebla, Mexico, Mexico, 2009.

S. S. Begum and D. G. Vani, “Seisimic Analysis of a High Rise Unsymmetrical Building with Dampers Using ETABS,” Int. J. Sci. Res. Sci. Technol., vol. 2, no. 3, pp. 197–205, 2016.

B. Naresh, J. Omprakash, and P. G. Student, “Seismic Design of Multistorey RCC-Building with Dampers Using ETABS,” Int. J. Innov. Res. Sci. Eng. Technol., vol. 7, no. 1, pp. 180–190, 2018, doi: 10.15680/IJIRSET.2018.0701029.

M. Constantinou, A. Reinhorn, D. P. Taylor, S. Fujii, S. Okamoto, and D. Ozaki, “Application of Fluid Viscous Dampers to Earthquake Resistant Design,” Res. Accompl., 2004.

G. P. Raj and B. D. Kumar, “Effect of The Position and Number of Friction Dampers on The Seismic Response of Unsymmetric Building,” Int. Res. J. Eng. Technol., vol. 05, no. 05, pp. 3044–3050, 2018.

A. Ras and N. Boumechra, “Seismic energy dissipation study of linear fluid viscous dampers in steel structure design,” Alex. Eng. J., vol. 55, no. 3, pp. 2821–2832, 2016, doi: 10.1016/j.aej.2016.07.012.

A. K. Sinha and S. Singh, “Seismic Protection of RC Frames using Friction Dampers,” Int. J. Civ. Eng. Technol., vol. 8, no. 2, pp. 289–299, 2017.

D. Carson, A. Malhotra, P. Gopal, A. Braimah, G. D. Giovanni, and R. Pall, “Friction Dampers for Seismic Upgrade of St. Vincent Hospital, Ottawa,” in 13 WCEE, in 1952, vol. 13. Vancouver, B.C., Canada, Aug. 2004, p. 10.

I. H. Mualla, “Parameters influencing the behavior of a new friction damper device,” presented at the SPIE’s 7th Annual International Symposium on Smart Structures and Materials, S.-C. Liu, Ed., Newport Beach, CA, Apr. 2000, pp. 64–74. doi: 10.1117/12.383171.

H. Sutedjo, “Error Numerical Analysis,” in Metode Numerik, vol. 2, Bandung, pp. 1–20. Accessed: Aug. 21, 2024. [Online]. Available: https://www.scribd.com/document/328856514/BAB-II-ANgka-SIgnifikan-Dan-Galat

R. Munir, “Deret Taylor dan Analisis Galat,” ITB, Bandung.

T. Hidayati, W. G. Aedi, and L. F. Masitoh, Metode Numerik, 1st ed., vol. 1. Tangerang Selatan,Banten: UNPAM Press, 2022.

H. Hoel, Complexity and error analysis of numerical methods for wireless channels, SDE, random variables, and quantum mechanics. Stockholm: Computer Science and Communication, Royal Institute of Technology (KTH), 2012.

Y. Liu, T. Tang, G. Liu, and M. Olaimat, “Error Analysis of the Numerical Method for Correcting the Propagation of EM waves in the Troposphere,” J. Microw. Optoelectron. Electromagn. Appl., vol. 19, no. 3, pp. 407–414, Sep. 2020, doi: 10.1590/2179-10742020v19i3791.

L. Zoccoli, E. Bruschi, S. Cattaneo, and V. Quaglini, “Current Trends in Fluid Viscous Dampers with Semi-Active and Adaptive Behavior,” Applied Science, vol. 13, no. 10358, pp. 2–30, 2023, doi: 10.3390.

Y. Zhao, P. Huang, G. Long, Y. Yuan, and Y. Sun, “Inuence of Fluid Viscous Damper on the Dynamic Response of Suspension Bridge under Random Trac Load,” Advances in CivilEngineering, no. 1–15, May 2020, doi: https://doi.org/10.1155/2020/1857378.

K. V. Sharma, V. Parmar, L. Gautam, S. Choudhary, and J. Gohil, “Modelling Efficiency of Fluid Viscous Dampers Positioning for Increasing Tall Buildings’ Resilience to Earthquakes Induced Structural Vibrations,” Soils Dynamics and Earthquke Engineering, vol. 173, no. 108108, pp. 102–113, 2023, doi: https://doi.org/10.1016/j.soildyn.2023.108108.

F. Maraqa, E. Al-Sahawneh, A. Mahamied, J. Assbeihat, and Y. Alzubi, “Parametric Study of The Efficiency of Fluid Viscous Damper in Structures with Different Heights,” International Reviewof Civil Engineering (IRECE), vol. 14, no. 5, pp. 99–110, 2023, doi: https://doi.org/10.15866/irece.v14i5.22496.

H. Indarto, “Perhitungan Beban Gempa pada Bangunan Gedung Berdasarkan Standar Gempa Indonesia yang Baru,” PILAR, vol. 14, no. 1, pp. 42–57, 2005.

A. Rohman, “Studi Eksperimen Redaman Getaran Translasi dan Rotasi dengan Posisi Sumber Eksitasi DVA (Dynamic Vibration Absorber),” J. Elem., vol. 4, no. 1, p. 07, 2017, doi: 10.34128/je.v4i1.2.

N. L. Hajati and A. N. Hanif, “Kajian Kinerja Struktur Gedung Simetris Menggunakan Peredam Tipe Fluid Viscous Damper,” J. Rekayasa Hijau J. Teknol. Ramah Lingkung., vol. 2, no. 2, pp. 123–136, 2018.

A. Pribadi, E. Desmaliana, and D. T. Fadlisha, “Studi Perbandingan Respon Struktur Gedung Menggunakan Fluid Viscous Damper dengan Variasi Jumlah Lantai,” RekaRacana J. Tek. Sipil, vol. 6, no. 1, p. 22, Jul. 2020, doi: 10.26760/rekaracana.v6i1.22.

A. Anonim, “Galat Mutlak dan Galat Relatif,” in Analisis Galat, p. 5.

M. Sabawi, “Errors Analysis and Basic Definitions in Numerical Analysis Lecture Notes,” Department of Mathematics College of Education for Women Tikrit University, Lecture Notes.

Published
2024-10-11
How to Cite
[1]
R. Prawiro, R. Imani, and N. Nanda, “NUMERICAL ERROR METHOD TO DETERMINE THE EFFICIENCY OF REDUCING VIBRATIONS DUE TO EARTHQUAKE LOADS ON BUILDINGS USING FLUID VISCOUS DAMPER”, BAREKENG: J. Math. & App., vol. 18, no. 4, pp. 2273-2282, Oct. 2024.