Article Sidebar

Submitted
April 20, 2018
Accepted
September 6, 2018
Published
September 17, 2018
Download
PDF
Statistic
Read Counter : 2217 Download : 2286

Main Article Content

Abstract

The suspension system is part of motorcycle that serves to absorb vibration and shocks of the road surface so as to improve the safety and comfort while driving. Motorcycle typically use double shockbreaker system which analogous to a two-spring system arranged in parallel. The aim of this researh is to analyze the model of the model of double shockbreaker motorcycle suspension system that working without outside force using passive suspension system. The data used are from damper tester experiment, then model analyzed using analytical method and the fourth order of numerical Runge-Kutta method. This research use shockbreaker observation datas that is the measurment data of spring constant and damping constant by performing damper tester using 4 different loads. The process model analysis using Matlab R2013a. Input variables are spring constant, damping constant, and the mass of the load. Methods of analysis using analytical method and the fourth order of Runge-Kutta method. While the resulting outputs are 2 spring constants, change the length of the spring, damping ratio, the optimal damping of the suspension, and the spring deflection chart against time. This model motorcycle suspension system uses solution of differential equations for the under damped suspension condition, that is the suspension system will be insulated a few moments before reaching the equilibrium position. Therefore, the resulting damping rate of the motorcycle is not optimal yet. This study found the optimal damping for each model of the suspension system. The level of accuracy of the fourth order of runge-kutta method for model analysis of the suspension system is quite high with error <0.1 and the timing of analysis is faster than the analytic method. Future research may use other methods or other input variables for more accurate analysis results.

Keywords

Motorcycle Suspension System The Damping Rate Damper Tester The Fourth Order Of Runge-Kutta Method

Article Details

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
Author Biography

Umi Nurofi’atin, Jurusan Matematika, FMIPA Universitas Negeri Yogyakarta, Yogyakarta, 55281, Telp (0274)550846

Mahasiswa S1 Universitas Negeri Yogyakarta
How to Cite
Nurofi’atin, U., & Abadi, A. M. (2018). Model Analysis of Motorcycle Suspension System Using the Fourth Order of Runge-Kutta Method. EKSAKTA: Journal of Sciences and Data Analysis, 18(2), 106–120. https://doi.org/10.20885/eksakta.vol18.iss2.art3
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX
Crossref
Scopus
Google Scholar
Europe PMC

References

  1. Atkinson, K.E, Han, W, & Stewart, D, 2009, Numerical solution of ordinarry differential equations, 70, John Wiley & Sons, Inc, Lowa City, Lowa.
  2. Ayu Aulia Hakim, 2017, Pemodelan dan analisis pengaruh perubahan parameter variable orifice sistem suspensi hidrolik terhadap gaya redam yang dihasilkan dan respon dinamis penumpang pada sepeda motor honda beat 2009, Skripsi, Jurusan Teknik Mesin Institut Sepuluh Nopember, Surabaya.
  3. Bhasha, A.C, Reddy, N.V, and Rajnaveen, B, 2017, Design and analysis of shock absorber, International research juornal of engineering and technology (IRJET), 2017, 04, 201-207.
  4. Denton, Tom, 2012, Advenced automotive fault diagnosis (3nd ed.), 293, Rotledge, New York, USA.
  5. Ika Nurul Hanifah, 2013, Analsis model getaran pegas teredam dengan metode adams-basforth-moulton dan runge-kutta, Skripsi, Jurusan Matematika Universitas Jember, Jember.
  6. Ismi Widyaningrum, 2012, Metode multiple time scale untuk penyelesaian persamaan diferensial tak linear dari sistem double shockbreaker pada sepeda motor, Skripsi, tidak dipublikasikan, Universitas Negeri Semarang, Semarang.
  7. Jazar, R.N, 2008, Vehicle Dynamics: theory and application, 791 – 192, Spinger, New York, USA.
  8. Kartono, 2012, Persamaan diferensial biasa: model matematika fenomena perubahan, 163, Graha Ilmu, Yogyakarta, Indonesia. ISBN 978-979-756-810-8
  9. Karyasa, T.B, 2011, Dasar dasar getaran mekanis, 62, C.V Andi Offet, Yogyakarta, Indonesia. ISBN 978-979-29-1683-6.
  10. M Fauzi Rahman, 2017, Pemodelan dan analisis pengaruh luasan sisi kompresi dan ekspansi dengan variasi diameter piston, orifice, piston rod terhadap gaya redam dan respon dinamis sepeda motor yamaha mio j, Skripsi, Jurusan Teknik Mesin Institut Sepuluh Nopember, Surabaya.
  11. Martande, S, Jangale, Y.N, Motgi, N.S, 2013, Design and analysis of shock absorber. International juornal of application or inovation in engineering & management (IJAIEM), 2013, 02, 195-199.
  12. Muhamad Rai Anggara Putra, 2017, Pemodelan dan analisis pengaruh penggunaan adaptive shock absorber menggunakan variabel orifice terhadap karakteristik gaya redam dan respon dinamis kendaraan, Skripsi, Jurusan Teknik Mesin Institut Sepuluh Nopember, Surabaya.
  13. Munir, Rinaldi, 2010, Metode numerik (revisi ketiga), 366, Informatika, Bandung, Indonesia. ISBN 978-602-8758-08-6.
  14. Pauliza, Oza, 2008, Fisika kelompok teknologi dan kesehatan untuk sekolah menengah kejuruan kelas X( jilid 1), 140, Grafindo Media Pratama, Bandung, Indonesia. ISBN 978-602-00-0175-3.
  15. Peceliunas, Robertas, 2005, Experimen research vehicle oscillation in the case of changeable deceleration, Transport, 2005, 20, 171-175.
  16. Renny Faridah, 2015, Analisis model getaran pegas teredam dengan metode Runge-Kutta gill dan milne, Skripsi, Jurusan Matematika Universitas Jember, Jember.
  17. Sutantra, I N. dan Sampurno, B., 2010, Teknologi otomotif (edisi kedua), 38, Guna Widya Printing, Surabaya, Indonesia. ISBN 979-545-052-2.
  18. Wakid, Mukhamad, 2011, Sistem suspensi kendaraan ringan, 15 – 16, Mentari Pustaka, Yogyakarta, Indonesia. ISBN 978-602-8231-56-5.
  19. Meirianti. 2016. Pengaruh Kemiskinan, Belanja Pemerintah Bidang Pendidikan, Kesehatan dan Ekonomi Terhadap Tingkat IPM di 38 Kabupaten/Kota Provinsi Jawa Timur, 2010-2014. Tugas Akhir. Yogyakarta : Universitas Gajah Mada