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All Journal Journal of Science and Applicative Technology Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika Limits: Journal of Mathematics and Its Applications Indonesian Journal of Applied Mathematics
Utomo, Tri
Program Studi Matematika, Institut Teknologi Sumatera, Lampung Selatan, 35365, Indonesia
Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics

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Penerapan Metode Multiple Scales untuk Masalah Galloping pada Mooring Cable FPSO Arfi, Eristia; Utomo, Tri
Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika Vol 7 No 1 (2019)
Publisher : Universitas Dr. Soetomo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (604.879 KB) | DOI: 10.25139/smj.v7i1.1421

Abstract

In essence, all objects in the universe have a natural frequency and when an object get an external force same with their natural frequency a resonance phenomenon will occur. In this study will be examined how the dynamic behavior of the mooring cable type Catenary Anchor Leg Mooring (CALM) on the Floating Production Storage Offloading (FPSO) when it gets external force with a very small frequency but near to the natural frequency itself. In the case of transmission cable, the phenomenon that describe this event is called the Galloping Phenomenon. The mathematics model of CALM system with the very small frequency will be solved using Multiple Scales method. The equilibrium point obtained is in the form of a center (stable). For negative, the amplitude value will be positive when the phase is zero (in-phase), at this condition if the initial conditions are chosen close enough to the equilibrium point then the cable will periodically oscillate with a limited phase value. Then if the initial conditions are selected a little further from the point of equilibrium, the cable will oscillate with amplitude the initial is the maximum amplitude and the value added of the dependent phase against time.
Dimensi Metrik Graf Amal(nKm) Tri Utomo; Novian Riskiana Dewi
Limits: Journal of Mathematics and Its Applications Vol 15, No 1 (2018)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (509.245 KB) | DOI: 10.12962/limits.v15i1.3376

Abstract

Salah satu topik dalam teori graf yang menarik sebagian besar para peneliti adalah tentang dimensi metrik, yaitu kardinalitas minimum resolving set yang mungkin dapat dibentuk dari suatu graf. Pada paper ini dibahas tentang dimensi metrik graf Amal(nK_m), yaitu graf yang dibangun dari topologi jaringan komputer. Graf ini dibentuk berdasarkan n buah jaringan komputer topologi mesh yang dihubungkan menjadi satu-kesatuan jaringan komputer yang lebih besar dengan menggunakan topologi mesh. Dengan kata lain, n buah graf komplit K_m dioperasikan amalgamasi dengan graf Komplit K_n. Graf ini dinotasikan sebagai Amal(nK_m) dengan n≥4 dan m≥4. Dengan menentukan batas bawah dan batas atas kardinalitas resolving set dari Amal(nK_m) didapatkan bahwa dimensi metrik dari graf Amal(nK_m) adalah (m-2)n.
The Delay Simulation on Hierarchical Structure for Semi-Double Track of Railway Line Using Max-Plus Algebra Tri Utomo; Eristia Arfi
Journal of Science and Applicative Technology Vol 2 No 1 (2019): ICoSITeR Special Edition
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (335.852 KB) | DOI: 10.35472/281421

Abstract

The persistently inequality of development between major cities and surrounding areas caused the displacement process, that are transport of supplies or human itself (urbanization) or commonly known as the transportation. The government has set a number of policies to overcome transportation problems, for example construct a double track railway line. This study aimed to find an alternative solution to overcome the problems of transportation, especially railway line by optimizing of using single track railway line which is given the term semi-double track using Petri Nets and Max-Plus Algebra. In the previous research, a Max-Plus algebra model has been developed based on the hierarchical structure of semi-double track railway line. In this research, the model is simulated against the problem of delay.
Analisis Korelasi Sistem Kuliah Lintas Prodi dengan Keefektifan Pembelajaran Mahasiswa Program Studi Matematika Institut Teknologi Sumatera (ITERA) Yenci Brika Enkekes; Khairina Alzulfa Yanti; Roni Setiawan; Novia Restiana; Yuen Rona Fadia; Tri Utomo
Indonesian Journal of Applied Mathematics Vol 1 No 1 (2020): Indonesian Journal of Applied Mathematics Vol. 1 No. 1 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

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Abstract

Kuliah Lintas Prodi adalah kegiatan mengikuti mata kuliah yang ditawarkan di luar mata kuliah Program Studi Matematika. Penelitian ini bertujuan untuk mengetahui hubungan antara keberlakuan sistem kuliah lintas prodi dengan keefektifan pembelajaran mahasiswa Program Studi Matematika Institut Teknologi Sumatera (ITERA). Hal ini melatarbelakangi permasalahan psikologis mahasiswa Program Studi Matematika angkatan 2017 dan 2018. Metode penelitian yang digunakan dalam penelitian ini adalah metode statistik dan pengujian hipotesis dengan Uji Korelasi Pearson dengan menggunakan variabel yaitu skor sistem kuliah lintas prodi dan skor keefektifan dalam belajar. Teknik pengumpulan data yang dilakukan adalah memperoleh data dari kuisioner dengan hasil 52 responden, yang berikutnya digunakan teknik penyajian skor hasil kuisioner. Dari hasil penelitian yang dilakukan maka dapat disimpulkan bahwa tidak terdapat korelasi yang signifikan antara sistem kuliah lintas prodi dengan keefektifan pembelajaran mahasiswa Program Studi Matematika Institut Teknologi Sumatera (ITERA).
Co-Authors Arfi, Eristia Eristia Arfi Khairina Alzulfa Yanti Novia Restiana Novian Riskiana Dewi Roni Setiawan Yenci Brika Enkekes Yuen Rona Fadia