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All Journal FaST : Jurnal Sains dan Teknologi Indonesian Journal of Adult and Community Education (IJACE)
Gunawan, Caroline
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Humanities Computer Science & IT Education Environmental Science Social Sciences Other

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PEMODELAN FREKUENSI DAN SIMULASI GETARAN SENAR GITAR BASS LISTRIK DAN GITAR AKUSTIK [FREQUENCY MODELING AND VIBRATION SIMULATION OF ELECTRIC BASS AND ACOUSTIC GUITAR STRINGS] Gunawan, Caroline; Margaretha, Helena; Cahyadi, Lina; Widjaja, Petrus
FaST - Jurnal Sains dan Teknologi (Journal of Science and Technology) Vol 7, No 2 (2023): NOVEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/jstfast.v7i2.7594

Abstract

Mathematical equations can represent numerous real-world scenarios, a process known as mathematical modelling. Within this paper, we undertake modelling two musical instruments, specifically the electric bass guitar and the acoustic guitar. Our approach uses partial differential equations (PDEs) to represent these instruments accurately. By establishing the initial condition, we derive the final solution and simulate the frequency using parameters obtained from this solution alongside a frequency formula. The PDE for the electric bass guitar is of non-homogeneous second order, while the PDE for the acoustic guitar is of homogeneous fourth order. The simulation outcomes demonstrate that a lower vibration frequency for the electric bass guitar corresponds to a decreased string density, given a fixed tension. Similarly, this correlation holds for the acoustic guitar. With fixed string tension and Young's Modulus, a lower string density leads to a higher frequency and reduced inertia. Additionally, we provide graphical representations of the analytical solutions for both PDEs.  Bahasa Indonesia Abstract:Persamaan matematika dapat memodelkan banyak situasi dalam dunia nyata. Proses ini disebut pemodelan matematika. Salah satu contoh yang dapat dimodelkan adalah frekuensi alat musik (gitar bass listrik dan gitar akustik). Kedua alat musik tersebut dimodelkan frekuensinya dengan persamaan diferensial parsial (PDP). Solusi akhir akan diperoleh berdasarkan kondisi awal. Simulasi frekuensi dilakukan berdasarkan parameter yang ditemukan dari solusi akhir dan rumus frekuensi. PDP untuk gitar bass listrik adalah orde dua non-homogen, dan PDP untuk gitar akustik adalah orde empat homogen. Hasil simulasi menunjukkan bahwa untuk gitar bass dengan tegangan tertentu, senar dengan densitas rendah menghasilkan frekuensi getaran yang lebih rendah. Hasil yang konsisten juga ditunjukkan untuk gitar akustik. Pada tegangan senar dan Modulus Young yang diberikan, senar dengan densitas rendah menghasilkan frekuensi yang lebih tinggi dan inersia yang lebih rendah. Beberapa grafik solusi analitik dari kedua PDP tersebut juga ditampilkan dalam artikel ini.
Human Resources (HR) Problems that Occur at PKBM Al Muttaqin Gunawan, Caroline; Arif A, Muhammad; Sintiawati, Nani
Indonesian Journal of Adult and Community Education Vol 5, No 1 (2023)
Publisher : Universitas Pendidikan Indonesia (UPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/ijace.v5i1.64273

Abstract

Problems faced by education in Indonesia in general include the quality of human resources, program quality, and program management. This problem in general often occurs in the scope of non-formal education in Indonesia, one of the programs is equality education which is considered to be even greater problematic in its implementation. The methodology in the research used is observational case study research in the sense that this research focuses on problems that are then understood and analyzed in depth with the group. The research method is used to describe holistically and comprehensively about the symptoms and events in the problem of equality education at PKBM AL MUTAQIN. The purpose of writing this scientific paper is to reveal the problems of human resources that occur in the implementation of equality education and how the efforts that can be offered by the group to overcome them, so that they can be used as guidelines for the future so that equality education can be better and independent. As for the results of the study, the first form of human resource problems is the lack of self-confidence and low motivation to follow learning, the second is the need for character strengthening for learning residents so that they do not want to be alone because of the assumption that they have more experience, third there is indecision and lack of appropriate variation in determining learning. The discussion of this study is the problems faced by equality education by looking at two sides of the main problem, namely problems from within the institution and problems from outside the institution. Another factor that is generally faced by institutions and programs is people who do not understand and understand the existence and importance of the role of non-formal education, especially equality education.
PEMODELAN FREKUENSI DAN SIMULASI GETARAN SENAR GITAR BASS LISTRIK DAN GITAR AKUSTIK [FREQUENCY MODELING AND VIBRATION SIMULATION OF ELECTRIC BASS AND ACOUSTIC GUITAR STRINGS] Gunawan, Caroline; Margaretha, Helena; Cahyadi, Lina; Widjaja, Petrus
FaST - Jurnal Sains dan Teknologi (Journal of Science and Technology) Vol. 7 No. 1 (2023): NOVEMBER
Publisher : Universitas Pelita Harapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19166/jstfast.v7i2.7594

Abstract

Mathematical equations can represent numerous real-world scenarios, a process known as mathematical modelling. Within this paper, we undertake modelling two musical instruments, specifically the electric bass guitar and the acoustic guitar. Our approach uses partial differential equations (PDEs) to represent these instruments accurately. By establishing the initial condition, we derive the final solution and simulate the frequency using parameters obtained from this solution alongside a frequency formula. The PDE for the electric bass guitar is of non-homogeneous second order, while the PDE for the acoustic guitar is of homogeneous fourth order. The simulation outcomes demonstrate that a lower vibration frequency for the electric bass guitar corresponds to a decreased string density, given a fixed tension. Similarly, this correlation holds for the acoustic guitar. With fixed string tension and Young's Modulus, a lower string density leads to a higher frequency and reduced inertia. Additionally, we provide graphical representations of the analytical solutions for both PDEs.  Bahasa Indonesia Abstract:Persamaan matematika dapat memodelkan banyak situasi dalam dunia nyata. Proses ini disebut pemodelan matematika. Salah satu contoh yang dapat dimodelkan adalah frekuensi alat musik (gitar bass listrik dan gitar akustik). Kedua alat musik tersebut dimodelkan frekuensinya dengan persamaan diferensial parsial (PDP). Solusi akhir akan diperoleh berdasarkan kondisi awal. Simulasi frekuensi dilakukan berdasarkan parameter yang ditemukan dari solusi akhir dan rumus frekuensi. PDP untuk gitar bass listrik adalah orde dua non-homogen, dan PDP untuk gitar akustik adalah orde empat homogen. Hasil simulasi menunjukkan bahwa untuk gitar bass dengan tegangan tertentu, senar dengan densitas rendah menghasilkan frekuensi getaran yang lebih rendah. Hasil yang konsisten juga ditunjukkan untuk gitar akustik. Pada tegangan senar dan Modulus Young yang diberikan, senar dengan densitas rendah menghasilkan frekuensi yang lebih tinggi dan inersia yang lebih rendah. Beberapa grafik solusi analitik dari kedua PDP tersebut juga ditampilkan dalam artikel ini.
Co-Authors Arif A, Muhammad Lina Cahyadi Margaretha, Helena Nani Sintiawati Widjaja, Petrus