Pemodelan Matematis Pondasi Generator Pada Kapal Pariwisata 15 Meter

Vibration is a mechanical system's response to an excitation force. This final assignment uses mathematical modeling to investigate vibrations in the ship's generator foundation. The initial study searches for the value of stiffness, natural frequency, and excitation frequency because they influence the value of vibrations in the generator foundation. Mathematical equations must be solved using Matlab software to determine the acceleration amplitude. Measurements taken with a vibrometer and software computations must be checked against the acceleration amplitude value using a MAPE range of 0 to 50 percent. This mathematical modeling creates vibrations values in the form of vibration response equations, which may be utilized to create graphs with Matlab software. The vibration response graph contains two versions. 1275 and 1500 RPM. Based on the calculation results, the velocity amplitude is obtained sequentially at 1275 RPM and 1500 RPM with EPY Resin damping material 5.7 mm and 6.43 mm, at 1275 RPM and 1500 RPM with ST3 Steel damping material 5.8 mm and 6.42 mm. According to ABS standards, acceleration is recommended below 126 mm/s² and possible damage above 285 mm/s² and velocity is recommended below 4 mm/s and possible damage above 9 mm/s. The results of this vibration response analysis can be used as a reference in ensuring the vibration of the foundation is safe.

Publication Details

Published
2025-07-13
DOI
https://doi.org/10.33863/cmea.v7i1.3145
Primary Topic
Mathematics Education and Pedagogy
Type
article
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Pemodelan Matematis Pondasi Generator Pada Kapal Pariwisata 15 Meter

Mathematics Education and Pedagogy
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Pemodelan Matematis Pondasi Generator Pada Kapal Pariwisata 15 Meter

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Abstract

Vibration is a mechanical system's response to an excitation force. This final assignment uses mathematical modeling to investigate vibrations in the ship's generator foundation. The initial study searches for the value of stiffness, natural frequency, and excitation frequency because they influence the value of vibrations in the generator foundation. Mathematical equations must be solved using Matlab software to determine the acceleration amplitude. Measurements taken with a vibrometer and software computations must be checked against the acceleration amplitude value using a MAPE range of 0 to 50 percent. This mathematical modeling creates vibrations values in the form of vibration response equations, which may be utilized to create graphs with Matlab software. The vibration response graph contains two versions. 1275 and 1500 RPM. Based on the calculation results, the velocity amplitude is obtained sequentially at 1275 RPM and 1500 RPM with EPY Resin damping material 5.7 mm and 6.43 mm, at 1275 RPM and 1500 RPM with ST3 Steel damping material 5.8 mm and 6.42 mm. According to ABS standards, acceleration is recommended below 126 mm/s² and possible damage above 285 mm/s² and velocity is recommended below 4 mm/s and possible damage above 9 mm/s. The results of this vibration response analysis can be used as a reference in ensuring the vibration of the foundation is safe.

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Mathematics Education and Pedagogy
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