Analyzing the nonlinear vibration of particles of mass under potential energy as a function of position cubic equation in one variable
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Abstract
The objective of this research is to study the vibration of a mass particle depending on its potential energy as a function of position, starting with calculating the displacement of the mass particle's vibration as a function of time. This research uses Newton's second law of motion and differential equation solving methods to find solutions. This research can also calculate the velocity of the vibrational of a particle of mass as a function of time and the acceleration of the vibration of a particle of mass as a function of time; the kinetic energy of the vibration of a particle of mass as a function of time; and the total energy of the system of vibrations of particles of mass as a function of time.
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บทความที่ได้รับการตีพิมพ์เป็นลิขสิทธิ์ของวารสาร มรภ.กพ. วิทยาศาสตร์ คณิตศาสตร์ และเทคโนโลยี
ข้อคิดเห็นใดๆ ที่ปรากฎในวารสารเป็นวรรณกรรมของผู้เขียนโดยเฉพาะ ซึ่งมหาวิทยาลัยราชภัฏกำแพงเพชรและบรรณาธิการไม่จำเป็นต้องเห็นด้วย
References
รัชนี รุจิวโรดม. (2558). กลศาสตร์ 1. สำนักพิมพ์แห่งจุฬาลงกรณ์มหาวิทยาลัย.
Atam, P. A. (1990). Introduction to classical mechanics. Prentice-Hall.
Saptip, C., Moonsri, P., & Hutem, A. (2021). Calculation of displacement and velocity of particle perturbation by time-dependent external force of cosine and sine function. Journal of Science and Technology Phetchabun Rajabhat University, 1(2), 1–14. https://so04.tci-thaijo.org/index.php/jstpcru/article/view/253601
Farid, M. (2023). Dynamics of a hybrid cubic vibro-impact oscillator and nonlinear energy sink. Communications in Nonlinear Science and Numerical Simulation, 117, Article 106978. https://doi.org/10.1016/j.cnsns.2022.106978
Cveticanin, L. (2012). A review on dynamics of mass variable systems. Journal of the Serbian Society for Computational Mechanics, 6(1), 56–73. https://www.sscm.kg.ac.rs/jsscm/downloads/Vol6No1/Vol6No1_04.pdf
Bao, X., et al. (2026). Amplitude-frequency response characteristics and parameter optimization of a bistable nonlinear energy sink under wide-frequency harmonic excitation. Materials, 19(1176), 1–22. https://doi.org/10.3390/ma19061176
Big-Alabo, A. (2021). Exact analysis of the nonlinear vibration of an archetypal non-natural oscillator. European Physical Journal Plus, 136, Article 107. https://doi.org/10.1140/epjp/s13360-021-01053-5
Kuaykaew, S., Kerdmee, S., Banyenugam, P., Moonsri, P., & Hutem, A. (2016). The analytical description of projectile motion of cricket ball in a linear resisting medium the storm force. Applied Mechanics and Materials, 855, 188–191. https://doi.org/10.4028/www.scientific.net/AMM.855.188
Hutem, A., Suwanwong, S., & Wanaek, A. (2023). Calculation of velocity and displacement as function of time of body in the vertical movement under gravitational field. Journal of Earth Science, Astronomy and Space, 6(1), 29–46.
Hutem, A. (2023). Calculation of the time-dependent velocity and displacement of particle move under time-dependent external force of damping oscillation. Journal of Science and Technology CRRU, 2(1), 1–7.
Hutem, A. (2024). Angular displacement angular velocity and tension force of particle in the pendulum motion under drag force and time-dependent external force. Journal of Science and Technology CRRU, 3(1), 48–65. https://li01.tci-thaijo.org/index.php/jstcrru/article/view/262164
