ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM

ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM

In this thesis, an analysis of the behavior of a nonlinear oscillation model on the vertical motion of a spring pendulum is discussed, using the multiple scales method. By utilizing the multiple scales method, an asymptotic solution is resulted and it incorporates two-time scales: the fast time s...

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Main Author: Zikri, Fadilatil
Format: Theses
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/77571
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:77571
spelling id-itb.:775712023-09-11T09:26:25ZANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM Zikri, Fadilatil Indonesia Theses Motion Spring Pendulum, Nonlinear Oscillation, Multiple Scales Method, Natural Frequency, Non-Resonant, Subharmonic Resonance. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/77571 In this thesis, an analysis of the behavior of a nonlinear oscillation model on the vertical motion of a spring pendulum is discussed, using the multiple scales method. By utilizing the multiple scales method, an asymptotic solution is resulted and it incorporates two-time scales: the fast time scale and the slow time scale. The fast time scale characterizes the rapid oscillations in the system's dynamic response, while the slow time scale encapsulates the system's overall changes. We analyze different scenarios in vertical spring pendulum motion, encompassing the non-resonant and subharmonic resonance cases. The asymptotic solution is then compared with the numerical solution to examine its accuracy. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description In this thesis, an analysis of the behavior of a nonlinear oscillation model on the vertical motion of a spring pendulum is discussed, using the multiple scales method. By utilizing the multiple scales method, an asymptotic solution is resulted and it incorporates two-time scales: the fast time scale and the slow time scale. The fast time scale characterizes the rapid oscillations in the system's dynamic response, while the slow time scale encapsulates the system's overall changes. We analyze different scenarios in vertical spring pendulum motion, encompassing the non-resonant and subharmonic resonance cases. The asymptotic solution is then compared with the numerical solution to examine its accuracy.
format Theses
author Zikri, Fadilatil
spellingShingle Zikri, Fadilatil
ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM
author_facet Zikri, Fadilatil
author_sort Zikri, Fadilatil
title ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM
title_short ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM
title_full ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM
title_fullStr ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM
title_full_unstemmed ANALYSIS OF THE MULTIPLE SCALES METHOD APPROACH FOR THE NONLINEAR OSCILLATION MODEL ON THE MOTION OF THE VERTICAL DIRECTION SPRING PENDULUM
title_sort analysis of the multiple scales method approach for the nonlinear oscillation model on the motion of the vertical direction spring pendulum
url https://digilib.itb.ac.id/gdl/view/77571
_version_ 1822995401728327680

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