DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY
The mass-spring system is constructed for a mass which is suspended to fixed points by using two identical springs. Mathematical model for this construction is a second-order nonlinear differential equation. The characteristic of the mass-spring system without external forces is conservative since i...
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id-itb.:763642023-08-15T07:31:59ZDYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY Adha Dharmawan, Harits Indonesia Final Project Dynamic System, Two Times Scale Perturbation Method, Non-linear Oscillator. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/76364 The mass-spring system is constructed for a mass which is suspended to fixed points by using two identical springs. Mathematical model for this construction is a second-order nonlinear differential equation. The characteristic of the mass-spring system without external forces is conservative since it is a Hamiltonian system, and the orbits of its solutions will always lie on the level set of the Hamiltonian function. The results of the analysis, using perturbation methods and numerical integration, indicate that the magnitude and qualitative behavior of the solutions depend on the value of the ratio between the original spring length and the distance of the mass to the support, denoted by ????, where 0<????<1 and ????>1. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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The mass-spring system is constructed for a mass which is suspended to fixed points by using two identical springs. Mathematical model for this construction is a second-order nonlinear differential equation. The characteristic of the mass-spring system without external forces is conservative since it is a Hamiltonian system, and the orbits of its solutions will always lie on the level set of the Hamiltonian function. The results of the analysis, using perturbation methods and numerical integration, indicate that the magnitude and qualitative behavior of the solutions depend on the value of the ratio between the original spring length and the distance of the mass to the support, denoted by ????, where 0<????<1 and ????>1. |
| format |
Final Project |
| author |
Adha Dharmawan, Harits |
| spellingShingle |
Adha Dharmawan, Harits DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY |
| author_facet |
Adha Dharmawan, Harits |
| author_sort |
Adha Dharmawan, Harits |
| title |
DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY |
| title_short |
DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY |
| title_full |
DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY |
| title_fullStr |
DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY |
| title_full_unstemmed |
DYNAMICS OF A SPRING-MASS SYSTEM WITH EXTERNAL FORCE AROUND ITS LINEAR RESONANCE FREQUENCY |
| title_sort |
dynamics of a spring-mass system with external force around its linear resonance frequency |
| url |
https://digilib.itb.ac.id/gdl/view/76364 |
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