Title
Applications of spring-mass model on crystalline lattices
Date Issued
18 December 2017
Access level
metadata only access
Resource Type
conference paper
Author(s)
Del Carpio Minaya R.
Publisher(s)
Institute of Electrical and Electronics Engineers Inc.
Abstract
In this work we present a study of different one-dimensional, two-dimensional and three-dimensional arrangements of masses coupled by springs, to which are made to vibrate by small oscillations, achieving a vibration over the entire systeml called 'mode of vibration'. To achieve the vibrations, the model Spring-Mass is used, that is a proposed mathematical-physical model by using systems of linear differential equations of second degree with constant coefficients, considering the forces applied to the masses as linear-elastic restitution forces with small displacements. Then the system is discretized and solved numerically by using the Euler-Cromer integration method. In order to experiment, we simulating the vibration of different periodic molecular configurations, where the ions are connected to each other by means of ideal springs. Each ion in the network vibrates as if it were a harmonic oscillator, so it is possible to analyze the dynamic lattice properties, such as the normal modes.
Start page
1
End page
8
Volume
2017-January
Language
Spanish
OCDE Knowledge area
Matemáticas aplicadas
Hardware, Arquitectura de computadoras
Ciencias de la computación
Subjects
Scopus EID
2-s2.0-85046405849
Resource of which it is part
2017 43rd Latin American Computer Conference, CLEI 2017
ISBN of the container
9781538630570
Conference
43rd Latin American Computer Conference, CLEI 2017 Cordoba4 September 2017 through 8 September 2017
Sources of information:
Directorio de Producción Científica
Scopus