| dc.contributor | Mota de Menezes, Ivan Fabio | |
| dc.contributor | Pereira, Anderson | |
| dc.creator | Ampuero Suárez, Miguel Ángel | |
| dc.date | 2020-10-29T00:44:20Z | |
| dc.date | 2020-10-29T00:44:20Z | |
| dc.date | 2016-04 | |
| dc.date.accessioned | 2024-05-15T17:18:56Z | |
| dc.date.available | 2024-05-15T17:18:56Z | |
| dc.identifier | http://renati.sunedu.gob.pe/handle/sunedu/1527753 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/9424976 | |
| dc.description | Presenta aplicaciones de optimización topológica para problemas de valor propio, como frecuencia natural o carga de pandeo linealizada utilizando elementos finitos-poligonales en dominios bidimensionales. En este trabajo se presentan algunos aplicaciones de optimización de topología para problemas de valores propios donde el objetivo principal es maximizar un valor propio especificado, como una frecuencia natural o una carga de pandeo linealizada utilizando elementos finitos poligonales en dominios bidimensionales arbitrarios. La idea es obtener la distribución óptima del material para maximizar la frecuencia natural fundamental (por ejemplo, para mantenerla alejada de una frecuencia de excitación externa o para maximizar la frecuencia más baja) o maximizar la carga crítica de pandeo (por ejemplo, para asegurar un mayor nivel de estabilidad de las estructuras) sometiendo a una restricción de un porcentaje del volumen total de la estructura, impactando positivamente en el costo del material y la configuración óptima de la estructura sujeto a cargas y condiciones de contorno permitidas. | |
| dc.description | In this work, we present some applications of topology optimization for eigenvalue problems where the main goal is to maximize a specified eigenvalue, such as a natural frequency or a linearized buckling load using polygonal finite elements in arbitrary two-dimensional domains. Topology optimization has commonly been used to minimize the compliance of structures subjected to volume constraints. The idea is to distribute a certain amount of material in a given design domain subjected to a set of loads and boundary conditions such that to maximize its stiffness. In this work, the objective is to obtain the optimal material distribution in order to maximize the fundamental natural frequency (e.g. to keep it away from an external excitation frequency) or to maximize the lowest critical buckling load (e.g. to ensure a higher level of stability of the structures). We employ unstructured polygonal meshes constructed using Voronoi tessellations for the solution of the structural topology optimization problems. The design variables, i.e. material densities, used in the optimization scheme, are associated with each polygonal element in the mesh. We present several topology optimization examples for both eigenfrequency and buckling problems in order to demonstrate the functionality and applicability of the proposed methodology. | |
| dc.description | Brasil. Ministério da Educação. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (Capes) | |
| dc.description | Trabajo de investigación | |
| dc.format | application/pdf | |
| dc.format | application/pdf | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Pontifícia Universidade Católica do Rio de Janeiro | |
| dc.publisher | BR | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Superintendencia Nacional de Educación Superior Universitaria - SUNEDU | |
| dc.source | Registro Nacional de Trabajos de Investigación - RENATI | |
| dc.subject | Autovalores | |
| dc.subject | Carga crítica linealizada | |
| dc.subject | Poligonización (Matemáticas) | |
| dc.subject | Elementos finitos poligonales | |
| dc.subject | Frecuencias naturales de vibración | |
| dc.subject | https://purl.org/pe-repo/ocde/ford#2.03.00 | |
| dc.subject | https://purl.org/pe-repo/ocde/ford#2.00.00 | |
| dc.title | Topology optimization for eigenvalue problems using polygonal finite elements | |
| dc.type | info:eu-repo/semantics/masterThesis | |
