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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
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Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
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Refinamiento y grueso adaptativo impulsado por la fuerza de configuración en la optimización de la topología

Gabriel Stankiewicz1, Chaitanya Dev1, Paul Steinmann1

  • 1Institute of Applied Mechanics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Egerlandstr. 5, 91058 Erlangen, Bavaria Germany.

Structural and multidisciplinary optimization : journal of the International Society for Structural and Multidisciplinary Optimization
|August 22, 2025
PubMed
Resumen

Este estudio introduce las fuerzas de configuración para el refinamiento de la malla adaptativa en la optimización de la topología. Este método refina eficientemente las mallas en las regiones críticas de estrés y límite, reduciendo el costo computacional para diseños complejos.

Palabras clave:
El grueso adaptativoRefinamiento adaptativoFuerzas de configuraciónOptimización de la topología

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Área de la Ciencia:

  • Ingeniería computacional
  • Ciencias de los materiales
  • Ingeniería mecánica

Sus antecedentes:

  • La optimización de la topología es computacionalmente intensiva, especialmente con problemas no lineales que requieren muchas soluciones de sistemas lineales.
  • Las mallas finas son cruciales para la definición estructural precisa y el cálculo de la tensión (por ejemplo, la tensión de von Mises) en la optimización de la topología.
  • El costo computacional aumenta significativamente con los requisitos de malla fina en la optimización de la topología.

Objetivo del estudio:

  • Desarrollar una estrategia computacional eficiente para la optimización de la topología.
  • Para reducir la carga computacional asociada con los requisitos de malla fina en la optimización de la topología.
  • Mejorar la precisión y la eficiencia de la optimización de la topología para estructuras críticas de tensión.

Principales métodos:

  • Se desarrolló una estrategia de refinamiento y grueso de malla adaptativa a varios niveles.
  • La estrategia se basa en las fuerzas de configuración derivadas del estrés de Eshelby.
  • Las fuerzas de configuración se utilizaron para identificar las regiones que necesitaban refinamiento de malla (concentraciones de tensión y límites de diseño).

Principales resultados:

  • Las fuerzas de configuración identifican efectivamente tanto las regiones altamente estresadas como las zonas de transición grises (límites de diseño).
  • El refinamiento adaptativo utilizando fuerzas de configuración crea mallas de alta resolución en áreas críticas.
  • El grueso de varios niveles reduce significativamente el esfuerzo computacional general.

Conclusiones:

  • Las fuerzas de configuración proporcionan un criterio ideal para la adaptabilidad de la malla en la optimización de la topología, particularmente para evitar la falla por tensión.
  • La estrategia propuesta equilibra la necesidad de mallas de alta resolución en áreas críticas con la eficiencia computacional.
  • Este enfoque ofrece una solución prometedora para problemas de optimización de topología que exigen computación.