A multi-objective optimization method for uncertain structures based on nonlinear interval number programming method

• Xin Liu ^[1] ; Zhiyong Zhang ^[1] ; Lairong Yin ^[1]
  1. [1] Changsha University of Science and Technology

     Changsha University of Science and Technology

     China

     
• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 45, Nº. 1, 2017, págs. 25-42
• Idioma: inglés
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• Resumen

  • multi-objective optimization method for uncertain structures is developed based on nonlinear interval number programming (NINP) method. The NINP method is employed to transform each uncertain objective function into a deterministic single-objective optimization problem. Using the constraint penalty function method, a deterministic multi-objective and non-constraint optimization problem is formulated in terms of penalty functions. Then the micro multi-objective genetic algorithm and the intergeneration projection genetic algorithm are adopted as outer layer and inner optimization operator to solve the nesting optimization problem, respectively. Finally, four numerical examples are provided to demonstrate the effectiveness of the present method.