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Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (5): 417-430.

• 论文 • 上一篇    下一篇

NEW SOLUTIONS OF NOVOZHILOV'S EQUATION OF TOROIDAL SHELLS

董明德   

  1. Institute of Theoretical Physics, Academia Sinica, Beijing
  • 收稿日期:1984-08-04 出版日期:1985-05-18 发布日期:1985-05-18

NEW SOLUTIONS OF NOVOZHILOV'S EQUATION OF TOROIDAL SHELLS

Dong Ming-de   

  1. Institute of Theoretical Physics, Academia Sinica, Beijing
  • Received:1984-08-04 Online:1985-05-18 Published:1985-05-18

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摘要： New solutions are obtained for Novozhilov’s equation of toreidal shells having general slenderness ratio 0<a<1 (a=a/R). In contrast to the results by continued fractiontechnique, the exponents and expansion coefficients of our series solutions are all closed and explicit. The series satisfies shell equation identically. Convergence proof is also demonstrated.Explicit expressions for boundary effect and monodromy indices are also given. Finally, we discuss the possibility of applying the present method to solve the fundamental system of equations for elastic shells with rotational symmetry.

关键词: multi-objective optimization, Pareto-optimal solution, wind turbine, nondominated sorting genetic algorithm (NSGA)-II

Abstract: New solutions are obtained for Novozhilov’s equation of toreidal shells having general slenderness ratio 0<a<1 (a=a/R). In contrast to the results by continued fractiontechnique, the exponents and expansion coefficients of our series solutions are all closed and explicit. The series satisfies shell equation identically. Convergence proof is also demonstrated.Explicit expressions for boundary effect and monodromy indices are also given. Finally, we discuss the possibility of applying the present method to solve the fundamental system of equations for elastic shells with rotational symmetry.

Key words: multi-objective optimization, wind turbine, Pareto-optimal solution, nondominated sorting genetic algorithm (NSGA)-II

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