Optimal design of geometrically nonlinear shells of revolution with using the mixed finite element method

2017 International Conference on Sensors, Materials and Manufacturing

工业技术;材料科学;机械制造

Stupishin, L.U.^1 ; Nikitin, K.E.^1 ; Kolesnikov, A.G.^1

Urban Road Construction and Structural Mechanic Department, South-West State University (SWSU), Kursk

305040, Russia^1

关键词: Geometrically nonlinear;    Mixed finite element formulation;    Mixed finite element methods;    Optimization algorithms;    Shells of revolution;    Stress strain state;    Thickness distributions;    Unconstrained minimization;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/311/1/012007/pdf
DOI  :  10.1088/1757-899X/311/1/012007

来源: IOP

【 摘 要 】

The article is concerned with a methodology of optimal design of geometrically nonlinear (flexible) shells of revolution of minimum weight with strength, stability and strain constraints. The problem of optimal design with constraints is reduced to the problem of unconstrained minimization using the penalty functions method. Stress-strain state of shell is determined within the geometrically nonlinear deformation theory. A special feature of the methodology is the use of a mixed finite-element formulation based on the Galerkin method. Test problems for determining the optimal form and thickness distribution of a shell of minimum weight are considered. The validity of the results obtained using the developed methodology is analyzed, and the efficiency of various optimization algorithms is compared to solve the set problem. The developed methodology has demonstrated the possibility and accuracy of finding the optimal solution.