Accelerating convergence of a globalized sequential quadratic programming method to critical Lagrange multipliers

2021 ◽  
Author(s):  
A. F. Izmailov
Keyword(s):  
Quadratic Programming ◽  
Lagrange Multipliers ◽  
Sequential Quadratic Programming ◽  
Programming Method ◽  
Sequential Quadratic Programming Method ◽  
Quadratic Programming Method ◽  
Critical Lagrange Multipliers

Shape Optimization for Arch Dam with Sequential Quadratic Programming Method

2014 ◽  
Vol 580-583 ◽  
pp. 1961-1965 ◽  
Author(s):  
Yin Duan ◽  
Wei Yuan ◽  
Hui Bo Liu
Keyword(s):  
Quadratic Programming ◽  
Shape Optimization ◽  
Sequential Quadratic Programming ◽  
Optimization Design ◽  
Equivalent Stress ◽  
Arch Dam ◽  
Programming Method ◽  
Stress Computation ◽  
Sequential Quadratic Programming Method ◽  
Quadratic Programming Method

The sequential quadratic programming method is introduced in arch dam shape optimization design. In the optimization computation, the arch dam volume is taken as objective function, and the calculation is realized by automatically considering loading process, equivalent stress computation and simulation of shape optimization for arch dam based on FEM. A parabola arch dam is used as a numerical example. The result shows that the optimized figure is much safer and more practical, which indicates that the SQP method is an effective way for optimization design of arch dam shape.

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