scholarly journals Optimal design of structures with multiple natural frequency constraints using a hybridized BB-BC/Quasi-Newton algorithm

2013 ◽  
Vol 57 (1) ◽  
pp. 27 ◽  
Author(s):  
Ali Kaveh ◽  
Vahid Reza Mahdavi
Keyword(s):  
Optimal Design ◽  
Natural Frequency ◽  
Frequency Constraints ◽  
Newton Algorithm ◽  
Quasi Newton

Optimal Design of a Scroll Case with Natural Frequency Constraints

2011 ◽  
Vol 94-96 ◽  
pp. 1719-1722
Author(s):  
Xin Li Bai ◽  
Gui Rong Liu ◽  
Song An Zhang
Keyword(s):  
Optimal Design ◽  
Natural Frequency ◽  
Analytical Method ◽  
Mass Matrix ◽  
Program System ◽  
Structural Dynamic ◽  
Frequency Constraints ◽  
Frequency Sensitivity ◽  
Scroll Case ◽  
Calculation Results

In this paper, sensitivity formula with analytical method is derived for calculating structural natural frequency, and the partial derivative of plate element stiffness matrix and mass matrix with respect to design variables are gained respectively. Computer programs for computing frequency sensitivity with analytical method are developed. And combining it with large finite element structural analysis software ADINA, the optimal design software based on genetic algorithms, a structural dynamic optimization program system is constituted for computing structural natural frequency sensitivity with analytical method. Finally, the program system is applied to the optimal design of a turbine scroll case of a hydropower station (taking into account the natural frequency constraints). Calculation results show that analytical method presented in the paper is of higher computational precision, good stability, convenient to use, and can be popularized. Calculation results obtained the approval of client and used in real engineering.

scholarly journals A new quasi-Newton algorithm

1988 ◽  
Vol 1 (1) ◽  
pp. 101-104 ◽  
Author(s):  
Yin Zhang ◽  
R.P. Tewarson
Keyword(s):  
Newton Algorithm ◽  
Quasi Newton

An adaptive quasi-Newton algorithm for eigensubspace estimation

2000 ◽  
Vol 48 (12) ◽  
pp. 3328-3333 ◽  
Author(s):  
V.P. Roychowdhury ◽  
C. Chatterjee ◽  
Zhengjiu Kang
Keyword(s):  
Newton Algorithm ◽  
Quasi Newton
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