scholarly journals Design sensitivity and shape optimization of geometrical nonlinear structure

2008 ◽  
Vol 9 (1) ◽  
pp. 17-23 ◽  
Author(s):  
Said Abid ◽  
Abdessalem Jarraya ◽  
Fakhreddine Dammak ◽  
Mohamed Haddar
1985 ◽  
Vol 107 (3) ◽  
pp. 334-339 ◽  
Author(s):  
R. J. Yang ◽  
K. K. Choi ◽  
E. J. Haug

A unified design sensitivity analysis theory and a linearization method of optimization are employed for structural component shape optimization. A material derivative method for shape design sensitivity analysis, using the variational formulation of the equations of elasticity and the finite element method for numerical analysis, is used to calculate derivatives of stress and other structural response measures with respect to boundary shape. Alternate methods of boundary shape parameterization are investigated, through solution of two test problems that have been treated previously by other methods: a fillet and a torque arm. Numerical experiments with these examples and a variety of finite element models show that component shape optimization requires careful selection of boundary parameterization, finite element model, and finite element grid refinement techniques.


Biomaterials ◽  
2015 ◽  
Vol 57 ◽  
pp. 59-72 ◽  
Author(s):  
Xiangyou Luo ◽  
Bo Yang ◽  
Lei Sheng ◽  
Jinlong Chen ◽  
Hui Li ◽  
...  

2007 ◽  
Vol 43 (4) ◽  
pp. 1653-1656 ◽  
Author(s):  
Pan Seok Shin ◽  
Han-Deul Kim ◽  
Gyo-Bum Chung ◽  
Hee Sung Yoon ◽  
Gwan-Soo Park ◽  
...  

Author(s):  
Tsu-Chien Cheu

Two procedures, the feasible direction method and sequential linear programming, for shape optimization of gas turbine disks are presented in this paper. The objective of these procedures is to obtain optimal designs of turbine disks with geometric and stress constraints. The coordinates of the selected points on the disk contours are used as the design variables. Structural weight, stress and their derivatives with respect to the design variables are calculated by an efficient finite element method for design sensitivity analysis. Numerical examples of the optimal designs of a disk subjected to thermo-mechanical loadings are presented to illustrate and compare the effectiveness of these two procedures.


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