Download Evolutionary Structural Optimization by Y. M. Xie, G. P. Steven (auth.) PDF

By Y. M. Xie, G. P. Steven (auth.)

Evolutionary Structural Optimization (ESO) is a layout approach in response to the easy proposal of progressively elimination inefficient fabric from a constitution because it is being designed. via this system, the ensuing constitution will evolve in the direction of its optimal form. the most recent thoughts and result of ESO are offered right here, illustrated via a number of transparent and distinct examples. Sections conceal the elemental features of the tactic, the appliance to a number of load circumstances and a number of aid environments, frequency optimization, stiffness and displacement constraints, buckling, jointed body buildings, form optimization, and rigidity aid. this can be through a bit describing Evolve97, a software program package deal with a purpose to let readers to aim the tips of ESO themselves and to unravel their optimization difficulties. This software program is equipped on a working laptop or computer diskette which accompanies the book.

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Extra info for Evolutionary Structural Optimization

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001 m. lm. 3 are used. The structure is assumed to be design domain p Fig. 3. Design domain for a Michell type structure. 46 Evolutionary Structural Optimization under plane stress conditions. 87 mm. Due to symmetry, only the top half of the model is analyzed using 11 0 x 40 four node elements. The circular support is represented by fIxing the nodes closest to the circle. Elements within the circle are not considered in the solution process. A displacement constraint is imposed on the vertical displacement at the loaded point.

B) RR= 10% ..................... ....... ........ ...... ....... .. (c) RR= 15% Fig. S. ESO solutions for a Michell type structure with two fixed supports. 0 ~ :.. '''''' o 1 2 3 4 5 8 7 8 9 10 11 12 13 14 15 Rejection Ratio RR (%) Fig. 9. Evolution histories of von Mises stress for a Michell type structure with two fixed supports. J o 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Rejection Ratio RR (%) Fig.

2 ESO for Multiple Load Cases The fmite element analysis for a structure with multiple load cases is not much more expensive than a single load case, because the global stiffness matrix needs only to be decomposed once for each given mesh, no matter how many different load cases are set up for the model. The simple ESO procedure presented in Chapter 2 can be easily extended to the optimal design of structures with multiple load cases. After the fmite element analysis, a stress distribution is obtained for each load case.

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