The optimal model of truss structure is established , in which the cross sectional areas of bar are taken as design variables , the structure weight is taken as objective function . in the process , the reliability of structural displacement and bar stress and the fundamental frequency are taken as constraint functions . from the engineering practice , all the reliability constraints , which are implicit generally with the design variables , are equalized and transferred to the conventional explicit constraints 本文將主要考慮桁架結(jié)構(gòu)的優(yōu)化問題,首先建立數(shù)學(xué)模型,即以桁架的橫截面積為設(shè)計(jì)變量、以重量最小為優(yōu)化目標(biāo),位移、應(yīng)力等可靠性及基頻為約束條件;最后,從工程實(shí)際出發(fā),對(duì)結(jié)構(gòu)系統(tǒng)的可靠性隱形約束進(jìn)行等價(jià)顯化處理,使之轉(zhuǎn)化為常規(guī)的橫截面積優(yōu)化問題。
For problems whose objective function or constraint functions have sharp curves on their contour maps ( such as the rosenbrock ' s function which has banana shape contours ) , monotonicity may cause a series of very small steps , causing a huge number of iteration to reach their solutions . by using the nonmonotone technique , we get the sequence of successful interative point which should make the objective function mono - tonically decreasing . hence , we use both trust region strategy and line search technique and make each iterate generate an acceptable trial step in interior feasible set as next interative point 我們利用非單調(diào)技術(shù)得到使目標(biāo)函數(shù)非單調(diào)下降的迭代點(diǎn),因?yàn)榉菃握{(diào)克服高度非線性化函數(shù)的求解問題,從而避免了只使用單調(diào)搜索在“峽谷”現(xiàn)象局部最優(yōu)解被卡的情況,我們用信賴域策略和非單調(diào)線搜索技術(shù)相結(jié)合的方法,使算法產(chǎn)生的迭代步落在可行域內(nèi)點(diǎn),同時(shí)又在信賴域內(nèi)滿足接受準(zhǔn)則。