The mathematical programming methods , both the method of moving asymptotes ( mma ) belonging to convex programming methods and the sequential linear programming method ( slp ) , were used to solving optimization problems 用移動(dòng)漸進(jìn)線方法( mma )求解單目標(biāo)優(yōu)化問(wèn)題,用序列線性規(guī)劃方法( slp )求解模糊目標(biāo)混合規(guī)劃問(wèn)題。
It is shown that these four types of single machine scheduling problems can be modeled as an assignment problem by mathematical programming method , thus these four types of problems can be solved in polynomial time 用數(shù)學(xué)規(guī)劃的方法證明了四類多準(zhǔn)則下的單機(jī)排序問(wèn)題可以轉(zhuǎn)化為指派問(wèn)題,從而這四類問(wèn)題都多項(xiàng)式時(shí)間可解。
The status of the research for non - entirety analysis of arch dam and joint models commonly used were reviewed . the fem analysis for contact problem , i . e . , iterative method , contact constraints method and mathematical programming method , were summarized . 2 評(píng)述了拱壩結(jié)構(gòu)非整體性分析研究的現(xiàn)狀以及拱壩結(jié)構(gòu)分析中常用的接縫模型;進(jìn)一步從直接迭代法、接觸約束法和數(shù)學(xué)規(guī)劃法三個(gè)方面綜述了基于有限單元法的接觸問(wèn)題分析方法。
Firstly , a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula , the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize . secondly , using numerical searching and mathematical programming method solves the contact directions and loaded contact problem . finally , whole numerical simulation method is provided for loaded tooth contact analysis of high contact ratio spiral bevel gears 首先以一種簡(jiǎn)單實(shí)用的輪齒邊緣切矢量的數(shù)學(xué)表示方法取代了經(jīng)典的微分表達(dá)式,大大簡(jiǎn)化了幾何邊緣接觸的求解,使復(fù)雜曲面的幾何邊緣接觸分析得以實(shí)現(xiàn);其次又采用數(shù)值搜索與數(shù)學(xué)規(guī)劃法求解了邊緣接觸的主方向和承載接觸問(wèn)題,為高重合度弧齒錐齒輪承載嚙合全過(guò)程的數(shù)值仿真提供了完整的方法。