中英
1
- 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
首先以一種簡單實用的輪齒邊緣切矢量的數(shù)學表示方法取代了經(jīng)典的微分表達式，大大簡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現(xiàn)；其次又采用數(shù)值搜索與數(shù)學規(guī)劃法求解了邊緣接觸的主方向和承載接觸問題，為高重合度弧齒錐齒輪承載嚙合全過程的數(shù)值仿真提供了完整的方法。 - In upper level optimization , the thickness and geometry factors of composite skins and webs as well as other structural dimensions are taken as design variables . then , considering the behavior constraints and the side constraints , the structural mass is minimized by the mathematical programming technique . in lower level optimization , the mathematical programming technique or the genetic algorithm ( ga ) is used to search the practical stacking sequence of composite skins and webs to realize the given thickness and geometry factors from upper level optimization
底層優(yōu)化設(shè)西北工業(yè)大學博士學位論文計以復(fù)合材料蒙皮和腹板等層合板各分層的厚度(或鋪層數(shù)) 、鋪層角和鋪層順序為設(shè)計變量，以層合板的幾何因子與頂層優(yōu)化設(shè)計給出的最優(yōu)幾何因子之間的誤差最小為目標，考慮層合板厚度和制造工藝性約束，采用數(shù)學規(guī)劃方法或遺傳算法( geneticalgorithm ，簡稱ga )求出底層最優(yōu)設(shè)計變量。 - Based on consider hereinbefore , this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows : ( 1 ) reviewed entirely the origin and evolvement of the concept " sustainable development " , stated and commented the study status in queue on " sustainable development " around national and international range , thorough discussed the science connotation about the concept " sustainable development " ; ( 2 ) looked back and commented across - the aboard some furthest basic concept and proposition related to groundwater resources , put forward self opinions on a few existent mistake points of view and chaos understandings ; ( 3 ) expatiated entirely on the content and meaning of the theory of changeable groundwater resources system , contrast with the traditional methods of groundwater resources calculation and evaluation , combined example to show the application of this theory ; ( 4 ) thorough analyzed the difficult and complexity to forecast the groundwater resources , fully stated the traditional methods of groundwater resources forecasting , pointed out the characteristic and applying condition of these forecasting method , introduced the main ideas and methods of wavelet analysis developed recently , and the matlab software be known as the fifths era computer language , and its accessory wavelet analysis toolbox , applied these methods and tools to analyze the groundwater dynamic curve , adopted the b - j method and morte - carlo method , combined with the theory of changeable groundwater resources system , discussed the new view on the forecast of groundwater resources ; ( 5 ) synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model , combined mathematical programming mathematical statistics random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater , emphasized how to make the model more nicety , more simple , more practicality ; ( 6 ) analyzed the inside condition and outside condition to assure the sustainable and optimum exploi tation of groundwater resources , the inside conditions are the follows : correct resources idea , scientific methods of resources calculation and evaluation , credible forecast methods of resources , exercisable measures of resources management , the outside conditions are the follows : the development idea of high layer , the transform of manage system , the matched policy and rule of law , the adjusted of economy lever , the improve of cultural diathesis , the boosting up of water - saving consciousness and detail measures , the control of population rising , the prevention and cure of water pollute , the renew and rebuild of ecology ; ( 7 ) scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy , earth system science , and philosophy ; lint out the more directions on groundwater resources
基于以上考慮，論文主要從以下幾方面對地下水資源可持續(xù)開發(fā)問題進行了比較深入的探討：全面回顧了“可持續(xù)發(fā)展”概念的由來與演變，對國內(nèi)外“可持續(xù)發(fā)展”的研究現(xiàn)狀進行了述評，并對“可持續(xù)發(fā)展”概念的科學內(nèi)涵進行了深入探討；對涉及地下水資源的一些最基本的概念和命題進行了全面的回顧和評述，對目前仍然存在的一些錯誤觀點和混亂認識提出了自己的見解；全面闡述了地下水資源變值系統(tǒng)理論的內(nèi)容和意義，并與傳統(tǒng)的地下水資源計算評價方法進行了對比分析，結(jié)合實例具體說明了方法的應(yīng)用；深入分析了地下水資源預(yù)測預(yù)報工作的極端重要性和復(fù)雜性，對傳統(tǒng)的地下水資源動態(tài)預(yù)測方法進行了全面的評述，指出了各類預(yù)測預(yù)報方法的特點及適用條件，對最近二十多年剛發(fā)展起來的小波分析技術(shù)的主要思想和方法及其應(yīng)用范圍，以及號稱第五代計算機語言的matlab軟件和附帶的小波分析工具箱進行了介紹，并應(yīng)用于地下水動態(tài)過程線的分析，采用時間序列中的b ? j法，蒙特卡羅方法，與地下水資源變值系統(tǒng)理論相結(jié)合，探討了地下水動態(tài)資料分析和地下水資源預(yù)測預(yù)報的新思路；綜合分析了現(xiàn)今各類地下水管理模型的特點及缺陷，將數(shù)學規(guī)劃、數(shù)理統(tǒng)計、隨機過程等與地下水變值系統(tǒng)理論相結(jié)合進行地表水地下水或多水源的聯(lián)合優(yōu)化調(diào)度，使模型更準確、更實用；對保證地下水資源可持續(xù)開發(fā)的內(nèi)部條件和外部條件進行了分析，內(nèi)部河海人學博卜學位論文前言、摘要、目錄條件主要是正確的資源觀，科學的資源計算與評價方法，可靠的資源預(yù)測預(yù)報技術(shù)，可操作的資源管理措施，外部條件主要是高層發(fā)展思路、管理體制的變革、配套的政策法規(guī)、經(jīng)濟杠桿的調(diào)節(jié)、人文素質(zhì)的提高、節(jié)水意識的增強及具體節(jié)水措施、人口增長的控制、水體污染的防治、生態(tài)的恢復(fù)和重建等;從宇宙科學、地球系統(tǒng)科學及哲學的高度審視地下水資源的可持續(xù)開發(fā);指出了地下水資源可持續(xù)開發(fā)的進一步研究方向。 - The problem has been studied from two sides , firstly , from the viewpoint of applicability , based on the development strategic objectives of the oil company , with the aim to unify the exploration and extraction decisions of the resources in an integrated framework , and integrate the macro economic and technical objectives with micro economic and technical models of an oil well , an integrated non - linear dynamic optimal control model has been constructed , the objective is the benefit maximum of the exploration and extraction of the resources , and the optimal strategies are obtained by changing the problem into a non - linear mathematical programming problem , on the other hand , from the more macro level , based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources , a conclusion is easily deduced that the procedure is full of randomicity , then discovering procedure of oil deposit is proved to be a poisson process , and the reserves process is a supermartingale process , so the model of exploration discovery rate and the reserves model could be constructed
本文從兩個側(cè)面對此問題進行了研究，首先從實用性出發(fā)，以公司層次的戰(zhàn)略性規(guī)劃目標為基礎(chǔ)，將勘探階段與開發(fā)階段的工程技術(shù)及經(jīng)濟方面的決策整合在一個模型框架內(nèi)，同時將宏觀層次的經(jīng)濟技術(shù)目標與單個油氣井生產(chǎn)的微觀技術(shù)經(jīng)濟模型相結(jié)合，以油氣資源勘探與開發(fā)的經(jīng)營效益最大化為目標，建立了一個非線性確定型綜合動態(tài)優(yōu)化模型，通過將原非線性最優(yōu)控制問題轉(zhuǎn)化為一非線性數(shù)學規(guī)劃問題進行了求解。其次從相對更宏觀的層次上，通過對油氣資源勘探與開發(fā)的特點分析，認為具有很強的隨機性，證明了勘探活動發(fā)現(xiàn)油氣藏的過程為一泊松過程，所發(fā)現(xiàn)的油氣藏儲量為一上鞅過程，在此基礎(chǔ)上，建立了油氣藏勘探發(fā)現(xiàn)率模型及儲量模型，在油氣價格服從幾何布朗運動條件下，以油氣開采收益最大化為目標，建立了一個油氣資源勘探與開發(fā)的隨機最優(yōu)控制模型，采用動態(tài)規(guī)劃方法得到了值函數(shù)的hjb方程，并針對方程的特點，以及方程及其變量所對應(yīng)的經(jīng)濟學意義，對最優(yōu)策略的求解進行了一些討論。 - Normally , we try to get the dual form of mathematical programming to change primary programming , which is difficult to be solved into its dual programming , which is easily to be solved . after we had got the dual form of two programming , we found their form were very simply because they had only nonnegative and linear constraints
通常，我們求出規(guī)劃問題的對偶形式是希望將不易求解的原問題轉(zhuǎn)化為易于求解的對偶問題，在分別得到這兩類問題的對偶形式后，發(fā)現(xiàn)其形式簡單，只帶有非負約束和線性約束。 - This paper applicates the mathematical programming and presents the model of containership optimization , and develops computer procedure of containership prestowage . it discusses the principle and implementation method of the optimize model , including following : the process of containership stowage ; introducing of the blocks ; a strategic planning process and a tactical planning process of containership prestowage ; computing principle and method of buoyancy , stability and strengh , besides checking principle of them
本文引入數(shù)學規(guī)劃的方法，建立了集裝箱船預(yù)配的優(yōu)化數(shù)學模型，開發(fā)了集裝箱船預(yù)配計算程序。文章詳細介紹了該優(yōu)化模型的原理和實現(xiàn)方法，主要內(nèi)容包括：集裝箱船的配載過程，裝載單元塊的提出和劃分，集裝箱船戰(zhàn)略配載和戰(zhàn)術(shù)配載，船舶性能計算與校核。 - 2 . chapter 3 applied the results obtained in chapter 2 to estimate to solution - set of a parametric mathematical programming . results about stability of a parametric linear programming and estimate to bound of solution - set of a parametric linear programming is established ; under the assumptions in this chapter , results obtained is more sharper than ones obtained in last
在第3章中，將第2章的結(jié)果應(yīng)用到參數(shù)規(guī)劃的解集的估計，得到了參數(shù)線性規(guī)劃和參數(shù)二次規(guī)劃的穩(wěn)定性結(jié)果，同時也給出參數(shù)線性規(guī)劃的解集的界的估計，在相同的假設(shè)條件下得到的結(jié)果比目前已有的結(jié)果好(即，更sharper ) 。 - 2 . for the problem with size , stress and displacement constraints , the stress constraint is transformed into movable lower bounds of sizes , the displacement constraint is transformed into an approximate function which explicitly includes design variables by using mohr integral theory . a mathematical programming model of the optimization problem is set up . the dual programming of the model is approached into a quadratic programming model
2 .對于尺寸、應(yīng)力和位移約束的問題，將應(yīng)力約束化為動態(tài)下限，用單位虛荷載方法將位移約束近似顯式化，構(gòu)造優(yōu)化問題的數(shù)學規(guī)劃模型，將其對偶規(guī)劃處理為二次規(guī)劃問題，采用lemke算法進行求解，得到滿足尺寸、應(yīng)力和位移約束條件的截面最優(yōu)解。
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