本文選題：多參數(shù)非線性系統(tǒng) + 代理模型　； 參考：《湖南大學》2014年碩士論文

【摘要】：本文的研究來源于國家自然科學基金項目(51275164)“基于全局敏感性分析和擬合基函數(shù)代理模型的汽車碰撞人體損傷穩(wěn)健優(yōu)化”。 多參數(shù)非線性系統(tǒng)具有兩個顯著的特征一是參數(shù)眾多，二是參數(shù)之間存在著強烈的交互效應，一個參數(shù)微小變動便可能使系統(tǒng)的輸出結(jié)果產(chǎn)生很大的變化。多參數(shù)非線性系統(tǒng)的優(yōu)化設(shè)計不僅計算工作量大，而且難以獲得理論上的最優(yōu)解。因此具有較高計算效率的代理模型技術(shù)和能夠篩選重要參數(shù)的全局敏感性分析已成為多參數(shù)非線性系統(tǒng)的重點研究內(nèi)容。 本文在前人研究工作的基礎(chǔ)上，進一步研究了全局敏感性分析和代理模型技術(shù)，，并應用于汽車乘員約束系統(tǒng)的概念優(yōu)化設(shè)計中。本文的主要研究內(nèi)容和成果如下： (1)通過代理模型的精度、效率和特征擬合三個方面，分別比較響應面模型、Kriging代理模型和徑向基函數(shù)模型對不同設(shè)計變量個數(shù)和非線性程度高低的擬合能力。 (2)本文通過采用基于代理模型的全局敏感性分析方法，研究每個參數(shù)的重要程度，得到每個參數(shù)的主效應圖。并通過四維非線性函數(shù)的測試算例說明了全局敏感性分析的計算原理與分析方法，驗證了基于代理模型的全局敏感性分析的有效性。 (3)傳統(tǒng)代理模型在擬合設(shè)計空間較大和設(shè)計變量較多的情況時，整個設(shè)計空間的局部精度不能完全得到保證且空間縮減方法容易誤刪全局最優(yōu)解，針對這一問題，基于全局敏感性分析的主效應圖信息，提出了設(shè)計空間自適應調(diào)整的動態(tài)代理模型優(yōu)化策略。通過算例函數(shù)和一個減速器的優(yōu)化設(shè)計實例，驗證了本文優(yōu)化策略的優(yōu)越性。 (4)通過MADYMO軟件，建立正面碰撞乘員約束系統(tǒng)的仿真模型，確定系統(tǒng)設(shè)計參數(shù)，通過對設(shè)計參數(shù)進行全局敏感性分析，得到敏感性強的重要參數(shù)。將本文提出的基于全局敏感性分析的設(shè)計空間自適應調(diào)整的動態(tài)代理模型優(yōu)化策略應用到乘員約束系統(tǒng)重要參數(shù)的優(yōu)化設(shè)計中，優(yōu)化結(jié)果表明，乘員傷害值得到了明顯的降低，該優(yōu)化策略對提高汽車乘員約束系統(tǒng)的安全性具有明顯的效果，在正面碰撞的汽車乘員約束系統(tǒng)的概念設(shè)計具有很好的參考和借鑒作用。
[Abstract]:The research of this paper comes from the National Natural Science Foundation of China 51275164) "robust optimization of human body damage in automobile collision based on global sensitivity analysis and fitting basis function agent model". There are two remarkable characteristics of multiparameter nonlinear system: one is that there are many parameters, the other is that there is a strong interaction effect between parameters. A small change of parameters may cause great changes in the output results of the system. The optimal design of multi-parameter nonlinear systems is difficult to obtain the theoretical optimal solution. Therefore, the agent model technology with high computational efficiency and the global sensitivity analysis, which can screen important parameters, have become the focus of research in multi-parameter nonlinear systems. Based on the previous research work, this paper further studies the global sensitivity analysis and agent model technology, and applies it to the conceptual optimization design of the vehicle occupant constraint system. The main contents and achievements of this paper are as follows: 1) through the accuracy, efficiency and feature fitting of the agent model, the ability of the response surface model and the radial basis function model to fit the number of different design variables and the degree of nonlinearity are compared respectively. In this paper, the importance of each parameter is studied by using a global sensitivity analysis method based on agent model, and the main effect graph of each parameter is obtained. The calculation principle and analysis method of global sensitivity analysis are illustrated by a test example of four-dimensional nonlinear function, and the validity of global sensitivity analysis based on agent model is verified. 3) when the traditional agent model has large design space and more design variables, the local precision of the whole design space can not be completely guaranteed and the space reduction method is prone to delete the global optimal solution by mistake. Based on the main effect graph information of global sensitivity analysis, a dynamic agent model optimization strategy with adaptive spatial adjustment is proposed. The superiority of the optimization strategy is verified by an example function and an example of optimal design of the reducer. 4) through MADYMO software, the simulation model of frontal collision occupant constraint system is established, and the design parameters are determined. By analyzing the global sensitivity of the design parameters, the important parameters with strong sensitivity are obtained. The dynamic agent model optimization strategy based on global sensitivity analysis is applied to the optimization of the important parameters of the occupant constraint system. The optimization results show that the damage value of the occupants is significantly reduced. The optimization strategy has obvious effect on improving the safety of the vehicle occupant restraint system, and it has a good reference and reference function for the conceptual design of the vehicle occupant restraint system in the frontal impact.
【學位授予單位】：湖南大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：U491.61

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