不確定理論在機械產品設計中的應用研究
發(fā)布時間：2019-02-26 11:55
【摘要】：隨著我國制造業(yè)水平的不斷提高,為提升機械產品競爭力的需要,產品的設計不僅要滿足產品的經濟性要求,產品成本盡量降低,而且必須滿足機械產品穩(wěn)健性和可靠性的要求,對機械產品的設計提出了新的要求。由于機械產品在設計過程中存在多種不確定性因素的影響,在未充分考慮多種不確定性因素的情況下,就會導致設計出的機械產品的穩(wěn)健性和可靠度大大降低,在實際工程中,機械產品的故障率將大大增加,造成的經濟損失將越來越大。因此,在機械產品設計中,為了提高機械產品的穩(wěn)健性和可靠度,滿足機械產品的質量要求和經濟性要求,將不確定性設計優(yōu)化理論引入機械產品設計中,將能滿足以上要求。 首先,查閱了大量關于不確定性理論在機械產品應用中的研究資料,對國內外關于不確定性理論的研究進行歸納,對不確定性理論相關概念進行歸納總結,系統(tǒng)研究不確定性理論中的不確定性建模方法、不確定性約束可靠性等效處理和不確定性分析方法,為解決門式起重機起升機構的不確定性設計優(yōu)化研究奠定基礎。 其次,針對設計目標建模的特點,結合均勻試驗設計的思想,提出基于均勻試驗設計的二次響應面方法。該方法通過均勻試驗設計減少試驗次數(shù),達到降低系統(tǒng)分析模型訓練樣本的計算成本,提高系統(tǒng)計算速度,加快模型收斂速度的目的。通過算例測試分析表明,上述改進近似建模方法在提高近似模型精度和加快二次響應面建模收斂方面可行有效。 再次,通過對并行子空間優(yōu)化過程和算法的歸納,提出基于二次響應面改進的并行子空間的不確定性優(yōu)化過程,將不確定性設計優(yōu)化集成于基于二次響應面的改進并行子空間不確定性優(yōu)化過程中,對設計變量和系統(tǒng)參數(shù)進行不確定性分析,在設計優(yōu)化過程中,考慮整體方案的穩(wěn)健性和可靠性,實現(xiàn)在可接受的計算代價下獲取滿足穩(wěn)健性和可靠性要求的最優(yōu)方案,然后通過算例測試表明該方法可行有效。 最后,以起重機起升機構的總體設計學科模型為基礎,以基于響應面的并行子空間不確定性為方法,對起重機起升機構總體方案進行不確定性設計優(yōu)化。建立起重機起升機構總體不確定性設計優(yōu)化模型,根據(jù)起重機起升機構的設計要求,對起升機構的總體進行不確定性優(yōu)化建模,對影響設計變量的參數(shù)進行約束設置,試驗結果表明同參數(shù)下可靠度和穩(wěn)健因素的并入提高了模型精度,使不確定性優(yōu)化結果更符合設計要求。 本文將不確定性理論應用于機械產品設計中,對提高機械產品的穩(wěn)健性和可靠性,降低機械產品在實際工程應用中故障率有一定的指導意義。
[Abstract]:With the continuous improvement of the manufacturing level in China, in order to improve the competitiveness of mechanical products, the design of products should not only meet the economic requirements of the products, but also reduce the cost of the products as much as possible. Moreover, it is necessary to meet the requirements of robustness and reliability of mechanical products, and put forward new requirements for the design of mechanical products. Because of the influence of many uncertain factors in the design process of mechanical products, the robustness and reliability of the designed mechanical products will be greatly reduced under the condition of not fully considering many uncertain factors, and in the actual engineering, the stability and reliability of the designed mechanical products will be greatly reduced. The failure rate of mechanical products will increase greatly and the economic losses will be more and more serious. Therefore, in the design of mechanical products, in order to improve the robustness and reliability of mechanical products and meet the quality and economic requirements of mechanical products, the uncertainty design optimization theory will be introduced into the design of mechanical products, which will meet the above requirements. First of all, a large number of research materials about uncertainty theory in mechanical product application are reviewed, and the research on uncertainty theory at home and abroad is summarized, and the related concepts of uncertainty theory are summarized. The uncertainty modeling method in uncertainty theory and the equivalent treatment and uncertainty analysis method of uncertainty constraint reliability are systematically studied, which lays a foundation for solving the uncertainty design optimization of gantry crane lifting mechanism. Secondly, according to the characteristics of design target modeling and the idea of uniform test design, a quadratic response surface method based on uniform test design is proposed. This method reduces the number of tests by uniform test design, reduces the calculation cost of training samples of the system analysis model, improves the calculation speed of the system, and accelerates the convergence speed of the model. The results of an example show that the improved approximate modeling method is feasible and effective in improving the accuracy of the approximate model and accelerating the convergence of the quadratic response surface modeling. Thirdly, through the induction of parallel subspace optimization process and algorithm, the uncertain optimization process of parallel subspace based on quadratic response surface improvement is proposed. The uncertainty design optimization is integrated into the improved parallel subspace uncertainty optimization process based on the quadratic response surface, and the uncertainty analysis of the design variables and system parameters is carried out. In the design optimization process, the uncertainty analysis of the design variables and system parameters is carried out. Considering the robustness and reliability of the whole scheme, the optimal scheme satisfying the requirements of robustness and reliability is obtained at an acceptable computational cost. Finally, an example is given to show that the method is feasible and effective. Finally, on the basis of the general design discipline model of crane lifting mechanism and the method of parallel subspace uncertainty based on response surface, the uncertain design optimization of the overall scheme of crane lifting mechanism is carried out. The optimization model of the overall uncertainty design of the crane lifting mechanism is established. According to the design requirements of the crane lifting mechanism, the overall uncertainty optimization modeling of the lifting mechanism is carried out, and the parameters affecting the design variables are set up. The experimental results show that the combination of reliability and robustness factors under the same parameters improves the accuracy of the model and makes the uncertain optimization results more in line with the design requirements. In this paper, the application of uncertainty theory to mechanical product design has certain guiding significance for improving the robustness and reliability of mechanical products and reducing the failure rate of mechanical products in practical engineering applications.
【學位授予單位】：西華大學
【學位級別】：碩士
【學位授予年份】：2011
【分類號】：TH122
本文編號：2430746
[Abstract]:With the continuous improvement of the manufacturing level in China, in order to improve the competitiveness of mechanical products, the design of products should not only meet the economic requirements of the products, but also reduce the cost of the products as much as possible. Moreover, it is necessary to meet the requirements of robustness and reliability of mechanical products, and put forward new requirements for the design of mechanical products. Because of the influence of many uncertain factors in the design process of mechanical products, the robustness and reliability of the designed mechanical products will be greatly reduced under the condition of not fully considering many uncertain factors, and in the actual engineering, the stability and reliability of the designed mechanical products will be greatly reduced. The failure rate of mechanical products will increase greatly and the economic losses will be more and more serious. Therefore, in the design of mechanical products, in order to improve the robustness and reliability of mechanical products and meet the quality and economic requirements of mechanical products, the uncertainty design optimization theory will be introduced into the design of mechanical products, which will meet the above requirements. First of all, a large number of research materials about uncertainty theory in mechanical product application are reviewed, and the research on uncertainty theory at home and abroad is summarized, and the related concepts of uncertainty theory are summarized. The uncertainty modeling method in uncertainty theory and the equivalent treatment and uncertainty analysis method of uncertainty constraint reliability are systematically studied, which lays a foundation for solving the uncertainty design optimization of gantry crane lifting mechanism. Secondly, according to the characteristics of design target modeling and the idea of uniform test design, a quadratic response surface method based on uniform test design is proposed. This method reduces the number of tests by uniform test design, reduces the calculation cost of training samples of the system analysis model, improves the calculation speed of the system, and accelerates the convergence speed of the model. The results of an example show that the improved approximate modeling method is feasible and effective in improving the accuracy of the approximate model and accelerating the convergence of the quadratic response surface modeling. Thirdly, through the induction of parallel subspace optimization process and algorithm, the uncertain optimization process of parallel subspace based on quadratic response surface improvement is proposed. The uncertainty design optimization is integrated into the improved parallel subspace uncertainty optimization process based on the quadratic response surface, and the uncertainty analysis of the design variables and system parameters is carried out. In the design optimization process, the uncertainty analysis of the design variables and system parameters is carried out. Considering the robustness and reliability of the whole scheme, the optimal scheme satisfying the requirements of robustness and reliability is obtained at an acceptable computational cost. Finally, an example is given to show that the method is feasible and effective. Finally, on the basis of the general design discipline model of crane lifting mechanism and the method of parallel subspace uncertainty based on response surface, the uncertain design optimization of the overall scheme of crane lifting mechanism is carried out. The optimization model of the overall uncertainty design of the crane lifting mechanism is established. According to the design requirements of the crane lifting mechanism, the overall uncertainty optimization modeling of the lifting mechanism is carried out, and the parameters affecting the design variables are set up. The experimental results show that the combination of reliability and robustness factors under the same parameters improves the accuracy of the model and makes the uncertain optimization results more in line with the design requirements. In this paper, the application of uncertainty theory to mechanical product design has certain guiding significance for improving the robustness and reliability of mechanical products and reducing the failure rate of mechanical products in practical engineering applications.
【學位授予單位】：西華大學
【學位級別】：碩士
【學位授予年份】：2011
【分類號】：TH122
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