In this paper we use a compromise approach to identify a lexicographic optimal solution of a multiple objective programming (MOP) problem. With this solution concept, we first find the maximization of each objection f...In this paper we use a compromise approach to identify a lexicographic optimal solution of a multiple objective programming (MOP) problem. With this solution concept, we first find the maximization of each objection function as the ideal value. Then, we construct a lexicographic order for the compromise (differences) between the ideal values and objective functions. Based on the usually lexicographic optimality structure, we discuss some theoretical properties about our approach and derive a constructing algorithm to compute such a lexicographic optimal solution.展开更多
针对多工况结构拓扑优化问题中的载荷病态现象,基于RAMP(Rational Approximation of Material Properties)拓扑优化模型,提出应用灰色理论确定工况权重系数,并将应变能目标函数归一化的折衷规划模型法.通过专家评价方法获得工况权重系...针对多工况结构拓扑优化问题中的载荷病态现象,基于RAMP(Rational Approximation of Material Properties)拓扑优化模型,提出应用灰色理论确定工况权重系数,并将应变能目标函数归一化的折衷规划模型法.通过专家评价方法获得工况权重系数的灰色区间,结合灰色理论计算工况权重系数灰色区间的精确值,并采用导重法推导出多工况结构拓扑优化问题的求解迭代表达式.通过定义载荷比描述载荷病态的程度,对多工况结构拓扑优化典型算例在不同载荷比及不同工况权重系数下进行结构拓扑优化分析.优化结果表明,灰色权重折衷规划模型及求解方法对多工况结构拓扑优化问题具有高效、稳定的特点,能够克服载荷病态问题,并通过大跨度甲板强横梁的结构拓扑优化设计证明本文设计方法的有效性.展开更多
A method for ranking complementary judgment matrixes with traspezoidal fuzzy numbers based on Hausdorff metric distance and fuzzy compromise decision approach is proposed. With regard to fuzzy number complementary jud...A method for ranking complementary judgment matrixes with traspezoidal fuzzy numbers based on Hausdorff metric distance and fuzzy compromise decision approach is proposed. With regard to fuzzy number complementary judgment matrixes given by a decider group whose members have various weights, the expert＇s information was aggregated first by means of simple weight average（SWA） method and Bonissone calculational method. Hence a matrix including all the experts＇ preference information was got. Then the matrix＇ column members were added up and the fuzzy evaluation values of the alternatives were got. Lastly, the Hausdorff metric distance and fuzzy compromise decision approach were used to rank the fuzzy evaluation values and then the ranking values of all the alternatives were got. Because exact numbers and triangular fuzzy numbers could all be transformed into trapezoidal fuzzy numbers, the method developed can rank complementary judgment matrixes with trapezoidal fuzzy numbers, triangular fuzzy numbers and exact numbers as well. An illustrative example is also given to verify the developed method and to demonstrate its feasibility and practicality.展开更多
对某装载机驾驶室及室内声腔进行建模得到声振耦合模型,通过SIMO法模态试验验证所建模型的准确性,测取悬置点激励力并进行频响分析及室内噪声预测。结合耦合模态频率和噪声曲线峰值频率确定关键优化频率,在驾驶室的最大扭矩工况下进行...对某装载机驾驶室及室内声腔进行建模得到声振耦合模型,通过SIMO法模态试验验证所建模型的准确性,测取悬置点激励力并进行频响分析及室内噪声预测。结合耦合模态频率和噪声曲线峰值频率确定关键优化频率,在驾驶室的最大扭矩工况下进行静力学分析,采用折衷规划法和平均频率法将驾驶室静态整体刚度和多阶关键频率归一为Euclidean距离的多目标函数,对驾驶室进行多目标形貌优化。结果表明:此优化方法在驾驶室结构优化上的应用综合提高了结构整体刚度和多阶关键固有频率,避免了单频优化时频率震荡现象,得到了优化目标的整体Pareto最优解,室内噪声总声压级降低了3.03 d B。展开更多
文摘In this paper we use a compromise approach to identify a lexicographic optimal solution of a multiple objective programming (MOP) problem. With this solution concept, we first find the maximization of each objection function as the ideal value. Then, we construct a lexicographic order for the compromise (differences) between the ideal values and objective functions. Based on the usually lexicographic optimality structure, we discuss some theoretical properties about our approach and derive a constructing algorithm to compute such a lexicographic optimal solution.
文摘针对多工况结构拓扑优化问题中的载荷病态现象,基于RAMP(Rational Approximation of Material Properties)拓扑优化模型,提出应用灰色理论确定工况权重系数,并将应变能目标函数归一化的折衷规划模型法.通过专家评价方法获得工况权重系数的灰色区间,结合灰色理论计算工况权重系数灰色区间的精确值,并采用导重法推导出多工况结构拓扑优化问题的求解迭代表达式.通过定义载荷比描述载荷病态的程度,对多工况结构拓扑优化典型算例在不同载荷比及不同工况权重系数下进行结构拓扑优化分析.优化结果表明,灰色权重折衷规划模型及求解方法对多工况结构拓扑优化问题具有高效、稳定的特点,能够克服载荷病态问题,并通过大跨度甲板强横梁的结构拓扑优化设计证明本文设计方法的有效性.
文摘A method for ranking complementary judgment matrixes with traspezoidal fuzzy numbers based on Hausdorff metric distance and fuzzy compromise decision approach is proposed. With regard to fuzzy number complementary judgment matrixes given by a decider group whose members have various weights, the expert＇s information was aggregated first by means of simple weight average（SWA） method and Bonissone calculational method. Hence a matrix including all the experts＇ preference information was got. Then the matrix＇ column members were added up and the fuzzy evaluation values of the alternatives were got. Lastly, the Hausdorff metric distance and fuzzy compromise decision approach were used to rank the fuzzy evaluation values and then the ranking values of all the alternatives were got. Because exact numbers and triangular fuzzy numbers could all be transformed into trapezoidal fuzzy numbers, the method developed can rank complementary judgment matrixes with trapezoidal fuzzy numbers, triangular fuzzy numbers and exact numbers as well. An illustrative example is also given to verify the developed method and to demonstrate its feasibility and practicality.
文摘对某装载机驾驶室及室内声腔进行建模得到声振耦合模型,通过SIMO法模态试验验证所建模型的准确性,测取悬置点激励力并进行频响分析及室内噪声预测。结合耦合模态频率和噪声曲线峰值频率确定关键优化频率,在驾驶室的最大扭矩工况下进行静力学分析,采用折衷规划法和平均频率法将驾驶室静态整体刚度和多阶关键频率归一为Euclidean距离的多目标函数,对驾驶室进行多目标形貌优化。结果表明:此优化方法在驾驶室结构优化上的应用综合提高了结构整体刚度和多阶关键固有频率,避免了单频优化时频率震荡现象,得到了优化目标的整体Pareto最优解,室内噪声总声压级降低了3.03 d B。
