The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse isotropy.The FGMs are approximated with...The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse isotropy.The FGMs are approximated with n-layered materials.Each of the n-layered materials is homogeneous and transversely isotropic.The complete solutions of the displacement and stress fields are explicitly expressed in the forms of fifteen classical Hankel transform integrals with ten kernel functions.The ten kernel functions are explicitly expressed in the forms of backward transfer matrices and have clear mathematical properties.The singular terms of the complete solutions are analytically isolated and expressed in exact closed forms in terms of elementary harmonic functions.Numerical results show that the computation of the complete solutions can be achieved with high accuracy and efficiency.展开更多
The paper deals with a lossy transmission line terminated at both ends by non-linear RCL elements. The mixed problem for the hyperbolic system, describing the transmission line, to an initial value problem for a neutr...The paper deals with a lossy transmission line terminated at both ends by non-linear RCL elements. The mixed problem for the hyperbolic system, describing the transmission line, to an initial value problem for a neutral equation is reduced. Sufficient conditions for the existence and uniqueness of periodic regimes are formulated. The proof is based on the finding out of suitable operator whose fixed point is a periodic solution of the neutral equation. The method has a good rate of convergence of the successive approximations even for high frequencies.展开更多
This paper presents a sequential optimum algorithm for vehicle schedulingproblem, which includes obtaining initial theoretical solution, adjustingsolution, forming initial routes and adjustins routes. This method can ...This paper presents a sequential optimum algorithm for vehicle schedulingproblem, which includes obtaining initial theoretical solution, adjustingsolution, forming initial routes and adjustins routes. This method can beapplied to general transportation problems with multiple depots and multiplevehicle types on complex network. In comparison with manual scheduling ofChengdu Transportation Company II, the result shows that this method isreasonable, feasible and applicable.展开更多
主要研究了兼顾火电机组经济性与环保性的负荷优化分配算法,建立了考虑阀点效应的多目标负荷分配模型。应用自主编写的算法,获得了待决策的非支配解集合(Pareto front,PF),其中算法的核心操作是多目标融合、剔除同一层相近个体、保留不...主要研究了兼顾火电机组经济性与环保性的负荷优化分配算法,建立了考虑阀点效应的多目标负荷分配模型。应用自主编写的算法,获得了待决策的非支配解集合(Pareto front,PF),其中算法的核心操作是多目标融合、剔除同一层相近个体、保留不同层差异个体。给出了6台机组的负荷优化分配算例,仿真结果验证了模型的合理性,并表明方法可以进一步减少火电机组煤耗成本和污染物排放量。结合逼近理想解排序法(technique for order preference by similarity to an ideel solution,TOPSIS),讨论了不同目标权重下负荷分配方案的区别,证明了基于TOPSIS的多目标负荷分配方案的确定依赖于各自目标在决策中所占的重要程度。展开更多
基金Project supported by the National Natural Science Foundation of China(No.42207182)the Research Grants Council of the Hong Kong Special Administrative Region Government of China(Nos.HKU 17207518 and R5037-18)。
文摘The paper develops and examines the complete solutions for the elastic field induced by the point load vector in a general functionally graded material(FGM)model with transverse isotropy.The FGMs are approximated with n-layered materials.Each of the n-layered materials is homogeneous and transversely isotropic.The complete solutions of the displacement and stress fields are explicitly expressed in the forms of fifteen classical Hankel transform integrals with ten kernel functions.The ten kernel functions are explicitly expressed in the forms of backward transfer matrices and have clear mathematical properties.The singular terms of the complete solutions are analytically isolated and expressed in exact closed forms in terms of elementary harmonic functions.Numerical results show that the computation of the complete solutions can be achieved with high accuracy and efficiency.
文摘The paper deals with a lossy transmission line terminated at both ends by non-linear RCL elements. The mixed problem for the hyperbolic system, describing the transmission line, to an initial value problem for a neutral equation is reduced. Sufficient conditions for the existence and uniqueness of periodic regimes are formulated. The proof is based on the finding out of suitable operator whose fixed point is a periodic solution of the neutral equation. The method has a good rate of convergence of the successive approximations even for high frequencies.
文摘This paper presents a sequential optimum algorithm for vehicle schedulingproblem, which includes obtaining initial theoretical solution, adjustingsolution, forming initial routes and adjustins routes. This method can beapplied to general transportation problems with multiple depots and multiplevehicle types on complex network. In comparison with manual scheduling ofChengdu Transportation Company II, the result shows that this method isreasonable, feasible and applicable.
文摘主要研究了兼顾火电机组经济性与环保性的负荷优化分配算法,建立了考虑阀点效应的多目标负荷分配模型。应用自主编写的算法,获得了待决策的非支配解集合(Pareto front,PF),其中算法的核心操作是多目标融合、剔除同一层相近个体、保留不同层差异个体。给出了6台机组的负荷优化分配算例,仿真结果验证了模型的合理性,并表明方法可以进一步减少火电机组煤耗成本和污染物排放量。结合逼近理想解排序法(technique for order preference by similarity to an ideel solution,TOPSIS),讨论了不同目标权重下负荷分配方案的区别,证明了基于TOPSIS的多目标负荷分配方案的确定依赖于各自目标在决策中所占的重要程度。
