Forced Axisymmetric Nonlinear Vibrations of Reinforced Conical Shells

A numerical method for analysis of the axisymmetric nonlinear vibrations of conical shells is developed based on the integro-differential method of constructing difference schemes. A prediction analysis is conducted of the response of shells with various taper angles to an impulsive load     

Polling systems with multiple coupled servers

We consider polling systems with multiple coupled servers. We explore the class of systems that allow an exact analysis. For these systems we present distributional results for the waiting time, the marginal queue length, and the joint queue length at polling epochs. The class in question includes several single-queue systems with a varying number of servers, two-queue two-server systems with exhaustive service and exponential service times, as well as infinite-server systems with an arbitrary number of queues, exhaustive or gated service, and deterministic service times.     

On a Class of Multiple Integrals

A multiple integral encountered in the theory of Gauss--Markov processes is expressed in analytical form.     

Far-infrared absorption studies of Be acceptors in δ-doped GaAs/AlAs multiple quantum wells

We report a far-infrared absorption study of internal transitions of shallow Be acceptors in both bulk GaAs and a series of δ-doped GaAs/AlAs multiple quantum well samples with well thicknesses of 20, 15 and 10 nm. Low temperature far-infrared absorption measurements clearly show three principal absorption lines due to transitions of Beacceptor states from the ground state to the first three odd-parity excited states, respectively. Using a variational principle, the 2p-1s transition energies of quantum confined Be acceptors are calculated as a function of the well width. It is found that the theoretical calculation of the 2p_z → 1s transitions is in good agreement with the D-like line experimental data.     

有界随机噪声激励下一类非线性系统的共振与饱和现象

研究了二自由度非线性系统在有界随机噪声激励下,系统响应的共振与随机饱和现象。用多尺度法分离了系统的快变项,用线性化方法求出了系统响应幅值的一、二阶矩,并给出了系统优化设计的一些建议。数值模拟表明本文提出的方法是有效的。     

压弯杆件的动荷性能分析

研究了在轴向动力荷载作用下压弯构件的动力特征，根据压弯构件的动力平衡方程，导出了不同横向荷载形式下的振幅计算公式，分析了横向荷载对杆件动力性能的影响，根据理论研究成果提出了在实际工程中减小杆件振幅的一些措施．     

An axiomatic approach to noncompensatory sorting methods in MCDM,II: More than two categories

A number of recent papers have investigated the foundations of methods allowing to sort multi-attributed alternatives between several ordered categories. This paper has a similar objective. Our analysis uses a general conjoint measurement framework, encompassing most sorting models used in MDCM, that was proposed in the literature. Within this framework, we provide an axiomatic analysis of what we call noncompensatory sorting models, with or without veto effects. These noncompensatory sorting models contain the pessimistic version of ELECTRE TRI as a particular case. Our analysis can be seen as an attempt to give a firm axiomatic basis to ELECTRE TRI, while emphasizing its specific feature, i.e., the rather poor information that this model uses on each attribute.     

多重改良Logistic模型在磷酸电位滴定的离解平衡常数计算中的应用

基于磷酸电位滴定实验常用切线法、一阶微商法及二阶微商内插法等进行实验数据处理并计算磷酸离解平衡常数的烦琐与不准确性,提出一种与实验数据有高度吻合性的多重改良Logistic模型,应用优化求解得最佳函数表达式,解此函数一阶导数极大值点并计算得磷酸滴定半中和点,结合离解平衡常数校正公式最终得出了磷酸的离解平衡常数的各级pKa值,与文献结果相一致.另外,减少部分实验数据后应用模型处理并计算pKa值,所得结论仍具有一致性,从而提高了实验效率。     

Uniqueness for multiple trigonometric and Walsh series with convergent rearranged square partial sums

If at each point of a set of positive Lebesgue measure every rearrangement of a multiple trigonometric series square converges to a finite value, then that series is the Fourier series of a function to which it converges uniformly. If there is at least one point at which every rearrangement of a multiple Walsh series square converges to a finite value, then that series is the Walsh-Fourier series of a function to which it converges uniformly.

     

部分服务台同步多重休假的M/M/c/k排队及其优化

利用有限状态拟生灭过程和全概率分解的方法,首次研究了只允许部分服务台同步多重休假的M/M/e/k排队系统,得到了稳态队长和等待时间分布,并且讨论了系统的优化问题.