Deformation of laminated anisotropic bars in the three-dimensional statement 1. Transverse-longitudinal bending and edge compatibility condition

By using the methods of asymptotic splitting, the 3D problem on the transverse-longitudinal bending of elastic anisotropic laminated bars under the action of longitudinal and transverse loads is split into a number of plane boundary-value problems, whose solution allows one to construct asymptotic approximations for all components of the displacement vector and the strain tensor at each point in the bars. A system of ordinary differential equations of transverse-longitudinal bending is obtained for laminated bars with arbitrary anisotropy of its layers. A condition for the edge compatibility of materials in laminated orthotropic bars is deduced. Translated from Mekhanika Kompozitnykh Materialov, Vol. 45, No. 3, pp. 379-410, May-June, 2009.     

Detection of Incompatible Properties in a Double-Slit Experiment

In this work we show that, within the framework of double-slit experiment, it is possible to ascertain simultaneously more incompatible properties together with the measurement of the position of the final impact-point. A wide family of solutions is concretely found and an ideal experiment realizing such a detection is designed, relatively to the detection of two incompatible properties. In the case of three incompatible properties, general conditions for the existence of solutions are singled out and a particular family of solutions is provided.     

基于解聘补偿的股权激励模型研究

传统的委托代理模型存在激励的短期性与道德风险的单边性两方面的问题．通过引入解聘补偿机制,建立并分析了信息完全对称和不完全对称两种情况下的股权激励模型,研究了委托人解聘倾向对股权激励合同设计的影响机制．研究结果表明：在初始合同中引入解聘补偿,不仅可以有效缓解委托人的道德风险,而且可以进一步提升代理人的工作努力程度．     

大功率TEA CO2激光系统的电磁兼容设计

大功率TEA CO2激光系统工作时产生的强电磁干扰主要来源于激光主放电回路、脉冲火花开关和电源。这种强电磁脉冲干扰对激光系统内部及相关外部设备的电子系统具有很大的干扰和破坏作用。对大功率TEA CO2激光系统的电磁干扰进行了分析计算,在此基础上对大功率TEA CO2激光系统进行了EMC设计。硬件设计手段分别采用了对电磁干扰源和控制子系统进行屏蔽、系统合理布局与布线、滤波隔离,软件采用了数据冗余纠错、冗余化操作和数据鉴别等抑噪和纠错技术,有效地抑制了干扰电磁波在系统内外的传播,解决了大功率TEA CO2激光系统EMC问题。结果表明,对电磁干扰源和控制子系统进行屏蔽,系统合理布局与布线、滤波隔离等措施,是抑制电磁干扰,保证激光控制子系统硬件不受损坏的主要手段。软件抗干扰,是硬件抑制电磁干扰措施的补充和延伸,能使激光系统具有很高的可靠性。     

理性亚格子建模的实践与反思

亚格子建模是大涡模拟中的核心问题之一.理性亚格子建模的初衷是为尽量去除建模过程中的经验和唯象的成分,让建模过程中的每一步都在物理和数学上有迹可循.根据理性亚格子建模的理论已经发展出一系列不依赖经验常数和唯象模型的亚格子模型,但在实际问题中的效果却仍有不足,从而引发了近年来对亚格子建模思想本身的反思.本文回顾已有的研究和新的进展,目标是对未来的大涡模拟给出理性且自洽的理论指导.     

考虑声誉效应的众包竞赛动态激励机制研究

将声誉效应引入众包竞赛的激励机制可以促使接包方为考虑未来绩效收益而提高当前努力。建立并求解了显性和隐性声誉效应下连续两个任务阶段的动态激励模型,探讨了显性声誉修正系数、隐性声誉系数以及参赛者数量对激励效果的影响,并与无声誉激励机制进行了对比。研究表明,声誉激励机制通过单位绩效激励强度和固定奖励水平两条途径起作用,增大隐性声誉系数有助于提高每个任务阶段的努力程度,显性声誉不确定性则会降低第2任务阶段的努力程度;各种条件下实施声誉激励对第1任务阶段中的努力程度和单位绩效奖励的影响存在不确定性;参赛者数量的增加有助于弱化第1任务阶段中棘轮效应,但也会降低声誉激励机制对努力程度的正向价值,扩大声誉激励机制对单位绩效奖励的负向价值。     

服务型制造企业开放式服务创新的声誉激励模型

在服务型制造企业开放式服务创新的过程中, 为了激励合作企业参与服务创新, 将公平理论引入到声誉激励机制设计中, 考虑合作企业的公平偏好程度、服务创新能力系数、知识转移能力系数、耐心系数等参数, 运用委托代理理论, 建立声誉激励模型, 并对模型进行求解和数值仿真, 得出相应的研究结论和管理启示。研究表明:当合作企业是风险规避的, 在完全信息情况下, 合作企业的公平偏好程度系数与声誉激励系数正相关;在不完全信息情况下, 合作企业的公平偏好程度系数对声誉激励系数的影响不显著;无论是否考虑合作企业的公平偏好, 合作企业的努力水平、服务创新能力系数、知识转移能力系数、耐心系数与声誉激励系数正相关;合作企业的努力成本系数、风险规避系数、产出分享系数、外部环境变量的方差与声誉激励系数负相关。     

Mayer brackets and solvability of PDEs - II

For the Spencer -cohomologies of a symbolic system we construct a spectral sequence associated with a subspace. We calculate the sequence for the systems of Cohen-Macaulay type and obtain a reduction theorem, which facilitates computation of -cohomologies by reducing dimension of the system. Using this algebraic result we prove an efficient compatibility criterion for a system of two scalar non-linear PDEs on a manifold of any dimension in terms of (generalized) Mayer brackets.

     

Concave distortion risk minimizing reinsurance design under adverse selection

This article makes use of the well-known Principal–Agent (multidimensional screening) model commonly used in economics to analyze a monopolistic reinsurance market in the presence of adverse selection, where the risk preference of each insurer is guided by its concave distortion risk measure of the terminal wealth position; while the reinsurer, under information asymmetry, aims to maximize its expected profit by designing an optimal policy provision (menu) of “shirt-fit” stop-loss reinsurance contracts for every insurer of either type of low or high risk. In particular, the most representative case of Tail Value-at-Risk (TVaR) is further explored in detail so as to unveil the underlying insight from economics perspective.