变厚度圆柱壳的轴对称弯曲问题

本文详细地研究了厚度h=h_0ξ~的圆柱壳的轴对称弯曲问题.文中通过引入一个位移函数H(ξ),将该问题的方程组化成一个关于H(ξ)的6阶常微分方程,用广义超几何函数给出问题的精确解.     

Fracture of a rectangular piezoelectromagnetic body

The singular stress, electric fields and magnetic fields in a rectangular piezoelectromagnetic body containing a center Griffith crack under longitudinal shear are obtained. Fourier transforms and Fourier sine series are used to reduce the mixed boundary value problems of the crack, which is assumed to be impermeable, to dual integral equations. The solution of the dual integral equations is then expressed in terms of Fredholm integral equations of the second kind. Expressions for stresses, electric displacements and magnetic inductions in the vicinity of the crack tip are derived. Also obtained are the field intensity factors and the energy release rates. Numerical results obtained show that the geometry of the rectangular body have significant influence on the field intensity factors and the energy release rates.     

Existence of Positive Solutions for the Singular Equation (ϕ p (y′))′ + g(t,y, y′) = 0

Two theorems concerning the existence of positive solutions for the singular equation are presented. The results are obtained by using the nonlinear Leray-Schauder alternative and the lower-upper solution method.     

金属丝网——油液介质耦合减振器抗冲击动态力学特性研究

基于金属丝网－油液介质耦合减振器原理样机的抗冲击动态力学特性进行研究，样机的多参数匹配冲击试验研究表明该减振器具有强非线性动态特征，并能实现抗大冲击；在此基础上结合流体理论和库伦摩擦理论建立了原理样机非线性冲击动态特性模型，研究减振器抗冲击力学特性的设计可控性，该建模方法直接引入结构参数，为直接设计具体的器件建立了理论基础。     

A STUDY ON SHIP VIBRATION USING FINITE ELEMENT METHOD

when the beam theory was used to calculate ship hull vibration,greater discrepancies were found between theoretical cal-culations and actual measurements especially at higher modes.Thusthe beam model cannot be considered as a practical one for higher-mode calculations.This paper presents the application of two-dimensional finite element model for the calculation of ship ver-tical vibration.Using the multi-element structural dynamic a-nalysis program DDJ(DL)developed by ourselves,the hull vibra-tion analysis of two ships(vessel A and vessel B)was carriedout on the Model-709 Computer made in the People’s Republic ofChina.The results of the calculation,when compared with actualmeasurements.show that the two-dimensional model is much moreefficient than the traditional beam model.The agreement be-tween the calculations and measurements has been improved greatly,and this discrepancy at the4th·and5th-modes has decreased towithin5%as compared to that of more than20%in the traditionalmodel.Furthermore.the mode     

NUMERICAL SIMULATION OF INSECT FLIGHT

In the non-inertial coordinates attached to the model wing, the two-dimensional unsteady flow field triggered by the motion of the model wing, similar to the flapping of the insect wings, was numerically simulated. One of the advantages of our method is that it has avoided the difficulty related to the moving-boundary problem. Another advantage is that the model has three degrees of freedom and can be used to simulate arbitrary motions of a two-dimensional wing in plane only if the motion is known. Such flexibility allows us to study how insects control their flying. Our results show that there are two parameters that are possibly utilized by insects to control their flight: the phase difference between the wing translation and rotation, and the lateral amplitude of flapping along the direction perpendicular to the average flapping plane.     

Studies on Stress Transference Mechanism of Steel Fibre Reinforced Concrete

ＩｎｔｒｏｄｕｃｔｉｏｎＨｏｗｔｈｅｉｎｔｅｎｓｉｏｎａｎｄｍｏｄｕｌｅｏｆｓｔｅｅｌｆｉｂｒｅｒｅｉｎｆｏｒｃｅｄｃｏｎｃｒｅｔｅ (ＳＦＲＣ)ｄｅｐｅｎｄｓｏｎｉｔｓｃｏｎｓｔｉｔｕｅｎｔｐｒｏｐｅｒｔｉｅｓａｎｄｃｏｎｔｅｎｔｉｓａｐｒｉｎｃｉｐａｌｐｒｏｂｌｅｍｔｏｐｒｅｄｉｃｔｍａｃｒｏ＿ｍｅｃｈａｎｉｃｓｐｒｏｐｅｒｔｉｅｓｏｆＳＦＲＣ,ｔｈｅｋｅｙｃｏｎｓｉｓｔｓｉｎｔｈｅｃｏｎｆｉｒｍａｔｉｏｎｏｆｓｔｒｅｓｓｄｉｓｔｒｉｂｕｔｉｏｎ .Ｉｎｔｅｒｆａｃｉａｌｓｔｒｅｓｓｔｒａｎｓｆｅ…     

The Hamiltonian Structures of 3D ODE with Time-Independent Invariants

ＴＨＥＨＡＭＩＬＴＯＮＩＡＮＳＴＢＵＣＴＵＲＥＳＯＦ３ＤＯＤＥＷＩＴＨＴＩＭＥ－ＩＮＤＥＰＥＮＤＥＮＴＩＮＶＡＲＩＡＮＴＳＧｕｏＺｈｏｎｇ－ｈｅｎｇ（郭仲衡）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊ...     

加注稀土元素铒改善轴承表面性能的研究

在Ｍｏ＾＋＋Ｎ＾＋注入模式的基础上，应用电子能谱、卢瑟福背散射谱、扫描电子显微镜和ＭＨＫ－５００型摩擦磨损试验机等研究了加注稀土元素铒正离子Ｅｒ＾＋对轴承表面摩擦学性能和耐蚀性能的影响。结果表明，在合理配置Ｍｏ＾＋、Ｎ＾＋、Ｅｒ＾＋之能量和剂量的情况下，加注Ｅｒ＾＋既能更好地改善轴承的表面性能，又能使重离子的强韧化效果提高２－４倍以上，表明ＭＯ＾＋＋Ｎ＾＋＋Ｅｒ＾＋注入模式是一种具有良好应用前景的     

Synthesis and Design of Aggregation‐Induced Emission Surfactants: Direct Observation of Micelle Transitions and Microemulsion Droplets

The direct visualization of micelle transitions is a long‐standing challenge owing to the intractable aggregation‐caused quenching of light emission in the micelle solution. Herein, we report the synthesis of a surfactant with a tetraphenylethene (TPE) core and aggregation‐induced emission (AIE) characteristics. The transition processes of surfactant micelles and the microemulsion droplets (MEDs) formed by the surfactant with a TPE core were clearly visualized by a high‐contrast fluorescence imaging method. The fluorescence intensity of the MEDs decreased as the size of MEDs increased as a result of weakening of the restriction of intramolecular rotation (RIR). The results of this study deepen our understanding of micelle‐transition processes and provide solid evidence in favor of the hypothesis that the AIE phenomenon has its origin in the RIR of fluorophores in the aggregate state.