Elasticity solutions for a piezoelectric cone under concentrated loads at its apex

IntroductionTheproblemofaconesubjectedtoconcentratedloadsatitsapexisaclassicalprobleminthetheoryofelasticity.AnumberofscholarshavestUdiedtheproblem.LovereportedthesolutionstotheproblemofanisotropicconeunderconcentfatCdforcesatitsapex['].Lur'estudiedthisclassofproblemssystematicallybymeansofPapkovich-Neubergeneralsolution[2].LekniskiiandHu,byusingtheirrespectivegeneralsolutions,studiedcompressionandbendingproblemsofatransverselyisotropicconesubjectedtoaxialconcentfatedforcesandtfansverseconc…     

调液阻尼器对结构扭转耦联振动控制的优化设计

提出了利用调液柱型阻尼器(Tuned Liquid Column Dampers,简称TLCD)和环形调液阻尼器(Circular Tuned Liquid Column Dampers,简称CTLCD)来控制偏心结构在多维地震作用下扭转耦联振动的方法。采用遗传算法,在双向地震作用下,对调液阻尼器的相关参数进行优化。选取了两种目标函数,一种只考虑最大的楼层反应,另一种考虑结构所有自由度的反应。用一个12层的偏心结构作为算例,进行优化计算,结果表明,采用第二种目标函数得到的阻尼器的参数,能有效降低结构的平动反应和扭转反应。     

Torsion Axial-Vector in an Alternative Kerr Tetrad Field

In the framework of parallelism general relativity, the torsion axial-vector in the rotating gravitational field is studied in terms of the alternative Kerr tetrad. In thecase of the weak field and slow rotation approximation, we obtain that the torsion axial-vector possesses the dipole-like structure. Furthermore, the effect of massive neutrino spin precession in this field is mentioned.     

Experimental study of the effect of propellant asymmetrical distribution on anode current in a Hall effect thruster

This paper experimentally evaluated the effect of the disruption of the symmetrical distribution of the propellant on the characteristics of the anode current. The change in the asymmetry degree of the propellant distribution is achieved by supplying gas with a dual-cavity gas distributor. The results show that as the asymmetry degree increases, the magnitude of the anode current changes monotonically from a slow growth to a rapid growth, while the peak-to-peak value of the anode current exhibits a non-monotonic behavior. A preliminary analysis shows that the asymmetrical distribution of the propellant causes a nonuniform plasma generation along the azimuthal direction and consequently the appearance of an azimuthal electric field. The effect of the azimuthal electric field on the electron azimuthal drift as well as the induction of the electron axial drift are key factors that account for the change of the anode current and its oscillation.     

Quantum-chemical calculations of the structure,vibrational spectra,and torsional and inversion potentials of methylcarbamate

We present results of ab initio and DFT calculations of the structure, potential functions of the methyl group internal rotation and the amino group inversion, and vibrational frequencies and intensities in IR and Raman spectra of methylcarbamate. The calculations were carried out using different basis sets in the HF, MP2, and DFT/B3LYP approximations. The influence of both the basis set size and the allowance for electronic correlation on peculiarities of the structure of the amino group in methylcarbamate has been analyzed. It is shown that the B3LYP/6-311++G(2d, p) and B3LYP/cc-pVDZ calculations reproduce highly accurately experimental geometric parameters of methylcarbamate. Parameters of torsional and inversion potentials and characteristics of vibrational spectra calculated in different approximations show satisfactory agreement with experimental values. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 76, No. 3, pp. 349–357, May–June, 2009.     

Quantum State Transfer Via a Two-Qubit Heisenberg <Emphasis Type="Italic">XYZ</Emphasis> Spin Model

We report the transfer fidelities of two-qubit pure state via a two-qubit Heisenberg XYZ spin model under a nonuniform magnetic field. It shown us that not only the average fidelity can be enhanced evidently but also the ideal fidelity region can be broadened by introducing the interaction of z component of two neighboring spins J _z . Decreasing the anisotropy parameter γ also can improve F _a and result in ideal fidelity. Our study on the average fidelity of this quantum channel system also shows that for any finite value of temperature T we can obtain the ideal average fidelity by improving the inhomogeneous magnetic field b. F _a is infinitely close to the maximum value of classical communication 2/3 with increasing b. While increasing the uniform field B can not do this, F _a are always inferior to 2/3 for enough larger B.     

采用CCD技术的微型光机电系统光开关测试方法

在研制基于微型光机电系统技术的光电器件过程中,需要精确测定器件在给定驱动条件下的运动情况。在对制作完成的光开关进行性能测试时,由于微型光机电系统光开关的几何尺寸的限制,如果要准确测定光开关微反射镜的运动位移。将会有一定的困难。提出了一种采用线阵CCD技术的光学测量方法,实现了对光开关悬臂梁在驱动电压作用下的旋转角度的精确测量。通过理论推导得到了悬臂梁扭转角度与可测量物理量的关系．通过求解方程得到了各个物理量的数值选择对于测量结果的影响,并且给定了测量时各个物理量的参考值。通过实验测量,误差小于10％,表明这是一种具有实际意义的测量方案。     

A generalization of Baer’s Lemma

There is a classical result known as Baer’s Lemma that states that an R-module E is injective if it is injective for R. This means that if a map from a submodule of R, that is, from a left ideal L of R to E can always be extended to R, then a map to E from a submodule A of any R-module B can be extended to B; in other words, E is injective. In this paper, we generalize this result to the category q _ω consisting of the representations of an infinite line quiver. This generalization of Baer’s Lemma is useful in proving that torsion free covers exist for q _ω.      

Exact analytical and numerical solutions of stability problems for a straight composite bar subjected to axial compression and torsion

Based on linearized equations of the theory of elastic stability of straight composite bars with a low shear rigidity, which are constructed using the consistent geometrically nonlinear equations of elasticity theory for small deformations and arbitrary displacements and a kinematic model of Timoshenko type, exact analytical solutions of nonclassical stability problems are obtained for a bar subjected to axial compression and torsion for various modes of end fixation. It is shown that the problem of direct determination of the critical parameter of the compressive load at a given torque parameter leads to transcendental characteristic equations that are solvable only if bar ends have cylindrical hinges. At the same time, we succeeded in obtaining solutions to these equations in terms of wave formation parameters of the bar; these parameters, in turn, enabled us to find the parameter of the critical load at any boundary conditions. Also, an algorithm for numerical solution of the problems stated is proposed, which is based on reducing the problems to systems of integroalgebraic equations with Volterra-type operators and on solving these equations by the method of mechanical quadratures (finite sums). It is demonstrated that such numerical solutions exist only for certain ranges of parameters of the bar and of the parameter of torque. In the general case, they can not be obtained by the numerical method used. It is also shown that the well-known solutions of the stability problem for a bar subjected to torsion or to compression with torsion are in correct. Translated from Mekhanika Kompozitnykh Materialov, Vol. 45, No. 2, pp. 167–200, March–April, 2009.