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1.
确定轴向运动梁固有频率的多尺度法   总被引:1,自引:0,他引:1  
The natural frequencies of an axially moving beam were determined by using the method of multiple scales. The method of second-order multiple scales could be directly applied to the governing equation if the axial motion of the beam is assumed to be small. It can be concluded that the natural frequencies affected by the axial motion are proportional to the square of the velocity of the axially moving beam. The results obtained by the perturbation method were compared with those given with a numerical method and the comparison shows the correctness of the multiple-scale method if the velocity is rather small.  相似文献   

2.
To determine the motion of a charged particle in a magnetic field produced by a current flowing along a long column conductor, the equation of the motion was established on the basis of Lorentz force. Qualitative analysis and quantitative solutions demonstrated that the motion contains nonlinear oscillation. The oscillation can be treated as the perturbation of the helical motion, Which the particle undergoes in a special condition. The general motion is superposition of two helixes, one as an axis spiraled by another. It is proven that the oscillation is stable.  相似文献   

3.
The preparation of calcium phosphate (CP) coating on alumina ceramics using electric pulse stimulating method has been investigated. The cup-shaped alumina ceramics were soaked in a simulated body fluid ( SBF), and a square pulse potential with frequency of 1 Hz and voltage of 110 V was applied between the inner and outer surfaces of the alumina cup. Surface morphology of CP coatings during different deposition periods was observed by a Philips XL-30 scanning electron microscope (SEM). Compositional analysis was examined by EDAX. The mechanism of nucleation and growth of CP coating was discussed. SEM result indicates that the coating comprises of a large number of tiny needle-like grains and has a porous microstructure. There is a strong bond between the deposited layer and Al2O3 substrate, which may be due to the gentle growth of the biomimetic method. The EDAX analysis indicates that main composition of the coating is calcium and phosphor. The formation of CP coating may be contributed to the stimulation of electric pulse and the high ions concentration which is 1.5 times of the concentration of SBF solution ( 1.5SBF solution). Such surface functionalization method by electric pulse potential can be used to prepare CP coating on various electric-insulating bioinert materials for improving their bioactive character.  相似文献   

4.
The density and the refractive index for various compositions of heavy metal fluoride(HMF) glasses,used to make low-loss optical wave-guides,have been measured by standard archimedes method and by using as Pulfrich refrctometer respectively.The density as a function of composition is calculated considering the effective volume of the ions contained in the glass to be invariant.The refractive index as a function of composition is also calcuated.based on the Lorenz-Lorentz equation,by computing the electronic polarizability of HMF glasses.All calculated results are in good agreement with the observed data.  相似文献   

5.
By using a smoothing function,the P nonlinear complementarity problem(P NCP)can be reformulated as a parameterized smooth equation.A Newton method is proposed to solve this equation.The iteration sequence generated by the proposed algorithm is bounded and this algorithm is proved to be globally convergent under an assumption that the P NCP has a nonempty solution set.This assumption is weaker than the ones used in most existing smoothing algorithms.In particular,the solution obtained by the proposed algorithm is shown to be a maximally complementary solution of the P NCP without any additional assumption.  相似文献   

6.
We formulate a "Moore's law" for photonic integrated circuits (PICs) and their spatial integration density using two methods. One is decomposing the integrated photonics devices of diverse types into equivalent basic elements, which makes a comparison with the generic elements of electronic integrated circuits more meaningful. The other is making a complex component equivalent to a series of basic elements of the same functionality, which is used to calculate the integration density for functional components realized with different structures. The results serve as a benchmark of the evolution of PICs and we can conclude that the density of integration measured in this way roughly increases by a factor of 2 per year. The prospects for a continued increase of spatial integration density are discussed.  相似文献   

7.
For a strip transmission line shielded by rectangular walls,the Green‘s function is helpful to construct the variation expression of the electrostatic energy.Thomson theorem is employed to determine the charge distribution on the strip.The electrostatic force on each side of the rectangular shield wall is achieved by using the principle of virtual work.The results is easy to be obtained by computerized calculation.  相似文献   

8.
The static drill rooted nodular pile is a new type of pile foundation consisting of precast nodular pile and the surrounding cemented soil. This composite pile has a relatively high bearing capacity and the mud pollution will be largely reduced during the construction process by using this type of pile. In order to investigate the bearing capacity and load transfer mechanism of this pile, a group of experiments were conducted to provide a comparison between this new pile and the bored pile. The axial force ofa precast nodular pile was also measured by the strain gauges installed on the pile to analyze the distribution of the axial force of the nodular pile and the skin friction supported by the surrounding soil, then 3D models were built by using the ABAQUS finite element program to investigate the load transfer mechanism of this composite pile in detail. By combining the results of field tests and the finite element method, the outcome showed that the bearing capacity of a static drill rooted nodular pile is higher than the bored pile, and that this composite pile will form a double stress dispersion system which will not only confirm the strength of the pile, but also make the skin friction to be fully mobilized. The settlement of this composite pile is mainly controlled by the precast nodular pile; meanwhile, the nodular pile and the surrounding cemented soil can be considered as deformation compatibility during the loading process. The nodes on the nodular pile play an important role during the load transfer process, the shear strength of the interface between the cemented soil and the soil of the static drill rooted pile is larger than that of the bored pile.  相似文献   

9.
In recent years, much attention has been devoted to the design and operation of bearings made of elastic metal plastic (EMP). The surface of the bearing bush is covered by a layer of polymer PTFE(polytetrafluoroethylene). The physical performances of the polymer are quite different from that of metal. It can reduce friction because of its lower surface energy, and it is more difficult for the fluid to be adhered. Consequently, the slip will exist at the oil-bush interface. The journal bearings made of this material are researched in this article. Through test, the existence of slip is proven and the equation of the slip velocity for the EMP journal bearing is established when shear stress up to a certain value. Thus, the classical Reynolds equation is modified. The lubrication mechanism is analyzed by some simulation results.  相似文献   

10.
A physical model of sinusoidal function was established. It is generalized that the force is directly proportional to a power function of the distance in a classical spring-oscillator system. The differential equation of the generalized model was given Simulations were conducted with different power values. The results show that the solution of the generalized equation is a periodic function. The expressions of the amplitude and the period (frequency) of the generalized equation were derived by the physical method. All the simulation results coincide with the calculation results of the derived expressions. A special function also was deduced and proven to be convergent in the theoretical analysis. The limit value of the special function also was derived. The generalized model can be used in solving a type of differential equation and to generate periodic waveforms.  相似文献   

11.
本文研究掺铒光纤激光器的瞬时变化特性以及动力学行为特点,分析了激光及光子数密度波动变化特点以及一级近似光子数密度波动函数.当泵浦起伏具有高斯白噪声特点时,泵浦起伏增加了激光的波动特性.在共振现象中,光子数密度的波动幅值随着离子浓度和光子寿命的增加而变大且激光的波动增强,但相对值却变小了.  相似文献   

12.
基于耦合非线性薛定谔方程,通过数值模拟,研究了飞秒脉冲在光子晶体光纤中的频移现象.研究表明,不同的参数对频移有不同影响.  相似文献   

13.
量子存储在量子信息领域中具有相当重要的地位,类似于光子回波技术,一种基于可逆非均匀展宽的光量子存储方法可通过控制外部场的变化,达到对光信号的量子存储和提取。通过数值计算,对用于描述系统的海森堡方程进行求解,可知光信号被原子系统吸收后逐渐变小,光信号的量子信息转化为原子的极化属性,这样光量子信息就存储于原子系统中,其存储在原子系统的效率取决于系统的光学深度。  相似文献   

14.
在Piella G等人提出的自适应提升小波变换的基础上,提出了有效分析电能质量信号扰动检测与定位的改进的自适应提升小波预测算法;根据改进的自适应提升小波对信号的极强分类能力,将经过派克变换后的电能质量信号分为正常区与扰动区以及间断点区与非间断点区,再对各不同的区运用不同的更新算法与预测算法,能够快速准确地对电能质量信号作出扰动检测定位以及扰动程度的定量刻划;并且根据测出的扰动时间及扰动方向可以对扰动类型做出准确的分类;运用该算法对电压凸起、电压凹陷、电压暂态中断、电压瞬时脉冲、电压暂态振荡的检测与定位以及电压谐波的分析都证实了该算法的准确性和有效性。  相似文献   

15.
文章从描述超短光脉冲在光纤中传输的高阶非线性薛定谔方程入手,使用傅立叶变换的分裂算符法,通过计算机模拟,研究了高斯光脉冲在波分复用光纤系统中的传输特性.在此基础上,采用数值模拟了高斯光脉冲和超高斯光脉冲传输的稳定性以及脉冲间的相互作用.  相似文献   

16.
氢原子是所有原子当中最简单的一种原子,人们对它的研究已经比较充分。当氢原子不受外界作用时,它将处于定态,而氢原子中的电子围绕原子核运动时,将会产生一种电流,这一电流密度的计算是比较复杂的。该文利用定态薛定谔方程推导出了概率流密度,从而由概率流密度得出了氢原子中电子运动所产生的电流密度。结果表明:该电流密度与径向坐标r和角坐标θ无关,而只与角坐标φ有关。  相似文献   

17.
对超薄液膜润滑的磁头磁盘系统的动特性进行了分析.在薄膜润滑模型中考虑了在高剪切率条件下剪薄效应对流体的流变特性的影响.应用修正后的雷诺方程描述磁头、磁盘界面的润滑模型,应用摄动理论建立界面间的动压力方程,并应用差分法对静、动压力方程进行了求解.对液体润滑的IBM3370磁头磁盘系统的静动态特性进行了数字仿真.仿真结果表明液体润滑的磁头、磁盘系统有较理想的承载刚度,磁头的浮飞高度可较稳定的控制在20nm,从而满足高密度磁记录系统的要求.  相似文献   

18.
为克服由于损耗导致的光脉冲展宽,常用周期地放大的办法使孤子波的能量恢复到原始值.对集总放大方式,只要放大器间距LA色散长度LAD,并且入射峰值功率比无损耗时增大GlnG/(G-1)倍,就可以完全抵消光纤的损耗.采用直接微扰方法求解光脉冲传输方程,得出了方程的零级绝热近似解和一级修正.  相似文献   

19.
发现了一种新的非线性振动系统,用微扰法给出了其方程的一种求解方法。  相似文献   

20.
Based on the principle of general relativity, geometrization of interaction, the interaction of the inhomogeneous isotropic medium to light can be equated to a non-Euclidean geometry field just like the situation of gravity, i.e., light travels in the null geodesic in the non-Euclidean curved space-time, which is equivalent to the Fermat principle for the inhomogeneous media. In this paper, the propagation of light in an inhomogeneous media is studied by means of the effective metric theory. The modification to the classical ray equation of photons is derived from the geodesic equation of photon by considering the spin effect of photons, which is induced via the spin-orbit coupling of photons, and the corresponding Hamiltonian of photon is proposed. Based on the spin-orbit coupling of photon, a light splitting phenomenon emerges in the inhomogeneous media, which is the spin hall effect of photon.  相似文献   

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