Based on the analysis model of pipe roof applied in the cutting under shallow overburden in soft ground,the analytical sensitivity analysis equation of bending moment induced by excavation release load is developed.

On the base of static analysis of rocker,dynamic analysis model of whole valve train is established by means of finite element method(FEM). The dynamic analysis equation is solved by Wilson step by step integration.

Based on the analysis of the actual measured data, the fit equation and stability analysis equation for rock slope under the condition of blasting vibration in full course have been established. Meanwhile, it also describes the changes of stability factors of rock under the blasting vibration as time goes.

Then vibration equations are deduced through perturbing the dynamic equations at wing’s equilibrium position, and coupled with unsteady stall aerodynamic model and ONERA model, to obtain the nonlinear stall flutter analysis equations of wing.

According to the feature of underground soft rock roadway of coal mine,reliability analysis equations for two types of surrounding rock,which are approximately horizontal medium and quasi continuous medium,were established under the condition of surrounding rock supported by bolt mesh arch.

We deal with the problem of earthquake response for flexibility stand cylindrical steel storage tank. Simple mechanical analysis model is given, vibration analysis equations of isolation system for stand storage tank are established. Numerical simulation calculation is adopted and quantitative analysis is made.

The transfer equations of the displacement, velocity and acceleration of the whole differential system under 5 dof(degree of freedom) constrained mode input and 6 dof free mode input are given. The algorithm also gives vector analytical equations of the velocity and the acceleration of the parts of the system.

In this paper, based on the theory of contact analysis with friction in 3 dimension, was established the model of mechanics for blades in closed state and the analytical equations for contact force on the vertical surface as well as contact gap. The calculation method was determined, and the special purposed software was developed.

Simple analytical equations are given in this paper to predict the penetration and perforation of thick metallic targets under normal impact by missiles with different nose shapes over a wide range of impact velocities.

Results HBsAg positive rate accord to the linear equation Y=-0.31X +625.98, and the correlation R=-0.642. It is about 6.2 % that the HBsAg positive rates of the boys and 3.9 % for the girls in 9 years.

We analyze the dynamics in the vicinity of a jump point of the slow manifold and consider the relationship between singular cycle and the limit cycles of systems as ρ→0.

Near-infrared spectroscopy and principal components analysis were used to develop a discriminant analysis equation that could identify correctly the type of seed oil present in extra virgin olive oil in 90% of cases.

In the veteran sample, only one macrolevel variable entered the stepwise analysis equation: the number of dwelling units in the site.

Pursuing this analytically will give the analysis equation 63 for parallel Zin as a function of inductor parallel resistance Rp.

Pursuing this analytically will give the analysis equation 62 for parallel Zin as a function of inductor parallel resistance Rp.

The criterion for entry into the logistic regression analysis equation was a value of p from the Kendall's Tau-b analysis.

The various formulations differ in the independent variables chosen, the analysis equations employed, and the form of the resulting constraints.

We present an approach for reducing the number of variables and constraints, which is combined with System Analysis Equations (SAE), for multiobjective optimization-based design.

It is based on formulating the analysis equations and the continuity conditions for a sequence of typical modules.

Accumulated meteorological variables were of the greatest value in most regression analysis equations, heat-related variables being the most important.

Neglecting the implicit analysis equations, the solution becomes independent of the control variables and a lower bound (LB) on the optimum can easily be obtained.

In particular, analytical equations can be obtained in the steady case for the radius of the cavity during flow of a weightless, and of a heavy, fluid round an object.

Analytical equations (asymptotics at large electrode charges) for concentrations of solvated ions in the plane of their maximum approach and for their "surface excesses" (diffuse adsorption) are determined.

Analytical equations are derived for the partial amplitudes of scattered waves and forced oscillations.

The analytical equations obtained are in agreement with the experimental data on the cross section of multiphoton ionization and give an estimate of the threshold field values in the tunneling region.

The analytical equations used are derived by the Born method.

In this paper we invesigate the relative position of limit cycles of the system dx/dt=-y-y~2+mxy+dx,dy/dt=x(1+ax)(1)where α<0 and dm≠0. It is already known, that(1) can have limit cycles only when dm>0 and|d|<|m|. System (1)has four elementary critical points: O(0,0), M(0,-1), N'(-1/a,y_1'), R'(-a,y_2'), (y_1'>y_2'), where O and R' have index +1, M and N' have index -1. The main result in § 1 is the following: Theorem: (ⅰ)In case m>-a>0 and d>0 sufficiently small system, (1) has just two limit cycles, appearing...

In this paper we invesigate the relative position of limit cycles of the system dx/dt=-y-y~2+mxy+dx,dy/dt=x(1+ax)(1)where α<0 and dm≠0. It is already known, that(1) can have limit cycles only when dm>0 and|d|<|m|. System (1)has four elementary critical points: O(0,0), M(0,-1), N'(-1/a,y_1'), R'(-a,y_2'), (y_1'>y_2'), where O and R' have index +1, M and N' have index -1. The main result in § 1 is the following: Theorem: (ⅰ)In case m>-a>0 and d>0 sufficiently small system, (1) has just two limit cycles, appearing separately in the neigh bourhood of 0 and R'. (ⅱ) In case-a>m>0, when d increases from zero, limit cycles appear first in the neighbourhood of O, and later also in the neighbourhood of R', they may exist at the same time. (ⅲ)In case 0>m>a and m

In this article, the coupling equations of the laser, the first Stokes, the first anti-Stokes light, and the coherent phonon field are derived from the hamiltonian with the relaxation and dissipation terms introduced phenomenologically. The properties of these equations are analysed by adopting an approximation higher than the quasi-static approximation, provided the molecules are far from resonance. The threshold for a Raman Maser is obtained and the temporal behaviour discussed. It is shown that no additional...

In this article, the coupling equations of the laser, the first Stokes, the first anti-Stokes light, and the coherent phonon field are derived from the hamiltonian with the relaxation and dissipation terms introduced phenomenologically. The properties of these equations are analysed by adopting an approximation higher than the quasi-static approximation, provided the molecules are far from resonance. The threshold for a Raman Maser is obtained and the temporal behaviour discussed. It is shown that no additional threshold condition is required for the anti-Stokes components, i.e., the stimulated anti-Stokes radiations make their appearance as a matter of fact in the stimulated Raman effect. Under certain conditions, there exists only one stable equilibrium point, at which the Stokes and anti-Stokes light appear with equal intensity, when the Raman-active medium is pumped by an intensive laser beam. The effect of phonon relaxation and the behaviour of the Raman Maser with long lifetime phonons are discussed as well.

In this paper, we present a concise device physics theory for I2L family. The core of the integrated injection logic family which includes I2L, I3L, S2L, SFL, SI2L and 3JL etc., is composed of three mutually interactive PN junctions.By making use of the'Total Number of Excess Minority Carriers"mothod, and starting from the integral form of the continuity equation, we shall relate the terminal current of I2L with the total mumber of excess carriers, which are functions of the junction voltages. The theory can...

In this paper, we present a concise device physics theory for I2L family. The core of the integrated injection logic family which includes I2L, I3L, S2L, SFL, SI2L and 3JL etc., is composed of three mutually interactive PN junctions.By making use of the'Total Number of Excess Minority Carriers"mothod, and starting from the integral form of the continuity equation, we shall relate the terminal current of I2L with the total mumber of excess carriers, which are functions of the junction voltages. The theory can be used to compute the recombination losses of various regions. The culculated results can be used to understand and to design the I2L family, and the parameters are also measurable from the circuit characteristic point of view.Taking the I2L LSI or VLSI as a single device, We can specify and measure the static input and output characteristics.It exhibits various regions of operation.For each of these various modes of operation, we can simplify the analysis, and obtain, with appropriate approximation, simple equivalent circuits, which can be used for CAD.The Eber-Moll and Gummel-Poon models are useful for junction transistors. However, these models are insufficient for three mutually interactive junctions. Especially for the dynamic behavior of I2L, it is necessary to consider the building up or decaying of the "Total Number of Excess Carriers" in the entire I2L. The charging and discharging currents are no more constants as that has been assumed in the "Charge control" theory. Simplified equations will be given for the dynamic analysis of I2L. This analysis provides useful basic principles for the device design theory and the circuit design theory.