文章提出应力复数、应变复数和惯性复数的概念，得到一个复数方程式，即复数莫尔圆方程。
The concepts of stress complex number and strain complex number and inertia complex number are presented in this paper.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
采用打靶法求解非线性控制方程，绘出了圆板的热过屈曲平衡路径。
The nonlinear governing equations are solved numerically by adopting a shooting method and the equilibrium paths of thermal post-buckling of the circular plates are obtained.
与对圆参考轨道的C -W方程初始条件进行修正的方法相比，该方法有更高的设计精度。
This method provides better accuracy than approaches that modify the initial conditions of the C-W equations for a circular reference orbit.
以圆矢量函数和媒介齿条为工具，推导了接触迹方程，讨论了接触迹的特性。
Using circle vector function and medium rack as tools, the equation of contact trace is deduced, and its characteristic is discussed.
基于一阶剪切变形理论和哈密顿原理，建立了旋转层合圆板动力学运动方程和相应的边界条件。
Based on the first order shear deformation theory and Hamiltonian principle, the governing equations and boundary conditions of rotating multi-layer annular plate were derived.
引入薄环形电子注，首次建立了脊加载同轴膜片圆波导的注波互作用线性理论，得到小信号条件下的色散方程。
The 'hot' dispersion equation of the coaxial ridge-disk-loaded cylindrical waveguide TWT with an annular electron beam can be firstly obtained according to self-consistent field theory.
计及几何非线性，在各种板边条件下，建立了圆板受迫振动时的非线性动力学方程。
The nonlinear dynamic equation of a circular plate for various boundary conditions is derived, with the geometric nonlinear effects taken into account.
计及几何非线性，在各种板边条件下，建立圆板自由振动的非线性动力学方程。
The nonlinear dynamic equation of free vibration to a circular plate for various boundary conditions, with the geometric nonlinear effects taken into account.
给出了非圆齿轮的节曲线极坐标方程，两齿轮中心距的计算方法，节曲线长度、基础圆半径和压力角的计算公式。
The polar equation of non-circular gear pitch curve, calculation method of center distance, formula of pitch curve length, primary circle radius and pressure Angle is given.
研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。
In this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
同时，对具有参数方程形式表示的非圆曲线进行了等间距直线逼近的节点误差分析。
While there is the analysis of node tolerance with parameter equation on approaching along a straight line with equal step.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
Then the dual integral equations of the venical vibration of a rigid circular plate on a fluid-saturated poroelastic half space are established according to the mixed boundary permeability condit.
文章认为，在时间伸展变换的情况下，频散方程将不是一个圆，而是一个椭圆。
It is deemed that with the variation of time extension, the dispersion equation should be an ellipse rather than a circle.
本文导出工厂变电所由高压电网供给的功率方程序，并绘成功率圆图。
An equation of the electric power of a load and its corresponding circle diagram are introduced.
应用纵向分量法推导出了完全填充手征等离子体金属圆波导的色散方程。
In this paper, using the longitudinal propagating fields method the dispersion equation are derived for the fully filled chiroplasma cylindrical waveguide.
本文用一个特例解出方程组，说明了二维线性动力系统向圆映象的转换，并且表明了这种方法的有效性。
A group of equations is solved for an example, the translation from nonlinear dynamic system in two dimensions to a circle mapping is discussed, and the effectiveness of the method is also showed.
本文用回归分析方法分析了122艘圆舭艇湿表面积系数，得出湿表面积系数预报方程序。
The wetted surface coefficients of 122 round bottom crafts have been analysed in order to derive a prediction equation by the method of least-squares.
以圆矢量函数为工具，推出了误差条件下的渐开螺旋面方程，并以啮合线为媒介，建立了测量蜗杆误差补偿的数学模型。
With the tool of circle vector function, the involute helix profile with error is given, and with the media of engagement line, the error compensation mathematical model is established.
通过使偏心圆齿轮节曲线的极坐标方程的极角按整倍数缩小的方法获得了变形偏心圆齿轮节曲线的极坐标方程。
The modified eccentric circular centrode has been obtained by reducing the polar Angle of polar equation of eccentric circular centrode by integral multiple.
考虑到混合边界值条件下，对偶积分方程的刚性扭转振动建立了横观各向同性饱和地基上圆板的休息。
Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate resting on transversely isotropic saturated soil were established.
利用拐点圆概念和对称连杆曲线的特性，导出一个简单的方程序。
A simple equation is presented via the theory of inflection circle and the properties of symmetric linkage curve.
本文首先导出圆薄板非轴对称大变形问题的位移基本方程及边界条件。
To begin with, in this paper, the displacement governing equations and the boundary conditions of nousymmetrical large deflection problem of circular thin plates are derived.
基于作者提出的饱和土弹性波动方程，研究了饱和地基上含刚核弹性圆板在竖向集中谐和力作用下的振动特性。
A study of the vertical vibration of a flexible plate with rigid core resting on saturated ground is presented in this paper.
对浅球壳和圆柱壳带一小圆孔的情况，获得了方程的级数形式通解。
General solutions of the equations are obtained, in terms of series, for shallow spherical shells and shallow circular cylindrical shells with a small circular hole.
通过有限元算例分析，验证了约束方程连接的体壳连接方法在平板结构、带安装边的圆壳结构以及带安装座的壳结构上的适用性。
The applicability of the restriction-equations method in smooth structures, cylinder with fixture fringe and shell with fixture seat is validated by FEM analysis.
建立了阶梯式变厚度圆板横向自由振动的微分方程，得出其初参数解。
A differentinal equation of transverse free vibration is established for circular plates with stepped variable thickness, and the initial parameter solution of this equation is obtained.
基于饱和土弹性波动方程，研究了饱和地基上含刚核弹性圆板在摇摆谐和力矩作用下的振动特性。
The rocking vibration of a flexible circular plate with rigid core resting on saturated ground is studied.
在极地圆轨道上工作的对地定向磁控小卫星，其动力学方程是一个线性周期系统。
The magnetic control system for polar orbiting, nadir pointing small satellite is studied in this paper. It is shown that the dynamics with magnetic control system is a linear periodic system.
在极地圆轨道上工作的对地定向磁控小卫星，其动力学方程是一个线性周期系统。
The magnetic control system for polar orbiting, nadir pointing small satellite is studied in this paper. It is shown that the dynamics with magnetic control system is a linear periodic system.
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