导出方程

The consistency between these two averaging equations forquasi-liner systems is shown and an error in the expressions in refe- rence[ 7 ] is pointed out.

对于具体系统，只要根据系统的物理性质确定一个慢变量，即可代入本文导出的通用公式而得到平均方程。

Apply the rigid body movement of space and the matrix of loeation tronsformation of space to get the mathematic.

用空间刚体运动及空间位置变换矩阵导出自由刚体运动的教学描述方程。

Combining mechanics theory of yield and fracture of ductile metal in classical strength theory with microcosmic fracture mechanics,and by studying fracture stress field in root of notched bar made of constructional steel,the author brought forward loci equation of constructional steel in stress triaxiality space.

结合古典强度理论和微观断裂力学对金属屈服和断裂解释的力学原理，通过对结构钢深槽刻痕杆刻痕根部微观断裂应力场的数值模拟，导出了结构钢在应力三轴空间的屈服轨迹方程。

What this paper discusses rainbow gravitation to fall is cruel bilge model, derived of metric field and scalar quantity field disturb equation, analysed the property that density disturbs to change along with time.

本论文讨论彩虹引力下的暴胀模型，导出了度规场和标量场的扰动方程，分析了密度扰动随时间变化的性质。

It's discussed that self-excitation vibration mechanism with creeping phenomenon for lower motion parts running speed in NC machine tool feed system.

讨论了数控机床进给系统中因运动部件转动速度较低，因而产生爬行现象的自激振动机理；通过对进给系统建立运动模型、导出振动方程从而对爬行现象进行了理论分析。

This is a phenomenon of non-linear self-excited vibration.

导出了在这些因素联合作用下悬臂式转子运动的四个非线性微分方程。

Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.

首先，导出了用极坐标系描述的中厚板自由振动板的微分方程，用分离变量法求得其一般解。

Based on the generalized potential variational principle of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of collaborated system structure by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘要基于大位移非线性弹性理论的广义变分原理，考虑加劲梁轴向压缩应变能和剪切应变能的影响，建立了协作体系斜拉桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了协作体系斜拉桥的加劲主梁竖向挠曲振动微分方程。

Based on the generalized potential energy variational principal of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘 要：摘要：基于大位移非线性弹性理论的广义变分原理，考虑了加劲梁轴向压缩应变能和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动、纵向振动及扭转振动的基础微分方程，为自锚式悬索桥的固有振动性状分析提供可靠的理论依据。

Starting from the differential equations which describe the gas-solid flow characters in the raceway of blast furnace,and using the similarity transformation technique to derive the similarity criterion,a cold model was set up to simulate the gas and coke movement in the raceway.

从描述回旋区内气固流运动特性的微分方程出发，应用相似转换法导出相似准则，建立模拟回旋区内煤气及焦炭运动的冷态模型。冷态试验采用了大米、小米、绿豆等作为模型的填充料层；应用HG-100K高速摄像机记录了模型内回旋区的大小与颗粒运动轨迹；并详细分析了影响回旋区大小的主要因素

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。