1) oscillatory differential equation
振动微分方程
2) Highly-oscillatory differential equations
高振荡微分方程
1.
Highly-oscillatory differential equations are a kind of equations whose solutions are highly-oscillatory, which are extensively applied in molecular dynamics, celestial mechanics, quantum chemistry, atomic physics and so on.
高振荡微分方程是指其解具有高振荡性的一类微分方程，在分子动力学、天体力学、量子化学以及原子物理等方面有着广泛的应用。
2.
Highly-oscillatory differential equations are a kind of equations whose solutions are highly-oscillatory,it is extensively applied in aspects such as molecular dynamics,celestial mechanics,quantum chemistry,atomic physics and so on.
高振荡微分方程是其解具有高振荡性的一类微分方程,它广泛应用于诸如分子动力学、天体力学、量子化学以及原子物理等方面。
3.
Highly-oscillatory differential equations are a kind of equations whose solutions are highly-oscillatory,which are extensively applied in molecular dynamics,celestial mechanics,quantum chemistry,atomic physics and so on.
高振荡微分方程是指其解具有高振荡性的一类微分方程,在分子动力学、天体力学、量子化学以及原子物理等方面有着广泛的应用。
3) molecular variation equation
分子振动方程
1.
The paper addresses to the problem of confusions caused by the representations of constant terms concerning molecular variation equation in the process of analyzing infrared absorb spectrum in the existing equipment analysis textbooks .
针对现行仪器分析教科书中 ,红外吸收光谱分析的分子振动方程式常数项表达形式的问题 ,分析了计算公式常数项出现不一致的原因 ,指出了各参数之间单位的换算以及常数的由来 。
4) Motion Equation
运动微分方程
1.
Continuity equation and motion equation which can be applied to cone-shaped pipes are obtained and finite difference method for them is brought forward.
根据非稳定流的一维流动理论,对圆锥形管道中的瞬变流动进行了分析,推导出了适用于圆锥形管道的连续性微分方程和运动微分方程,给出了这两个方程的有限差分解法,同时对计算结果进行了相对误差的对比分析。
5) movement differential equation
运动微分方程
1.
According to the force that the dust granule bears in the pulse electric field electrically charged process and the movement differential equation,dust collecting efficiency of the dust granule in static electricity dust remover that is supplied by the high-pressured pulse is obtained.
根据粉尘粒子在脉冲电场荷电过程中所受力的作用及运动微分方程,推出了粉尘粒子在高压脉冲供电静电除尘器中的收尘效率,并依据公式说明了除尘过程中各个参数对除尘效率的影响。
2.
Based on the principle of mass-changing mechanics,this paper analyzes the process of water wheel raising water,educes its movement differential equations in its three stages from starting to stable running,obtains solutions of the equations,and calculates on the angular velocity of the waterwheel in constant motion.
应用变质量力学原理对农用水车在提水过程中所经历的三个不同阶段，即在运动过程中水车的受力和运动量都在发生变化的情况下，对其动力学问题进行了较为深入的分析，导出了水车由起动至稳定运转三个阶级的运动微分方程，并得到了它们的解答，进而求得水车在趋于定常运动时的转动角速度。
6) Differential equation of motion
运动微分方程
1.
Differential equation of motion was crcated after the relationchip between generalizcd coordinates and outer moment of all gears in a differential gear train was studied so.
本文从多自由度机构的动力学观点出发，研究差动轮系各轮的广义坐标与对外力矩之间的关系，进而建立其运动微分方程，以便用来定量定性地分析各种差动轮系各中心轮的运动参数与动力参数之间的内在联系。
2.
In this paper,with the tangent coodination the new Bine s formula was deduced, and by the method of solved differential equation of motion,it was obained theunited equation about conic sections in the tangent coordination.
并用解运动微分方程的方法求得了统一的圆锥曲线的切线坐标方程。
3.
The differential equation of motion of one kind of scissors linkage seat was established and the theoretical computing formulation of its natural frequency f0, damping factor ξ and dynamic amplification factor η were derived.
建立了一种剪式驾驶员座椅的运动微分方程,导出了其固有频率fO,阻尼比ξ和振动传递率η的理论计算公式,分析了系统主要参数对振动特性参数ю、、ξ和η的影响,并以HY-Z04型剪式座掎为例,计算了系统的振动特性参数ю、ξ和η值及其随等效簧载质量m变化的规律。
补充资料：微分方程的差分方程逼近
微分方程的差分方程逼近
approximation of a differential equation by difference equations
微分方程的差分方程通近【app拟。mati.ofa山价犯n-ti习闪姗柱.by山血魂.理equa西姗;即即肠。砚田朋.朋巾卜碑四.别吸.。印冲.旧e朋，pa3I.ecTll目M] 微分方程用关于未知函数在某种网格上的值的代数方程组的逼近，当网格的参数(网络、步长)趋于零时可使得逼近更加精确. 设L(Lu可)是某个微分算子，几(L声。=几，。。任叭，人“凡)是某个有限差分算子(见徽分算子的差分算子通近(aPProximation of a dilferential operator by dif-feren沈。perators”.如果算子L、关于解u逼近算子L，其阶为p，即如果 }}Lh[u]*I}汽=o(hp)，那么有限差分式L声、二0(o任凡)称为关于解“对微分方程Lu=O的P阶逼近. 构造有限差分方程L声*=0关于解u逼近微分方程Lu=0的最简单例子是将Lu的表达式中每个导数用相应的有限差分来代替. 例如，方程 _子“.，、血._，_八_一n Lu三书舟+P(x)于+q(x)u=U ~“一dxZr‘~产dxl‘’可用有限差分方程 L‘“‘三生理二丛吐丛二+ h‘ U~丰I一U，_I_ +尸(x们厂竺二兹巴几十，(x功)u朋一o作二阶精度逼近，其中网格几。和几;由点x.“。h组成(m是一整数)，“.是函数u*在点x.的值.又，方程 au aZu L“三共牛一斗冬二0， --一ar ax，可用关于光滑解的两种不同的差分近似来逼近: _.月+1_”月气.月上.” 一门、“nt4用“用十l‘“阴l“用一I八 于九‘(撇式格式(exPlie，}seheme))和! “几’l一嗽试，‘l}一翔二，曰衅，‘从 拭’价二一一-一—一了一--一一几，(隐式格式(一mf)liczt scheme))，其中网格D*。和D*:由点(x。，甲=(川入，似)组成，:二rhZ，r二常数，巾和n是整数，。二是函数翻、在网格点(x，，t。)的值.存在这样的有限差分算子L，它对微分算子L的逼近，仅关于方程L。一0的解。特别好，而关于其他函数则差一些.例如，算一子L*L*U。三兴，·卜·夸卫一尹{刁内队引〔其中汀二·。州一随甲‘气))关f任意的光滑函数。(*)是算 广L- d仪 L“一…一甲〔戈，“)Z(工) 办的一阶逼近(_关于八)、而关于方程大u=O的解却是二阶逼近(假定函数:，充分光滑)在利用有限差分方程与。。
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