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In this paper the propagation of pulse wave on and the mutual coupling between conductors of a multi-conductor transmission system are analysed from the basic voltage and current equations. It is found from the analysis that on a completely transposed double-circuit three-phase system there will exist four pulse waves of different velocities originated from a system disturbance, and accordingly there will be four different values of the characteristic impedance. With these relations obtained, some... In this paper the propagation of pulse wave on and the mutual coupling between conductors of a multi-conductor transmission system are analysed from the basic voltage and current equations. It is found from the analysis that on a completely transposed double-circuit three-phase system there will exist four pulse waves of different velocities originated from a system disturbance, and accordingly there will be four different values of the characteristic impedance. With these relations obtained, some peculiar phenomena of pulse wave propagation on lines can be explained, and the distortion, reflection, and refraction, etc., of waves can be computed according to given boundary conditions, thus giving theoretical support to practical measurements on lines. Examples are given to illustrate the method of analysis. 本文从电压和电流的基本方程出发,分析脉冲波在多导线传输系统的传播现象和多导线传输系统导线间的相互耦合作用。分析结果说明,在一轮换的双迴三相输电系统里,系统扰动将会产生四种不同速度的脉冲波,对这四种不同速度的脉冲波将有四个不同的特性阻抗。应用这些关系,将能解释线路上脉冲波传播的某些特殊现象,和按照给定的边际条件计算出波的畸变、反射和折射等等,从而对线路实测结果提供理论依据。文中举例说明这分析方法。 这脉冲波传播的理论分析被进一步推广应用到稳态交流运行情况,并推导出双迴输电线的等效电路。 Part I The Basic Equations Some basic equations, which may be used to describe and analyse the impact action of a linear cam on the needle in the whole acting zone, are derived by applying the fundamental theory of vibration of single-degree-of-freedom system, basing on hypotheses for simplifying the important parameter-the transverse stiffness of the needle. In general, the whole acting zone of a linear cam may be divided into: 1. The impact zone, in which the first impact and several re-impacts occur.... Part I The Basic Equations Some basic equations, which may be used to describe and analyse the impact action of a linear cam on the needle in the whole acting zone, are derived by applying the fundamental theory of vibration of single-degree-of-freedom system, basing on hypotheses for simplifying the important parameter-the transverse stiffness of the needle. In general, the whole acting zone of a linear cam may be divided into: 1. The impact zone, in which the first impact and several re-impacts occur. The peak value of first impact force is equal to the sum of the resistance force to the needle and the amplititude of vibration, which is directly proportional to the velocity, the frequency and the mass of the needle. The re-impact force may be considered from the same point of view as the first impact, but a decrement factor q must be taken into account, which is determined by the initial longitudinal velocity of the needle when it begins to re-impact with the cam. The intermittant time between the impacts is directly proportional to the longitudinal velocity of the needle and inversely proportional to the frictional resistance force. 2. The steady zone. The acting force on the needle in this zone is equal to the sum of the damping and frictional resistance force. A typical model of the oscillogram of a linear cam acting force on the needle is also given in this paper. Part II Experiments and Conclusions A lot of experiments with various kinds of needle, cams and some different velocities have been made for investigating the actual impact action of a linear cam on a needle in the whole acting zone. The results of these experiments show that the basic equations in Part I, used to explain the main characteristics of the linear cam impact action on the needle are reliable. Some of the data and photographs obtained in the experiments are illustrated in this paper as examples. Integrating the theoretical analyses with experimental investigations, interesting conclusions on the following items are obtained: typical model of the oscillegrams of the linear cam impact action on the needle, the peak value of the first impact force, the acting force in the steady zone, the re-impact force, the intermittant time between the first impact and the re-impact, the effects of the slope of the cam, and the horizontal velocity of the needle on the impact force etc. 第一部分基本方程根据单自由度系统振动原理和一些为了使重要参数k_2——横向刚度简化而设立的假说,导出了可以用来说明和分析直线三角在整个作用区域内对织针冲击作用的一些基本方程。一般说来,直线三角的整个作用区可以分为: 1.冲击区其中存在有第一次冲击和几次再冲击。第一次冲击力的峰值等于针槽对织针的阻力和振动的振幅之和,这个振幅和织针的速度、频率以及质量成正比。也可以象第一次冲击一样来考虑再冲击,但是必须考虑减缩因子q,而这q是由开始再冲击时,织针的初始纵向速度所确定的。二次冲击间的时间间隔和织针的纵向速度成正比,而和摩擦阻力成反比。 2 平稳区在平稳区内对织针的作用力等于阻尼和摩擦力之和。本文还给出了直线三角对织针作用力的波形图的典型模式。第二部分实验和结论进行了大量的用来探讨直线三角整个作用区内三角对织针作用力的实验。这些实验是在用各种不同织针、三角以及各种不同速度的情况下进行的。这些实验的结果表明:第一部分中用来解释直线三角对织针冲击作用特性的基本方程是可靠的。文中以举例的方式,列举了一些由实验得到的数据和照片。结合理论分析和实验考查,得出了一些有意义的结论,这些结论是关于:在整个作用区内三角对织针作用力的波... 第一部分基本方程根据单自由度系统振动原理和一些为了使重要参数k_2——横向刚度简化而设立的假说,导出了可以用来说明和分析直线三角在整个作用区域内对织针冲击作用的一些基本方程。一般说来,直线三角的整个作用区可以分为: 1.冲击区其中存在有第一次冲击和几次再冲击。第一次冲击力的峰值等于针槽对织针的阻力和振动的振幅之和,这个振幅和织针的速度、频率以及质量成正比。也可以象第一次冲击一样来考虑再冲击,但是必须考虑减缩因子q,而这q是由开始再冲击时,织针的初始纵向速度所确定的。二次冲击间的时间间隔和织针的纵向速度成正比,而和摩擦阻力成反比。 2 平稳区在平稳区内对织针的作用力等于阻尼和摩擦力之和。本文还给出了直线三角对织针作用力的波形图的典型模式。第二部分实验和结论进行了大量的用来探讨直线三角整个作用区内三角对织针作用力的实验。这些实验是在用各种不同织针、三角以及各种不同速度的情况下进行的。这些实验的结果表明:第一部分中用来解释直线三角对织针冲击作用特性的基本方程是可靠的。文中以举例的方式,列举了一些由实验得到的数据和照片。结合理论分析和实验考查,得出了一些有意义的结论,这些结论是关于:在整个作用区内三角对织针作用力的波形的典型模式;第一次冲击力峰值;再冲击力;平稳区作用力;二次冲击间的时间间隔以及三角斜率和织针速度对冲击力的影响等的结论。 This paper discusses the role played by the interstellar gas in spiral galaxies. To represent a disk-shaped galaxy we adopt a two-gas-disk model (one for the interstellar gas disk and the other for the stellar disk). The following conclusions are drawn from our analysis: 1. With the different velocity dispersion between gas and stars, the stellar arm must be divorced from the gas arm; 2. Such divorce makes the spiral mode of density waves in a disk-shaped galaxy unstable; 3. The ratio η between the densities... This paper discusses the role played by the interstellar gas in spiral galaxies. To represent a disk-shaped galaxy we adopt a two-gas-disk model (one for the interstellar gas disk and the other for the stellar disk). The following conclusions are drawn from our analysis: 1. With the different velocity dispersion between gas and stars, the stellar arm must be divorced from the gas arm; 2. Such divorce makes the spiral mode of density waves in a disk-shaped galaxy unstable; 3. The ratio η between the densities of gas and stars in galaxies should be less than a certain value to maintain the density waves for a long time; 4. The less the ratio η is, the more tightly the spiral arm winds up. 本文讨论旋涡星系中星际气体所起的作用,采用双气盘模型模拟盘状星系。由分析可知:1.由于星际气体与恒星具有不同的速度弥散度,因此恒星臂必然与气体臂分离。2.这样的分离导致密度波的旋涡模式的不稳定性。3.为使密度波得以长期维持,星系中气体密度与恒星密度之比η应小于某一值。4.系数η越小,则旋臂越紧卷。
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