Mechanical wave analysis of two misunderstood _112

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Mechanical wave analysis of two misunderstood

, The equilibrium position in the adjacent dense center of the Department of the Ministry Center and the center of the particle sparse restoring force suffered the most,[link widoczny dla zalogowanych], also the largest displacement. For example, as shown in Figure 1, is a case of longitudinal wave spring. Figure 1a that the position of equilibrium in which each particle, Figure 1b that the displacement of each particle occurred, Figure 1c that the image wave. It can be seen from the figure, the particle density in the Department of Centre 3, Centre particle 7 in the Ministry of sparse, they are in equilibrium,[link widoczny dla zalogowanych], the displacement is zero; particle displacement 5 and 9, the largest particle, they are not secret Ministry Center, nor Ministry Center sparse, and their respective equilibrium position of particle 3 and particle 7 in the center of the particle in the center of 7 and 11 particles. It can be seen in the longitudinal wave, in the equilibrium position of the particle density is the center of the Department of the Ministry Center or sparse; displacement of the equilibrium position of the maximum particle density in the adjacent Department of the Ministry of center and center of the center sparse. Figure 1 2 misunderstanding the process of wave propagation, in the equilibrium position of the particle. The maximum kinetic energy, potential energy minimum; and the largest displacement of the particle, the kinetic energy minimum. Analysis of the potential energy maximum occurs because of this misunderstanding is to separate the particle simple harmonic motion (the harmonic oscillator,[link widoczny dla zalogowanych], the same below) changes in vibration energy applied to the fluctuations in each particle. In fact, from the energy point of view, the vibration and wave oscillator when the vibration of the particle medium is different. Sub-harmonic vibration during transformation between kinetic and potential energy, the total mechanical energy conservation, kinetic energy is maximum when the minimum potential energy, kinetic energy is minimal (equal to zero, the same below), the maximum potential energy. This can be spring oscillator and the pendulum vibration to be confirmed. But in the medium fluctuations of kinetic and potential energy of particle vibration is not such a relationship. In the volatility, the medium particle vibration kinetic energy changes and harmonic oscillator vibration kinetic energy as the particle through the equilibrium position, velocity maximum kinetic energy is maximum, to reach the maximum displacement speed of the smallest kinetic energy minimum, but the potential energy changes and harmonic oscillator is different. In volatility (in the secondary schools only consider wave propagation in the case of elastic media), medium particles (actually,[link widoczny dla zalogowanych], the quality of micro-element, the same below) The reason why is because each particle has the potential elastic deformation occurred (on the longitudinal wave. ---- 48 ·---- tensile compression set is shown in Figure 1; on the cross is the shear, as shown in Figure 2), so the potential size of the size and deformation, deformation the greater the potential the greater the smaller the deformation, potential energy is smaller. In the fluctuations in the deformation of the particle size of the particles in Figure 2 the amount of relative displacement between the decision of the relative displacement between the larger particles, the greater the deformation, the smaller the relative displacement between particles, the smaller the deformation. As the wave of the images, vertical axis of the particle displacement, horizontal axis, said equilibrium position of each particle, it is known by the mathematical knowledge. Speed curves in the image that reflects the steepness of the relative displacement between particles, the faster the curve (steeper), the greater the relative displacement between particles, the curve changes more slowly (more flat), the smaller the relative displacement between particles . Clearly, in the maximum displacement, the most gentle curve, the relative displacement between the smallest particles, the particle potential energy minimum; in the equilibrium position, the steepest curve, the maximum relative displacement between particles, the particle potential energy maximum. From Figure 1, the longitudinal wave can be seen in the equilibrium position of particle 3, the location of the most secret springs, the maximum amount of compression spring, the maximum potential energy of particle 3, the equilibrium position of the particle in the location of the spring 7, the most sparse, spring elongation maximum, the maximum potential energy of particle 7. The displacement of the particle with the largest 5 and 9, the location of the particle does not spring deformation, particle 5 and 9 of the potential energy of the smallest particle. Similarly, the wave in Figure 2, the particle A does not occur at the shear, the potential energy minimum, the particle shear at the worst, saying its potential maximum. In summary, the fluctuations in the equilibrium position of the particle kinetic energy in the largest potential energy is also the largest; displacement of the maximum kinetic energy of the smallest particle, potential energy is also the smallest; media in each of the total mechanical energy of a particle is not conserved, but with time for cyclical changes. This is the vibration wave propagation at the same time also a concrete manifestation of the energy spread. This must point out. Standing wave of energy and the wave is different. In the standing wave, when the section between adjacent wave reaches the maximum displacement of each particle, the particle velocity is zero, kinetic energy is also zero, but the particle has undergone a different degree of deformation, the more particles near the wave deformation of the section more Obviously, the greater its potential energy. Then the form of standing wave energy is focused on the potential nodal vicinity. When the particle through the equilibrium position,[link widoczny dla zalogowanych], the deformation of the particles are gone, there is no potential energy, but the speed of the particles have reached the maximum, the more close to the wave particle velocity at the bigger belly, then the form of standing wave energy to kinetic energy focus on near antinode. So in a standing wave in the ongoing kinetic and potential energy conversion and in between antinodes and nodal metastasis between, but has not targeted the energy spread.