Fundamental Frequency vs Natural Frequency
固有频率和基本频率是非常重要的两个波浪相关现象。这些现象在音乐,建筑技术,预防灾难,声学和大多数自然系统分析等领域具有重要意义。在这些概念中有清晰的理解,以便在这些领域中脱颖而出,这一点至关重要。在本文中,我们将讨论什么基本频率和固有频率是什么,它们的定义,应用,与固有频率和基本频率相关的现象,它们的相似性以及最终的固有频率和基本频率之间的差异。
What is Natural Frequency?
每个系统都有一个称为固有频率的属性。如果要为系统提供较小的振荡,系统将遵循此频率。系统的固有频率非常重要。地震和风等事件可能会破坏与事件本身相同的固有频率的物体。了解和测量系统的固有频率以保护其免受这种自然灾害的影响非常重要。固有频率与共振直接相关。当系统(例如,摆)的振荡很小时,它将开始摆动。它摆动的频率是系统的固有频率。现在想象一下应用于系统的期刊外力。这种外力的频率不一定与系统的固有频率相似。 This force will try to oscillate the system to the frequency of the force. This creates an uneven pattern. Some energy from the external force is absorbed by the system. Now let us consider the case where the frequencies are the same. In this case, the pendulum will freely swing with maximum energy absorbed from the external force. This is called resonance. Systems such as buildings, electronic and electrical circuits, optical systems, sound systems and even biological systems have natural frequencies. They can be in the form of impedance, oscillation, or superposition, depending on the system.
基本频率是什么?
基本频率是在常规波浪中讨论的概念。想象两个相同的波浪,它们朝相反的方向行驶。当这两个波相遇时,结果称为常规波。沿 + X方向行驶的波的方程为y = a sin(ωt - kx),并且在-x方向上行驶的类似波的方程为y = a sin(ωt + kx)。根据叠加的原理,这两个重叠的结果波形为y = 2a sin(kx)cos(ωt)。这是常驻波的方程式。“ X”是距离起源的距离;对于给定的X值,2a SIN(KX)变为常数。sin(kx)在-1和+1之间变化。因此,系统的最大幅度为2A。 The fundamental frequency is a property of the system. At the fundamental frequency, the two ends of the systems are not oscillating, and they are known as nodes. The center of the system is oscillating with the maximum amplitude, and it is known as the antinode.
What is the difference between natural frequency and fundamental frequency? •固有频率是涉及振荡的属性,但基本频率是涉及波浪的属性。 •每个系统都有固有频率,但是基本频率仅在某些系统中发生。 •对于基本频率,需要相反的两个相同波的叠加,但是对于固有频率,仅需要一个振荡。 |
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