first harmonic

简明释义

一次谐波

英英释义

例句

1.In musical acoustics, the first harmonic 第一谐波 is often referred to as the fundamental frequency.

在音乐声学中，第一谐波通常被称为基频。

2.In a vibrating string, the first harmonic 第一谐波 is produced when the string vibrates in its fundamental frequency.

在振动的弦中，当弦以其基频振动时，产生了第一谐波。

3.When analyzing sound waves, identifying the first harmonic 第一谐波 can help determine the pitch of the note.

在分析声波时，识别第一谐波可以帮助确定音符的音高。

4.The first harmonic 第一谐波 of a pipe open at both ends is characterized by a single antinode at the center.

两个端口都开放的管道的第一谐波特征是在中心处有一个反节点。

5.The first harmonic 第一谐波 of a guitar string is what gives the instrument its basic tone.

吉他弦的第一谐波赋予乐器其基本音色。

作文

The concept of the first harmonic is fundamental in the field of acoustics and wave theory. In simple terms, the first harmonic, also known as the fundamental frequency, is the lowest frequency produced by a vibrating object, such as a string or an air column. It serves as the foundation for all other harmonics, which are integer multiples of this frequency. Understanding the first harmonic is essential for musicians, sound engineers, and anyone interested in the science of sound.When a musical instrument is played, it produces a complex sound wave that consists of multiple frequencies. The first harmonic is the primary tone that we hear, while the other harmonics contribute to the timbre or quality of the sound. For example, when a guitar string is plucked, the first harmonic is the note that is perceived, but there are additional harmonics that add richness and depth to the sound. These harmonics are what make each instrument unique, even if they play the same note.In physics, the first harmonic can be described mathematically. For a string fixed at both ends, the first harmonic occurs when the string vibrates in one complete wave cycle. The wavelength of this fundamental frequency is twice the length of the string. This relationship is crucial for understanding how different instruments are constructed and tuned. For instance, changing the length of a string will alter its first harmonic frequency, which is why guitarists can adjust the pitch by pressing down on the frets.Moreover, the first harmonic plays a significant role in various applications beyond music. In engineering, understanding the first harmonic is vital for designing structures that can withstand vibrations. For example, buildings and bridges must be engineered to avoid resonating with the first harmonic of external forces, such as wind or earthquakes. If the natural frequency of a structure aligns with the first harmonic of these forces, it can lead to catastrophic failures.In addition to its importance in music and engineering, the first harmonic is also relevant in the study of acoustics in nature. For instance, the sounds produced by animals often include a fundamental frequency that corresponds to their first harmonic. This frequency can be crucial for communication, mating calls, and territory establishment among species. Researchers studying animal behavior often analyze these frequencies to understand social interactions and environmental adaptations.To summarize, the first harmonic is a vital concept that transcends multiple disciplines, including music, physics, engineering, and biology. Its significance lies in its foundational role in sound production and analysis. By grasping the principles surrounding the first harmonic, one can gain a deeper appreciation for the complexity of sound and its impact on both our daily lives and the natural world. Whether you are a musician tuning an instrument, an engineer designing a resilient structure, or a biologist observing animal communication, the first harmonic remains an essential aspect of your work. Understanding this concept not only enhances our knowledge of sound but also enriches our appreciation for the intricate relationships between frequency, vibration, and the world around us.

在声学和波动理论领域，第一谐波的概念是基础性的。简单来说，第一谐波，也称为基频，是由振动物体（如弦或空气柱）产生的最低频率。它是所有其他谐波的基础，这些谐波是该频率的整数倍。理解第一谐波对音乐家、音响工程师以及任何对声音科学感兴趣的人来说都是至关重要的。当乐器演奏时，它会产生包含多个频率的复杂声波。第一谐波是我们听到的主要音调，而其他谐波则有助于声音的音色或质量。例如，当吉他弦被拨动时，第一谐波是被感知的音符，但还有其他谐波为声音增添了丰富性和深度。这些谐波使每种乐器独特，即使它们演奏相同的音符。在物理学中，第一谐波可以通过数学方式描述。对于两端固定的弦，第一谐波发生在弦以一个完整的波动周期振动时。该基频的波长是弦长度的两倍。这种关系对于理解不同乐器的构造和调音至关重要。例如，改变弦的长度将改变其第一谐波频率，这就是为什么吉他手可以通过按下品位来调整音高。此外，第一谐波在音乐和工程之外的各种应用中也发挥着重要作用。在工程学中，理解第一谐波对于设计能够承受振动的结构至关重要。例如，建筑和桥梁必须经过工程设计，以避免与外部力量（如风或地震）的第一谐波共振。如果结构的自然频率与这些力量的第一谐波对齐，可能会导致灾难性的失败。除了在音乐和工程中的重要性，第一谐波在自然声学研究中也相关。例如，动物产生的声音通常包括与其第一谐波相对应的基频。这种频率对于沟通、求偶叫声和物种间领土建立至关重要。研究动物行为的研究人员通常分析这些频率，以理解社会互动和环境适应。总之，第一谐波是一个跨越多个学科的重要概念，包括音乐、物理学、工程学和生物学。它的重要性在于其在声音产生和分析中的基础性角色。通过掌握围绕第一谐波的原则，人们可以更深入地欣赏声音的复杂性及其对我们日常生活和自然世界的影响。无论你是调音的音乐家、设计坚固结构的工程师，还是观察动物交流的生物学家，第一谐波始终是你工作的一个重要方面。理解这一概念不仅增强了我们对声音的知识，也丰富了我们对频率、振动与周围世界之间复杂关系的欣赏。