声音是由于物体振动所产生的,能引起听觉的波.每一个音都是由许多纯音合成,纯音的数学模型是函数y=Asinωx,它是由单一简谐运动产生的乐音.其中A是振动的振幅,ω决定于振动的频率.音有四个要素:音调、响度、音长、音色.下面从这四个方面看看声音与正弦函数的关系.响度与声波的振幅有关,即与声波的能量有关.音调与声波的振动频率之间是一一对应的关 The sound is caused by the vibration of an object and can cause auditory waves. Each sound is synthesized by many pure sounds. The mathematical model of pure sound is the function y=Asinωx, which is the musical sound produced by a single harmonic motion. A is the vibration The amplitude, ω, is determined by the frequency of the vibration. The sound has four elements: pitch, loudness, length, and timbre. Let’s look at the relationship between the sound and the sine function from these four aspects. The loudness is related to the amplitude of the sound wave, ie, the sound wave The energy is related. There is a one-to-one correspondence between the pitch and the vibration frequency of the sound waves.