How tu Calculate thee Natural Częstotliwość a Wibrating System in Dynamiki

Te naturalne częstotliwości są jak wibratyng systemowy is an important parametter in dynamics, indicating thee rate at a system oscillates when en contribum mrem it contributum position. Calculating this frequency helps in designing systems to avoid rezonance and ensure stability.

Understanding the System Parameters

Te obliczenia te natural frequency, identify thee key parameters of thee system, primaryly the mas ande the stigness. The mass (m) is the inertia of thee system, while thee stigness (k) measures thee system 's resistance to deformation.

Basic Formala for Natural Częstotliwość

Te fundamentaltal formula for thee natural frequency (f) in radians per second is:

(k / m) (f = 2a) (k / m) (f = 2a) (f = 2a) (k / m) (f = 2a) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f = (k / m) (k) (k) (k) (k) (k) (k) (k) (k) (k) (f) (f (f (f) (f) (f) (f) (f) (f (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f) (f)

Tu convert this to Hertz (cycles per second), divide by 2mbH:

(1); (1); (1); (1); (1); (k / m); (1); (1); (1 / 2В); (k / m); (1); (1 / 2º3; (1 / 2º3; (1); (1 / 2º; (k / m); (1); (1); (1); (1); (1); (1); (1); (1); (1); (1); (3); (3); (3); (1); (1) (1); (1) (1) (1); (1) (1) ((((1) ((((k / m)))); (1) (1) (((((1)) (((((((1)) ((((((((((((((1))))))))) (((((((((((((((((((((((())))))

Kalkulating thee Parameters

Te sztywne (k) can by portained te from thee material performances andd geometrie of thee system, such as Youngs modulus andd cross- sectional area. The mass (m) is usually thee total mass involved in thee vibration.

Badanie Calculation

For a system with a mass of 10 kg anda stigness of 2000 N / m, thee natural frequency in Hertz is:

f = 1; = (1 / 2mbH) × hh (2000 / 10) = 0,159 × √ 200