Torsionsschwinger

Description: A torsional oscillator consists of a rotating mass m, which - due to the effect of a volute spring or Torsion bar, for example - is subject to a restoring moment $\overrightarrow{M}$about the axis of Rotation. The restoring moment $\overrightarrow{M}$ is proportional and acts in the opposite direction to the angle of a deflection $\overrightarrow{\varphi }$. With the directing moment D, the following applies: $\overrightarrow{M}=-D\cdot \overrightarrow{\varphi }$. The directing moment D is comparable to the spring constant c in a Spring-mass system. The unit is different, though, because the motion is rotational. A torsional oscillator's natural Angular frequency $\omega $ is calculated as follows: $\omega =\sqrt{\frac{D}{J}}$. The mass moment of inertia J appears in the same position in the formula as the mass m in the spring-mass system formula. The torsional oscillator's periodic time ${{T}_{0}}$ is the natural angular frequency $\omega $ multiplied by $2\pi $.