momentrespons

Momentrespons is a term used to describe the time-dependent reaction of a mechanical or structural system to an applied moment (torque). It represents the rotational analogue of impulse and step responses in translational systems and is studied within rotational dynamics, vibration analysis, and control theory. The concept is used to characterize how angular displacement, velocity, or acceleration respond when a torque input is applied.

In a typical single-degree-of-freedom rotational model, a system with moment of inertia J, damping B, and rotational stiffness K obeys the equation J d^2θ/dt^2 + B dθ/dt + K θ = T(t), where θ is the angular displacement and T(t) is the applied torque. The momentrespons can be described by transfer functions such as Θ(s)/T(s) or T(s)/Θ(s), depending on whether the focus is on the angle response or the torque response. The unit torque impulse δ(t) defines the momentimpulse response, while a step torque input yields the step response in angle and velocity.

Measurement and identification methods involve torque sensing, rotary encoders or gyroscopes, and system identification techniques to estimate J, B, and K. Applications span robotics and actuators, biomechanical joints analysis, vibration assessment of civil or aerospace structures, and any domain where rotational loads drive dynamic behavior.

Terminology note: momentrespons is not a widely standardized English term; in many texts it is described as the torque or rotational impulse response. The underlying concepts align with impulse response, transfer functions, and rotational dynamics.