DampedSineCurve Class

public class DampedSineCurve : NonlinearCurve

Public Class DampedSineCurve
	Inherits NonlinearCurve

public ref class DampedSineCurve : public NonlinearCurve

type DampedSineCurve = 
    class
        inherit NonlinearCurve
    end

Inheritance

Object  →  Curve  →  NonlinearCurve  →  DampedSineCurve

Use the DampedSineCurve class to represent a five-parameter damped sinusoidal curve commonly encountered in physics and engineering when modeling oscillatory systems with damping.

A damped sine wave describes oscillations whose amplitude decreases exponentially over time, typical of systems with friction, resistance, or energy dissipation. Examples include the motion of a damped harmonic oscillator, RLC circuits, and mechanical vibrations.

The equation is:

Parameters:

• A – Initial amplitude (amplitude at x = 0). See Amplitude.
• k – Damping coefficient (rate of exponential decay). See DampingCoefficient.
• T – Period (determines oscillation rate). See Period.
• φ – Phase offset (horizontal shift of the oscillation). See PhaseOffset.
• C – Baseline offset (equilibrium position). See Offset.

Applications:

• RLC electrical circuits
• Mechanical vibrations and damped oscillators
• Seismic wave analysis
• Signal processing and decay analysis
• Acoustic resonance
• Quantum mechanics (wave packet decay)

For details on how to fit a curve of this type, see the NonlinearCurveFitter class.

Reference