Revolutionary Complex Interactive Harmonic Oscillator

k_c ∈ ℂ

c_c ∈ ℂ

m_c ∈ ℂ

F_c(t)

Complex Mass (m_c = m_r + j⋅m_i)

Real Part (m_r)

1.0 kg

Imaginary Part (m_i)

0.0 kg

🔊 Re[m] Audio

🔊 Im[m] Audio

Complex Stiffness (k_c = k_r + j⋅k_i)

Real Part (k_r)

100 N/m

Imaginary Part (k_i)

0 N/m

🔊 Re[k] Audio

🔊 Im[k] Audio

Complex Damping (c_c = c_r + j⋅c_i)

Real Part (c_r)

6.0 N⋅s/m

Imaginary Part (c_i)

0.0 N⋅s/m

Enable Complex Damping

🔊 Re[c] Audio

🔊 Im[c] Audio

Force Frequency (ω)

Frequency (ω)

5.0 rad/s

System Behavior

PASSIVE

ωₙ,c = 10.0+0.0j rad/s (1.59+0.0j Hz) | ζ_c = 0.30+0.0j | Energy: PASSIVE | Time: 0.00 s | 🔊 Audio: ON

Pole₁ = -3.0+9.5j | Pole₂ = -3.0-9.5j | System: UNDERDAMPED | Re(ζ) > 0: ENERGY DISSIPATION

Audio Freq: Re = 441 Hz | Im = 882 Hz | Displacement: Re = 0.01 m | Im = 0.00 m

🌟 Revolutionary Complex Interactive Harmonic Oscillator