System Configuration
Analysis Mode
Spring Arrangement
Number of Springs N
2
Applied Load F
100 N
Spring · Mass · Damper Parameters
—
k_eq [N/m]
—
Static δ_st [mm]
—
ω_n [rad/s]
—
Damping ratio ζ
—
c_cr [N·s/m]
Theory
Series: $\dfrac{1}{k_{eq}} = \displaystyle\sum_{i=1}^{N}\dfrac{1}{k_i}$ Parallel: $k_{eq} = \displaystyle\sum_{i=1}^{N} k_i$
Natural frequency: $\omega_n = \sqrt{\dfrac{k_{eq}}{m_{eq}}}$ Damping ratio: $\zeta = \dfrac{c_{eq}}{2\sqrt{k_{eq}\,m_{eq}}}$
Equation of motion (step load F): $m\ddot{x}+c\dot{x}+kx=F$ — solved via RK4
CAE Note: Use for preliminary sizing of automotive suspensions (ζ ≈ 0.3–0.4), anti-vibration mounts, seismic dampers, and machinery foundations. Verify results before full modal FEA in ANSYS or Abaqus.