How does mass affect natural frequency?

omega_n = sqrt(k/m). Doubling mass reduces natural frequency by 1/sqrt(2) = 29%. Adding mass is an effective way to reduce structural resonance frequencies.

What is the difference between Hz and rad/s?

omega_n (rad/s) = 2*pi*f_n (Hz). Natural frequency in Hz = (1/2pi)*sqrt(k/m). Damped natural frequency: omega_d = omega_n * sqrt(1-zeta^2).

Vibration Natural Frequency from Mass-Stiffness

Calculate undamped natural frequency omega_n = sqrt(k/m) and damped natural frequency for single and multi-DOF spring-mass systems.

2D stress state at a point. All stresses in MPa.

σx — Normal Stress X (MPa)

σy — Normal Stress Y (MPa)

τxy — Shear Stress (MPa)

⚙ Mechanical Note: Results are based on standard textbook formulas and ISO/AASHTO references. Always verify critical designs with applicable codes (ISO 898, AASHTO 1993, AISC, Eurocode 3) and a qualified engineer.

How to Use

Enter the values for the patient or scenario you are assessing. Calculate undamped natural frequency omega_n = sqrt(k/m) and damped natural frequency for single and multi-DOF spring-mass systems. Use the natural frequency result to inform your clinical assessment.

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Frequently Asked Questions

How does mass affect natural frequency?

What is the difference between Hz and rad/s?