Mechanical Vibrations, Modal Analysis & Industrial Instrumentation

Continuous Beam Modal Analysis: Determine bending shapes, compare cantilever properties (Steel, Aluminum, Titanium), and inspect non-moving nodal points where deflection drops to zero. Passive Mass Isolation & Anti-Resonance: Tune a secondary absorber ($k_2/m_2$) to match machine excitation ($\omega$), generating an out-of-phase force that stops the primary mass ($X_1 = 0$). Whirling & Critical Rotor Speeds: Identify the threshold where shaft speed matches natural frequency, and study self-centering ($e \to C$) at supercritical velocities. ISO 10816 Severity Gauging: Measure RMS velocity ($v_{\text{rms}}$) across varying forcing conditions to determine equipment safety zones. Fourier & Bode Analysis: Correlate time waveforms with peak spectral frequencies and transmissibility curves using DSA instrumentation.