Structural Health Monitoring with Piezoelectric Wafer Active Sensors, 2nd Edition

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5.5 Torsional Waves in a Shaft

Consider a uniform shaft of length l, mass torsional inertia per unit length $\rho I_0$, torsional stiffness $GJ$, undergoing torsional motion of displacement $\varphi (x,t)$ as shown in Figure 5.17a. An infinitesimal shaft element of length dx is subjected to the action of torsional moments (twisting moments or torques), ...