Active vibration control of lattice sandwich beams using the piezoelectric actuator/sensor pairs

Until now, few literatures on the active vibration control of lattice sandwich structures employing the piezoelectric materials have been published. Motivated from this, the active vibration control of sandwich beams with pyramidal lattice core is investigated in this paper. The piezoelectric materials are bonded on the top and bottom surfaces of the beam to act as the actuator and sensor. In the structural modeling, the discrete lattice truss core is converted to an equivalent homogenized continuum material. Hamilton's principle with the assumed mode method is used to develop the dynamical model of the structural systems. By using the standard eigenvalue methodology, the natural frequencies are obtained. The velocity feedback control method and a linear quadratic regulator (LQR) are used to design the controllers and actively suppress the vibration of the structural system. Frequency and time domain responses are computed to analyze the control effects on the sandwich beam with pyramidal lattice truss core. It is observed from the numerical simulation that the velocity feedback control and the LQR control methods both can effectively suppress the vibration of the lattice sandwich beam.