Mechanics of Advanced Materials and Structures 2026, 33(1), 2468375

Keywords: Piezoelectric cantilever beam, active vibration control, piezoelectric stack actuator, optimized layout design, LQR

Piezoelectric materials are utilized in active vibration control (AVC) because of their high output force, fast response, and small size. The vibration suppression of lightweight structures based on piezoelectric materials has been intensively studied, but vibration control for high-stiffness heavy structures is rare. In this work, a novel piezoelectric cantilever beam structure characterized by a large size, high mass and high stiffness was designed. It incorporates a new type bending moment piezoelectric stack actuator, which features an exceptionally high output bending moment, as well as reliability and maintainability in harsh environments. On the basis of the structure of the piezoelectric stack actuator, an equivalent mechanical model of the actuator was derived. The statespace equation of the piezoelectric cantilever beam was subsequently obtained, and a new linear quadratic regulator (LQR) was designed. On the basis of the controllability criterion and modal force maximization criterion, an optimized layout design of the piezoelectric cantilever beam was completed and experimentally validated on a large, heavy and stiff piezoelectric cantilever beam. This work provides a solid theoretical and experimental basis for the application of small-strain, high-stress piezoelectric materials in the vibration suppression of high-stiffness heavy cantilever structures.

Jianlong Gao, Pengxiang Zhao, Xudong Zhang, Weikai Shi, Yaxiang Sun, Xin Lan, Yanju Liu, Jinsong Leng

Active vibration control of high-stiffness heavy cantilever beam based on piezoelectric stack actuators.pdf