Optimal placement of piezoelectric actuator/sensor pairs for active vibration control of beams with different boundary conditions

Xin Yue Zhang ^[1] ; Jie Chen ^[1] ; Wei Zhang ^[1]
1. [1] Beijing University of Technology
  
  Beijing University of Technology
  
  China
Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 53, Nº. 3, 2025, págs. 2262-2279
Idioma: inglés
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Resumen
- The distribution of discrete piezoelectric patches critically influences the vibration control performance of beams. However, few studies have comprehensively addressed this issue for piezoelectric beams under different boundary conditions, especially when both traditional and optimal control strategies are considered. This paper investigates the optimal placement of piezoelectric actuator/sensor pairs for beams with cantilever, simply supported, and clamped boundary conditions, using a genetic algorithm (GA) based on the principle of minimum retained energy. The performance of active vibration control laws, including classical methods such as direct proportional feedback, constant gain negative velocity feedback, and model-based linear quadratic regulator (LQR) control, is thoroughly investigated.