Experimental study and numerical simulation of active vibration control of a highly flexible beam using piezoelectric intelligent material

Active Vibration Control and Coupled Vibration Analysis of a Parallel Manipulator with Multiple Flexible Links

“…11 : 12 = 1 : 0.312, 21 : 22 = 1 : 0.412, 31 : 32 = 1 : 0.355. (27) Since the unmodeled errors and parameter deviations are always existent in the theoretical model, the modal vibration energy calculated in simulation work is different from that obtained in the real-time test, and hence the optimized control gains in (27) are different from that calculated in simulation work (see (26)).…”

“…Using an efficient modal control (EMC) method which requires low control voltages and simple feedback gains, Singh et al [19] and Zhang et al [20] suppressed multiple vibration modes of a cantilever beam and a 3-PRR flexible parallel manipulator, respectively. Based on IMSC, Wu et al [21] experimentally studied the vibration control of the first three modes of a flexible cantilever beam. Derived from the relationship existing between the shape of the matrix and the possibility that the control forces are dissipative, a new approach to the synthesis of the modal controller is investigated by Braghin et al [22].…”

“…Since the main object is to damp the vibration, only the modal velocity feedback gains are determined to simplify the control procedure; namely, the modal position feedback gain in (20) is supposed to be zero. Using the pole assignment method and the EMC method, the initial values of 1 ( = 1, 2, 3) are calculated as 3.1, 3.5, and 3.4 N ⋅ s/m, and the modified ratios for the second and third mode of each flexible link are obtained from(24) as follows:11 : 12 : 13 = 1 : 0.345 : 0.045,21 : 22 : 23 = 1 : 0.304 : 0.041,31 : 32 : 33 = 1 : 0.321 : 0.038.…”

Vibration reduction in aerospace structures via an optimized modified positive velocity feedback control

“…PPF has also been used for H ∞ -based control design using position and velocity feedbacks [13]. Two other example approaches are independent modal space control [14] and a new consensus-based vibration controller [15]. In resonant vibrations of aerospace structures, the fatigue caused in transverse oscillations can become damaging.…”

Consideration of Spillover Effect in Active Vibration Suppression of a Smart Composite Plate Using Piezoelectric Elements

“…They have been considered as one of the promising candidates to be used for active vibration control of light-weight structures. Considering the properties of piezoelectric materials, active vibration control of structural beams, plates and shells using embedded or surface bonded piezoelectric sensors and actuators has been investigated in many researches (Schulz et al 2013;Vashist & Chhabra 2013;Wang et al 2001;Wu et al 2014). Considering the control of…”