Vibration Control of Toroidal Shells With Parallel and Diagonal Piezoelectric Actuators

Abstract

Effective control of toroidal shells, e.g., cooling tubes, space colonies, inflatable space structures, etc., enhances their operational precision, accuracy, and reliability. Dynamics and control effectiveness of toroidal shell panels laminated with distributed piezoelectric sensor/actuator layers are investigated in this study. Mathematical model and finite element formulations of piezo(electric)-elastic shell structures are presented. Element and system matrix equations of the piezoelastic shell structronic (sensor/actuator/structure/control) system are defined and the system equations reveal the coupling of mechanical and electric (or control) fields. Free vibration analyses of two toroidal shells are investigated and compared favorably with published data. Two sensor/actuator configurations based on identical sensor/actuator sizes, namely the parallel configuration and the diagonal configuration, laminated on the toroidal shell are investigated and analysis data suggest that the diagonal configuration provides better control effects, as compared with the parallel configuration. The parallel configuration is ineffective to anti-symmetrical modes; the diagonal configuration is effective to most natural modes and ineffective to quad-anti-symmetrical modes with respect to the panel center.

Smart Materials, Precision Sensors/Actuators, Smart Structures, and Structronic Systems

“…Examples include aerospace/aircraft structures [27,28], robot manipulators [29], vibration controls and isolations, high-precision devices, microsensors/actuators, thin-film MEMS [30], health monitoring [31], microdisplacement actuation and control [25], and so on. Additional applications in smart structures and structronic systems encompass distributed structural control [16,[32][33][34][35][36], rotor dynamics control [37], self-sensing actuators [38][39][40], orthogonal modal sensors/actuators [41][42][43], space truss members [44], noise control [45], vibration isolators [46], active constrained damping [47], morphing of wings and blades [48], microscopic neural-sensing and actuation characteristics of conical, paraboloidal, toroidal and spherical structronic shells [49][50][51][52][53][54][55], and so on. Other recent practical applications include piezoelectrically damped skis, control of aeroelastic wing flutter, optical metering truss control, helicopter blade control, noise reduction, biomedical applications, and ultrasonic motors [56][57][58][59][60][61].…”

Vibration control of composite shells using embedded actuating layers

“…Reddy [15], Reddy and Barbosa [16], Pradhan et al [17], Ang et al [18], Marfia et al [19] and Lee et al [20] presented finite element formulations and analytical solutions for simply supported boundary conditions of laminated composite beams and plates with embedded active layers. Tzou and Wang [21] investigated the vibration control of toroidal shells with parallel and diagonal piezoelectric actuators. Very little information is available on the studies of magnetostrictive embedded shells.…”