Deflection model for corner-supported plates with segmented in-plane actuators

Abstract

The shape control of flexible mirrors has been studied mainly for edge-supported thin-plate configurations. For applications such as optical reflectors, corner-supported configurations, which allow for paraboloidal geometries, prove more applicable. Moreover, the use of corner supports enables more flexibility and larger achievable deflections than with edge supports. This paper discusses a corner-supported thin rectangular plate actuated by a two-dimensional array of segmented piezoelectric laminated actuators. First, a model determining the deflected shape of a laminate for a given distribution of voltages over the actuator array is derived. Second, the results of the model are shown to agree well with a finite element simulation of the structure. Finally, paraboloidal deflection of a rectangular PVDF laminate is investigated.

Analytical modeling and simulation of a multifunctional segmented lithium ion battery unimorph actuator

“…In related work on unimorph and bimorph actuators, electroactive polymers [15,16], piezoelectric materials [17][18][19][20][21][22][23][24], and electromagnetic actuators [25] have been considered. These are sometimes modeled for 2D cases with both ends clamped [23], though 3D piezoelectric actuation has been considered as well [19,20]. However, a 1D beam model allows for very low computational cost (e.g.…”

“…Among the models used for analysis of segmented beams, there are typically two modeling approaches, analytical [9,12,16] and FEA methods; combinations of both have also been considered [19][20][21].…”

Shape and vibration control of active laminated plates for RF and optical applications

“…Substituting the orthotropic properties of PVDF film in equations (16), (17) and (18) we could look at some simple shapes emanating from different electric fields, applied at different parts of the laminated plate. Figure 2 a and b show the deflection of plates due to electric fields applied at different parts of the laminated plate.…”

“…Because this research assumes the orthotropic properties of the PVDF film in developing the model it is expected that the results will be more accurate and realistic thereby increasing the practicality of implementation. Recently research has been conducted for the quasi-static shape control of the laminate [14,15,16]. The primary aim of this research is to include the dynamic case thus controlling the vibration and shape of the laminated plate.…”