Distributed Modal Voltages of Nonlinear Paraboloidal Shells With Distributed Neurons

Abstract

Effective health monitoring and distributed control of advanced structures depends on accurate measurements of dynamic responses of elastic structures. Conventional sensors used for structural measurement are usually add-on “discrete” devices. Lightweight distributed thin-film piezoelectric neurons fully integrated (laminated or embedded) with structural components can serve as in-situ sensors monitoring structure’s dynamic state and health status. This study is to investigate modal voltages and detailed signal contributions of linear or nonlinear paraboloidal shells of revolution laminated with piezoelectric neurons. Signal generation of distributed neuron sensors laminated on paraboloidal shells is defined first, based on the open-voltage assumption and Maxwell’s principle. The neuron signal of a linear paraboloidal shell is composed of a linear membrane component and a linear bending component; the signal of a nonlinear paraboloidal shell is composed of nonlinear and linear membrane components and a linear bending component due to the von Karman geometric nonlinearity. Signal components and distributed modal voltages of linear and nonlinear paraboloidal shells with various curvatures and thickness are investigated.

Micro-Electromechanics of Sensor Patches of Free Paraboloidal Shell Structronic Systems

“…For paraboloidal shells with free boundary, the sensors placed near or at the shell free rim contribute excellent sensing efficiency. An earlier study of patch-sensor efficiency of simply supported paraboloidal shells indicates that the most effective location is near the shell pole [15]. 4.…”

“…The membrane and bending strains of non-linear paraboloidal shells of revolution, including the von Karman geometric non-linearity [17,18], are respectively derived as [15] where u f ; u c and u 3 represent the displacement in f-direction, c-direction and transverse direction, respectively. When the bending approximation (i.e.…”

“…However, distributed sensing of paraboloidal shell structures is rarely investigated over the years. Distributed sensing behaviour of paraboloidal shells with simply supported boundary is just studied recently [15]. To further understand the micro-electromechanical sensing behaviour of paraboloidal structronic shells, in this study, formulation of distributed sensing signal equations for paraboloidal shells with free boundary condition and sensing signal equations for segmented sensor patch are presented.…”

Neural potentials and micro-signals of non-linear deep and shallow conical shells

“…Distributed sensing characteristics of rings, cylindrical shells, toroidal shells, paraboloidal shells, etc. have been evaluated [16][17][18][19][20]. However, distributed sensing and control of conical shells have not been thoroughly investigated.…”

Signal analysis of flexoelectric transducers on rings

“…Although distributed sensing of various shells, e.g., paraboloidal, cylindrical, spherical, conical, toroidal, etc. shells, with piezoelectric sensors have been evaluated over the years [17][18][19][20][21][22][23][24][25][26][27], flexoelectric sensing characteristics of shells have not been investigated before. Thus, this study focuses on applications of the direct flexoelectric effect to distributed signal analysis of various segmented flexoelectric sensors laminated on rings.…”