No abstract

The nonlocal nonlinear vibration analysis of embedded laminated microplates resting on an elastic matrix as an orthotropic Pasternak medium is investigated. The small size effects of micro/nano-plate are considered based on the Eringen nonlocal theory. Based on the orthotropic Mindlin plate theory along with the von Kármán geometric nonlinearity and Hamilton's principle, the governing equations are derived. The differential quadrature method (DQM) is applied for obtaining the nonlinear frequency of system. The effects of different parameters such as nonlocal parameters, elastic media, aspect ratios, and boundary conditions are considered on the nonlinear vibration of the micro-plate. Results show that considering elastic medium increases the nonlinear frequency of system. Furthermore, the effect of boundary conditions becomes lower at higher nonlocal parameters.

No abstract

No abstract

In the present work, nonlinear vibration analysis of polymeric nanocomposite microplates integrated with polyvinylidene fluoride (PVDF) layers as sensors and actuators is investigated. The middle layer is reinforced with carbon nanotubes (CNTs) and it's equivalent material properties are obtained by Mori–Tanaka approach. The nanocomposite and PVDF layers are subjected, respectively, to 2D magnetic and 3D electric fields. The system is rested on an elastic medium which is simulated with orthotropic Pasternak foundation. Based on the quasi‐3D sinusoidal shear deformation plate theory (SSDPT), the motion equations are derived considering surface effects using Gurtin–Murdoch theory. A partial‐differential (PD) controller is applied for the active control of the frequency through a closed‐loop control with bonded distributed PVDF sensors and actuators. Differential quadrature method (DQM) is applied in order to obtain the nonlinear frequency of microstructure. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, magnetic field, surface stress, elastic medium, volume percent of CNTs, applied voltage, controller, and boundary conditions on the vibration behavior of microstructure. Results depict that applying the controller, the frequency significantly decreases. This investigation may be important for the design and smart control of microdevices. POLYM. COMPOS., 39:1936–1949, 2018. © 2016 Society of Plastics Engineers