A mixed multi-field finite element formulation for thermopiezoelectric composite shells

Semi-analytical wave characteristics analysis of graphene-reinforced piezoelectric polymer nanocomposite cylindrical shells

Transient response of rotating laminated functionally graded cylindrical shells in thermal environment

Finite element modeling and analysis of low symmetry piezoelectric shells for design of shear sensors

Dynamic asymmetry of piezoelectric shell structures

In this article, we discuss the modelling of elastic and electromagnetic wave propagation through one‐dimensional and two‐dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of stop bands are studied in detail. We will also analyse the reflection and transmission associated with the problem of scattering of an elastic wave by a heterogeneous piezoelectric stack. Special attention is given to the occurrence of transmission resonances in finite stacks and their dependence on a piezoelectric effect. A two‐dimensional doubly periodic piezoelectric checkerboard structure is subsequently introduced, for which the dispersion surfaces for Bloch waves have been constructed and analysed, with the emphasis on the dynamic anisotropy and special features of standing waves within the piezoelectric structure. Copyright © 2016 John Wiley & Sons, Ltd.

Previously developed analytical formulations are extended to incorporate thermal effects in order to account for the coupled mechanical, electrical, and thermal response of piezoelectric composite laminates and plate structures. A layerwise laminate theory is developed with the inherent capability to model both the active and sensory responses of piezoelectric composite plates with general laminations, and is implemented for a bilinear 4-noded plate element. Numerical results demonstrate the capability to actively manage the thermally induced bending and twisting deformation in symmetric and antisymmetric composite plates with piezoelectric actuators. Results from the current formulation are also compared with previous data. The predicted corresponding response of piezoelectric sensors and the resultant interlaminar and intralaminar stresses in the piezoelectric composite laminate are also investigated.

The nonlinear vibration behavior of the spiral stiffened multilayer functionally graded (SSMFG) cylindrical shells with initial imperfection exposed to axial parametric and external excitation in the thermal environment is presented in this paper using a semi-analytical method. The distribution of temperature and material constitutive of the stiffeners along the direction of thickness is assumed. The cylindrical shell consists of three layers, the interior and exterior layer is respectively rich metal and ceramic, and the middle layer is functionally graded material (FGM). Using the smeared stiffeners technique, von Kármán equations, and the Galerkin method, the nonlinear vibration problem has been solved. Then, utilizing the multiple scales method, the nonlinear vibration behavior of the system is examined. The resonant case, including internal parametric resonance among three modes and subharmonic resonance of order one-half, is considered. The results show that although the trend of all figures is approximately like together, but the maximum amplitude vibration of the internal SSMFG cylindrical shell with the angle of stiffeners and the external SSMFG cylindrical shell with the angle of stiffeners is more than others.

Postbuckling analysis of axially-loaded functionally graded cylindrical shells in thermal environments

Functionally graded materials is a new material for thermal protection in the aerospace field. It is extremely important to study the temperature and stress changes in the thermal environment to ensure the normal operation of the spacecraft and the safety of crews. In this paper, ABAQUS is used to perform sequential thermal coupling and full thermal coupling analysis. The temperature variation and mechanical properties of functionally graded cylindrical shells in thermal environment under temperature and force field and temperature field interacts with force field are studied. Based on the first law of thermoelasticity and thermodynamics, the three-dimensional stress and energy equations of functionally graded cylindrical shells in thermal environment are derived. The example shows that the temperature variation law and mechanical characteristics of the two types of thermo-mechanical coupling analysis are almost the same. The temperature value results of the sequential thermal-mechanical coupling analysis are the same as the results of the full thermal coupling, but the stress value results are lower than the results of the full thermal coupling.

Nonlinear resonance behavior of functionally graded cylindrical shells in thermal environments

Three-dimensional free vibration analyses of functionally graded laminated shells under thermal environment by a hierarchical quadrature element method

Influences of large deformation and rotary inertia on wave propagation in piezoelectric cylindrically laminated shells in thermal environment

This paper presents the results of active control design and its experimental implementation for the vibration suppression of a piezoelectric funnel-shaped shell structure. The controller design is a model-based one: optimal LQ control modified by the introduction of additional dynamics in order to face the periodic sinusoidal excitations/disturbances. Design of the controller, in terms of determining the controller parameters as well as the parameters of the Kalman filter used for the estimation of the unmeasurable state variables, is based on the state space model obtained through a subspace-based identification approach. The results of the single-input single-output (SISO) and the multiple-input multiple-output (MIMO) control are presented in the time domain, together with the frequency response functions obtained from the measurements and based on the identified models for selected actuator/sensor pairs. Implementation of the active control results in suppression of the vibration magnitudes. Copyright © 2005 John Wiley & Sons, Ltd.

A layerwise finite element formulation for free vibration analysis of functionally graded sandwich shells

The frequency-dependent free-field open-circuit voltage generated by radially polarized piezoelectric ceramic fluid-filled shells of infinite length coated with an elastic layer and excited by a plane acoustic wave is studied. The shell and the coating are of arbitrary thickness and are anisotropic. It is shown that the charge density in the piezoelectric shell is zero by using the electrostatic and open-circuit conditions. General expressions for the pressures and radial velocities in the interior and exterior fluids are obtained by using the finiteness and radiation conditions, respectively. General expressions for the radial stresses and velocities in the piezoelectric shell and elastic coating are also determined by using two-dimensional equations of state and axisymmetric equations of motion. The coefficients in the general expressions are then determined by using the continuity conditions at the various interfaces. Finally, an expression for the open-circuit sensitivity is obtained by using a piezoelectric equation of state. Numerical results are presented for air, water, and vacuum in the interior, two types of elastic coating, and piezoelectric shells with various thicknesses. The effect of neglecting anisotropy on the sensitivity is also illustrated.