Transient responses of laminated anisotropic piezothermoelastic plates and cylindrical shells with interfacial diffusion and sliding in cylindrical bending

2018 ◽  
Vol 24 (4) ◽  
pp. 1065-1090 ◽  
Author(s):  
Xu Wang
Keyword(s):  
Exact Solution ◽  
State Space ◽  
Relaxation Times ◽  
The State ◽  
Laminated Plate ◽  
Interfacial Diffusion ◽  
Cylindrical Bending ◽  
Simply Supported ◽  
Elegant Method ◽  
Space Equation

With aid of the Stroh-type formalism and the state-space approach, a simple and elegant method is presented to obtain an exact solution for the time-dependent problem of a simply-supported laminated anisotropic piezothermoelastic plate in cylindrical bending with interfacial diffusion and sliding. The Stroh-type formalism is used to obtain the general solution of the thermoelectroelastic field in a certain layer. The state-space equation is then constructed for a laminated plate. The relaxation times and the transient thermoelectroelastic response of the laminated plate can be determined by solving the state-space equation via an analysis of a generalized eigenvalue problem. By using a similar method, we also derive an exact solution for a simply-supported laminated anisotropic piezothermoelastic cylindrical shell with interfacial diffusion and sliding under cylindrical bending.

Transient response of bilayered elastic strips with interfacial diffusion and sliding in cylindrical bending

2017 ◽  
Vol 23 (5) ◽  
pp. 748-774 ◽  
Author(s):  
Xu Wang ◽  
Cuiying Wang
Keyword(s):  
Elastic Property ◽  
Lower Layer ◽  
Relaxation Times ◽  
Elastic Field ◽  
External Loading ◽  
Interfacial Diffusion ◽  
Cylindrical Bending ◽  
Approach Infinity ◽  
Interface Parameters ◽  
Film Substrate

Time-dependent deformations of bilayered elastic strips with interfacial diffusion and sliding in cylindrical bending are studied. A film–substrate system is also addressed by letting the thickness of one layer approach infinity. Our solution clearly indicates that the stresses and displacements in the strip evolve with two relaxation times when its upper surface is subjected to a sinusoidal pressure. Explicit and elementary expressions of the relaxation times are derived. The steady-state displacement jumps across the interface are found independent of the elastic property and thickness of the lower layer free of external loading. When the film is extremely thin, the relaxation times are independent of the elastic property of the substrate; when the film is extremely thick, the relaxation times are found independent of the film thickness. Detailed numerical results are presented to show the influence of the material, geometric and interface parameters on the relaxation times and on the evolving displacements and stresses in the strip or in the film–substrate system. Finally, the state-space method is proposed to determine the transient elastic field in simply supported multilayered elastic strips with interfacial diffusion and sliding under thermomechanical loads.

Static analysis of cross-ply laminated plate with integrated surface piezoelectric layers

2007 ◽  
Vol 221 (9) ◽  
pp. 999-1007
Author(s):  
A Alibeigloo ◽  
M Shakeri
Keyword(s):  
Fourier Series ◽  
Mechanical Behaviour ◽  
Analytical Study ◽  
Fourier Series Expansion ◽  
Laminated Plate ◽  
State Equations ◽  
Simply Supported ◽  
Piezoelectric Layers ◽  
Piezoelectric Effects ◽  
Space Equation

Analytical study of the piezoelastic behaviour of a laminated rectangular plate with piezoelectric layers and finite length is presented. The solution is obtained applying Fourier series expansion to the state-space equation. The plate is assumed to be simply supported at four edges. The stress, displacement, and electric potential distributions are obtained by solving these state equations. Both the direct and the inverse piezoelectric effects are investigated and the influence of pizieoelectric layers on the mechanical behaviour of plate is studied. The method is validated by comparing numerical results of the plate without piezoelectric layers with that available in the literature.

scholarly journals A High-Efficient Finite Difference Method for Flexible Manipulator with Boundary Feedback Control

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Fushou Liu ◽  
Dongping Jin
Keyword(s):  
Feedback Control ◽  
Boundary Conditions ◽  
State Space ◽  
The State ◽  
Flexible Manipulator ◽  
Boundary Feedback Control ◽  
Pde Model ◽  
Boundary Feedback ◽  
High Efficient ◽  
Space Equation

The paper presents a high-efficient finite difference method for solving the PDE model of the single-link flexible manipulator system with boundary feedback control. Firstly, an abstract state-space model of the manipulator is derived from the original PDE model and the associated boundary conditions of the manipulator by using the velocity and bending curvature of the flexible link as the state variables. Then, the second-order implicit Crank-Nicolson scheme is adopted to discretize the state-space equation, and the second-order one-sided approximation is used to discretize the boundary conditions with excitations and feedback control. At last, the state-space equation combined with the boundary conditions of the flexible manipulator is transformed to a system of linear algebraic equations, from which the response of the flexible manipulator can be easily solved. Numerical simulations are carried out to simulate the manipulator under various excitations and boundary feedback control. The results are compared with ANSYS to demonstrate the accuracy and high efficiency of the presented method.

Cylindrical bending analysis of a layered two-dimensional piezoelectric quasicrystal nanoplate

2018 ◽  
Vol 29 (12) ◽  
pp. 2660-2676 ◽  
Author(s):  
Yang Li ◽  
Lianzhi Yang ◽  
Yang Gao ◽  
Ernian Pan
Keyword(s):  
Exact Solution ◽  
Piezoelectric Effect ◽  
Nonlocal Parameter ◽  
Nonlocal Theory ◽  
Stacking Sequence ◽  
Two Dimensional ◽  
Cylindrical Bending ◽  
Simply Supported ◽  
Propagator Matrix ◽  
Numerical Modeling And Simulation

The piezoelectric effect is a significant property of quasicrystal. In this article, the exact solution is derived for a layered piezoelectric quasicrystal nanoplate with nonlocal effect in cylindrical bending. Based on the nonlocal theory and the pseudo-Stroh formalism, the exact solution for a homogeneous simply supported nanoplate is obtained. With the aid of the propagator matrix, the exact solution for a multilayered nanoplate is achieved. Numerical examples are carried out to reveal the influences of span-to-thickness ratio, nonlocal parameter, and stacking sequence on piezoelectric quasicrystal nanoplates with their top surface subjected to two loadings. One is a z-direction mechanical loading and the other is an electric potential loading. These results can be served as benchmarks for the design, numerical modeling, and simulation of layered two-dimensional piezoelectric quasicrystal nanoplates under cylindrical bending.

scholarly journals Vibration control of a lead zirconate titanate structure considering controller–structure interactions

2018 ◽  
Vol 37 (4) ◽  
pp. 1201-1218 ◽  
Author(s):  
Xingjian Dong ◽  
Zhike Peng ◽  
Guang Meng
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
State Space Model ◽  
Element Model ◽  
The State ◽  
Laminated Plate ◽  
Space Model ◽  
Model Based ◽  
The Finite Element Model

This study focuses on integrating an active vibration controller into the finite element model of a piezoelectric laminated plate with the controller–structure interactions considered. A finite element model of a piezoelectric laminated plate is formulated using the third-order shear deformation theory. A state-space model is set up by performing a system identification technique. The state-space model is then used to design an optimal vibration controller. Considering that the finite element model is more appropriate than state-space model for dynamic simulation, the state-space model-based controller is integrated into the finite element model to capture the controller–structure interactions. The results obtained by applying vibration controller in state-space model are also presented to make a comparison. It is numerically demonstrated that the controller–structure interactions occur and cause performance degradation in case that the state-space model-based controller works with the finite element model. There is no prior guarantee that a state-space model-based controller satisfying the control requirements still works well in closed loop with the finite element model. The results of this study can be used to evaluate the controller performance for the piezoelectric smart structures during the preliminary design stage.

Modified ANN Inverse Compensating Method for Two-Dimensional Sensor

2013 ◽  
Vol 303-306 ◽  
pp. 266-269
Author(s):  
Yu Han Ding ◽  
Guo Hai Liu ◽  
Xian Zhong Dai
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
State Space ◽  
Dynamic Performance ◽  
The State ◽  
Two Dimensional ◽  
Modified Method ◽  
Artificial Neural ◽  
Space Equation

To improve the dynamic performance of the two-dimensional sensors, we presented a modified ANN (artificial neural network) inverse compensating method. The modified method is based on the state-space equation, which can fully describe the complex sensor and make the obtained inverse compensator more accurate, as well as decrease the derivative orders appeared in the inverse compensator. Simulation result verifies the modified compensator is more suitable to be used to compensate the complex two-dimensional sensor and the compensating result of the modified method is better that of the unmodified one.

Modeling of CCLP in koryo extract production

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ji Chol ◽  
Ri Jun Il
Keyword(s):  
Process Control ◽  
Medical Care ◽  
State Space ◽  
State Space Model ◽  
The State ◽  
Space Model ◽  
Effective Components ◽  
Counter Current

Abstract The modeling of counter-current leaching plant (CCLP) in Koryo Extract Production is presented in this paper. Koryo medicine is a natural physic to be used for a diet and the medical care. The counter-current leaching method is mainly used for producing Koryo medicine. The purpose of the modeling in the previous works is to indicate the concentration distributions, and not to describe the model for the process control. In literature, there are no nearly the papers for modeling CCLP and especially not the presence of papers that have described the issue for extracting the effective components from the Koryo medicinal materials. First, this paper presents that CCLP can be shown like the equivalent process consisting of two tanks, where there is a shaking apparatus, respectively. It allows leachate to flow between two tanks. Then, this paper presents the principle model for CCLP and the state space model on based it. The accuracy of the model has been verified from experiments made at CCLP in the Koryo Extract Production at the Gang Gyi Koryo Manufacture Factory.

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