Influence of different electrical boundary conditions on the elasticity solutions of piezoelectric plane beam

2013 ◽  
Vol 27 (12) ◽  
pp. 3825-3834
Author(s):  
Zhang Lang ◽  
Xuewu Li ◽  
Yuping Wang ◽  
Qiang Wang ◽  
Haibing Shi
Keyword(s):  
Boundary Conditions ◽  
Electrical Boundary Conditions ◽  
Elasticity Solutions ◽  
Piezoelectric Plane Beam

Exact Elasticity Solutions for Stresses and Deflections in Curved Beams and Rings of Exponential and T-Sections

1991 ◽  
Author(s):  
Cemil Bagci
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Plane Stress ◽  
Numerical Results ◽  
Neutral Axis ◽  
Curved Beams ◽  
Equilibrium Stress ◽  
Different Boundary Conditions ◽  
Stress Functions ◽  
Elasticity Solutions

Abstract Exact elasticity solutions for stresses and deflections (displacements) in curved beams and rings of varying thicknesses are developed using polar elasticity and state of plane stress. Basic forms of differential equations of equilibrium, stress functions, and differential equations of compatibility are given. They are solved to develop expressions for radial, tangential, and shearing stresses for moment, force, and combined loadings. Neutral axis location for each type of loading is determined. Expressions for displacements are developed utilizing strain-displacement relationships of polar elasticity satisfying boundary conditions on displacements. In case of full rings stresses are as in curved beams with properly defined moment loading, but displacements differ satisfying different boundary conditions. The developments for constant thicknesses are used to develop solutions for curved beams and rings with T-sections. Comparative numerical results are given.

scholarly journals Non-reciprocal behavior of one-dimensional piezoelectric structures with space-time modulated electrical boundary conditions

2019 ◽  
Vol 126 (14) ◽  
pp. 145108 ◽  
Author(s):  
C. Croënne ◽  
J. O. Vasseur ◽  
O. Bou Matar ◽  
A.-C. Hladky-Hennion ◽  
B. Dubus
Keyword(s):  
Boundary Conditions ◽  
Space Time ◽  
One Dimensional ◽  
Electrical Boundary Conditions ◽  
Piezoelectric Structures

scholarly journals Optimization of a Tunable Piezoelectric Resonator Using Phononic Crystals with Periodic Electrical Boundary Conditions

2015 ◽  
Vol 70 ◽  
pp. 258-261 ◽  
Author(s):  
Marie-Fraise Ponge ◽  
Bertrand Dubus ◽  
Christian Granger ◽  
Jérôme Vasseur ◽  
Mai Pham Thi ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Phononic Crystals ◽  
Piezoelectric Resonator ◽  
Electrical Boundary Conditions

Methods of Analysis for Very Thick-Walled Cylindrical Shells

1975 ◽  
Vol 97 (1) ◽  
pp. 175-181 ◽  
Author(s):  
J. R. Vinson
Keyword(s):  
Boundary Conditions ◽  
Wall Thickness ◽  
Shell Theory ◽  
Cylindrical Shells ◽  
Explicit Solutions ◽  
Axially Symmetric ◽  
Various Boundary Conditions ◽  
First Approximation ◽  
Methods Of Analysis ◽  
Elasticity Solutions

Methods of analysis are presented for very thick-walled cylindrical, isotropic shells subjected to axially symmetric lateral and in-plane loads. These methods are developed for shells with ratios of wall thickness to mean radius as large as 0.5, as well as being applicable for thin classical shells which involve Love’s First Approximation. The present methods are elasticity solutions and employ no shell theory assumptions. Explicit solutions are presented for the shell subject to in-plane loads and laterally distributed loads which are constant or varying linearly axially for various boundary conditions at the ends.

scholarly journals Properties ofPb(Zr,Ti)O3ultrathin films under stress-free and open-circuit electrical boundary conditions

2004 ◽  
Vol 70 (22) ◽  
Author(s):  
Emad Almahmoud ◽  
Yulia Navtsenya ◽  
Igor Kornev ◽  
Huaxiang Fu ◽  
L. Bellaiche
Keyword(s):  
Boundary Conditions ◽  
Open Circuit ◽  
Electrical Boundary Conditions

scholarly journals Models of the interaction between electrons and polar optical phonons in nanostructures

2016 ◽  
Vol 55 (4) ◽  
Author(s):  
Brian K. Ridley
Keyword(s):  
Boundary Conditions ◽  
Linear Combination ◽  
Optical Phonons ◽  
Coupled Mode ◽  
Electrical Boundary Conditions ◽  
Optical Modes ◽  
Simple Models

A brief summary is made of the models used to describe the interaction between electrons and polar optical phonons in nanostructures. Simpler models are compared with the model that describes optical modes that satisfy both mechanical and electrical boundary conditions. Satisfaction of these boundary conditions requires modes to be a linear combination (LC) of longitudinal (LO), transverse (TO) and interface (IF) modes. The role of lattice dispersion turns out to be crucial. If accuracy is not essential, the simple models can provide adequate results, provided that coupled-mode and hot-phonon effects are absent.

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