An electrostatic-elastic membrane system with an external pressure
نویسندگان
چکیده
An elastic membrane subject to an external pressure and electrostatic force is considered. The resulting elliptic problem is analyzed for the strip and disk geometry. The structure of the solution set is explored with the aid of phase plane techniques, perturbation methods, and bifurcation analysis. In each case, the stability of the solution is determined using linear stability theory with the aid of the bifurcation diagram. © 2011 Elsevier Ltd. All rights reserved.
منابع مشابه
On the Stability of an Electrostatically-Actuated Functionally Graded Magneto-Electro-Elastic Micro-Beams Under Magneto-Electric Conditions
In this paper, the stability of a functionally graded magneto-electro-elastic (FG-MEE) micro-beam under actuation of electrostatic pressure is studied. For this purpose Euler-Bernoulli beam theory and constitutive relations for magneto-electro-elastic (MEE) materials have been used. We have supposed that material properties vary exponentially along the thickness direction of the micro-beam. Gov...
متن کاملDesign and Modeling of a New Type of Tactile Sensor Based on the Deformation of an Elastic Membrane
This paper presents the design and modeling of a flexible tactile sensor, capable of detecting the 2D surface texture image, contact-force estimation and stiffness of the sensed object. The sensor is made of polymer materials. It consists of a cylindrical chamber for pneumatic actuation and a membrane with a mesa structure. The inner radius of the cylindrical chamber is 2cm and its outer radius...
متن کاملBuckling Analysis of a Double-Walled Carbon Nanotube Embedded in an Elastic Medium Using the Energy Method
The axially compressed buckling of a double-walled carbon nanotabe surrounded by an elastic medium using the energy and the Rayleigh-Ritz methods is investigated in this paper. In this research, based on the elastic shell models at nano scale, the effects of the van der Waals forces between the inner and the outer tubes, the small scale and the surrounding elastic medium on the critical bucklin...
متن کاملStudy Of Thermoelastic Damping in an Electrostatically Deflected Circular Micro-Plate Using Hyperbolic Heat Conduction Model
Thermoelastic damping (TED) in a circular micro-plate resonator subjected to an electrostatic pressure is studied. The coupled thermo-elastic equations of a capacitive circular micro plate are derived considering hyperbolic heat conduction model and solved by applying Galerkin discretization method. Applying complex-frequency approach to the coupled thermo-elastic equations, TED is obtained for...
متن کاملElasto-plastic solution for thick-walled spherical vessels with an inner FGM layer
Purely elastic, partially and fully plastic stress states in a thick-walled spherical pressure vessel with an inner functionally graded material (FG) coating subjected to internal and external pressures are developed analytically in this paper. The modulus of elasticity and the uniaxial yield limit of the FG coating layer are considered to vary nonlinearly through the thickness. Using Tresca’s ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Mathematical and Computer Modelling
دوره 54 شماره
صفحات -
تاریخ انتشار 2011