A Lagrangian for von Karman equations of large deflection problem of thin circular plate

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Lagrangian for von Karman equations of large deflection problem of thin circular plate

By the semi-inverse method proposed by He, a Lagrangian is established for the large deflection problem of thin circular plate. Ritz method is used to obtain an approximate analytical solution of the problem. First order approximate solution is obtained, which is similar to those in open literature. By Mathematica a more accurate solution can be deduced. 2002 Elsevier Science Inc. All rights re...

متن کامل

New Method for Large Deflection Analysis of an Elliptic Plate Weakened by an Eccentric Circular Hole

The bending analysis of moderately thick elliptic plates weakened by an eccentric circular hole has been investigated in this article. The nonlinear governing equations have been presented by considering the von-Karman assumptions and the first-order shear deformation theory in cylindrical coordinates system. Semi-analytical polynomial method (SAPM) which had been presented by the author before...

متن کامل

The annulus problem, using a von Karman membrane model

These notes supplement Robert Kohn’s Lecture 3 at the 2014 PCMI Graduate Summer School. For background and heuristic arguments, see the pdf of that lecture. For physicsoriented discussions of this topic see [4] and [3]. For upper and lower energy bounds similar to those presented here but using nonlinear elasticity and a rather general membrane model see [1]. We want to study deformations of a ...

متن کامل

A Problem of Axisymmetric Vibration of Nonlocal Microstretch Thermoelastic Circular Plate with Thermomechanical Sources

In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresse...

متن کامل

A Bernstein Problem for Special Lagrangian Equations

where λis are the eigenvalues of the Hessian D 2u. Namely, any global convex solution to (1.1) in R must be a quadratic polynomial. Recall the classical result, any global convex solution in R to the Laplace equation △u = λ1+ · · ·+λn = c or the Monge-Ampère equation log detD2u = log λ1+ · · ·+ log λn = c must be quadratic. Equation (1.1) originates from special Lagrangian geometry [HL]. The (L...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied Mathematics and Computation

سال: 2003

ISSN: 0096-3003

DOI: 10.1016/s0096-3003(02)00383-1