Solution of Fredholm Integrodifferential Equation for an Infinite Elastic Plate

نویسنده

  • Alaa A. El-Bary
چکیده

Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat’s functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Damped Vibrations of Parabolic Tapered Non-homogeneous Infinite Rectangular Plate Resting on Elastic Foundation (RESEARCH NOTE)

 In the present paper damped vibrations of non-homogeneous infinite rectangular plate of parabolically varying thickness resting on elastic foundation has been studied. Following Lévy approach, the equation of motion of plate of varying thickness in one direction is solved by quintic spline method. The effect of damping, elastic foundation and taperness is discussed with permissible range of pa...

متن کامل

EFFECT OF BOUNDARY CONDITIONS ON LOCALIZED INSTABILITY OF THE SEMI-INFINITE ORTHOTROPIC PLATE

This paper is concerned with an investigation into the localized instability of a thin elastic orthotropic semi-infinite plate. In this study, a semi-infinite plate, simply supported on two edges and under different boundary conditions of clamped, hinged, sliding contact and free on the other edge, is studied. A mathematical model is used and a general solution is presented. The conditions unde...

متن کامل

Rotary Oscillations of a Rigid Disc Inclusion Embedded in an Isotropic Elastic Infinite Space

M-This paper examines the asymmetric problem related to the harmonic oscillations of a rigid circular disc inclusion embedded in bonded contact with an isotropic elastic medium of infinite extent. The analysis of the problem is reduced to the solution of a single Fredholm integral equation of the second kind which is solved in an appropriate manner. The dynamic rotary stiffnesses are developed ...

متن کامل

Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations

In the present research paper we derive results about existence and uniqueness of solutions and Ulam--Hyers and Rassias stabilities of nonlinear Volterra--Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of ob...

متن کامل

Numerical Solution of Linear Fredholm Integro-Differential Equations by Non-standard Finite Difference Method

In this article we consider a non-standard finite difference method for numerical solution of linear Fredholm integro-differential equations. The non-standard finite difference method and the repeated / composite trapezoidal quadrature method are used to transform the Fredholm integrodifferential equation into a system of non-linear algebraic equations. The numerical experiments on some linear ...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004