Approximate solution for bending of rectangular plates Kantorovich-Galerkin's method

1986 ◽  
Vol 7 (1) ◽  
pp. 87-102 ◽  
Author(s):  
Wang Lei ◽  
Li Jia-bao
Keyword(s):  
Approximate Solution ◽  
Rectangular Plates ◽  
Galerkin’S Method ◽  
Galerkin's Method

Stability of a Beam on an Elastic Foundation Subjected to a Nonconservative Load

1980 ◽  
Vol 47 (1) ◽  
pp. 116-120 ◽  
Author(s):  
Z. Celep
Keyword(s):  
Approximate Solution ◽  
Numerical Calculation ◽  
Elastic Foundation ◽  
Cantilever Beam ◽  
Numerical Study ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
The Common ◽  
The Stability

In this investigation, the influence of a Winkler type of elastic foundation on the stability of the cantilever beam subjected to a nonconservative load which consists of a vertical and a follower components is studied. In addition to the common transverse foundation modulus, a rotatory foundation modulus is considered. Approximate solution is obtained by using Galerkin’s method. Numerical calculation are reported and displayed for various combinations of the nonconservativeness parameter, transverse and rotatory modulus of the foundation, distance of the point of application of the load and that of the transverse spring. As a result of the numerical study unexpected feature of stability of the cantilever beam in contrast to the behavior of the column is identified.

Vibration and Post-buckling of In-Plane Loaded Rectangular Plates Using a Multiterm Galerkin’s Method

2002 ◽  
Vol 69 (5) ◽  
pp. 589-592 ◽  
Author(s):  
S. Ilanko
Keyword(s):  
Series Representation ◽  
Initial Imperfection ◽  
Normal Displacement ◽  
Rectangular Plates ◽  
Galerkin’S Method ◽  
Galerkin's Method ◽  
Edge Conditions ◽  
Post Buckling ◽  
The Difference ◽  
Shell Vibration

A procedure to calculate the natural frequencies of in-plane loaded, thin, slightly curved, simply supported rectangular plates is presented, with numerical results. This includes the solutions to von Karman’s static equilibrium equation and the linear shell vibration equation using Galerkin’s method. The compatibility equations are given in terms of Airy stress functions which satisfy the “shear free” and “constant normal displacement” in-plane edge conditions. This procedure is an extension to the method presented by Hui and Leissa, the difference being the use of a multiterm Fourier series representation for the initial imperfection, the static deflection and the vibratory modes.

scholarly journals The Approximated Solution for The Nonlinear Second Order Delay Multi-Value Problems

2011 ◽  
Vol 8 (1) ◽  
pp. 175-178
Author(s):  
Baghdad Science Journal
Keyword(s):  
Approximate Solution ◽  
Second Order ◽  
Galerkin’S Method ◽  
Galerkin's Method

This paper is attempt to study the nonlinear second order delay multi-value problems. We want to say that the properties of such kind of problems are the same as the properties of those with out delay just more technically involved. Our results discuss several known properties, introduce some notations and definitions. We also give an approximate solution to the coined problems using the Galerkin's method.

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