Behavior of beam on elastic foundation using element free Galerkin method
نویسندگان
چکیده
One of mesh free methods, element Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using moving least square interpolation based a set nodes that arbitrarily distributed in specified domain. Discrete system equations derived from variation form equations. Numerical examples foundation given establishing Matlab code. results this paper demonstrate effectiveness proposed method with small errors compared analytical solutions.
 Keywords: square, beam,
منابع مشابه
Element free Galerkin method for crack analysis of orthotropic plates
A new approach for analyzing cracked problems in 2D orthotropic materials using the well-known element free Galerkin method and orthotropic enrichment functions is proposed. The element free Galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. In this study, element free Galerkin is extrinsically enriched by the recently developed crack-tip orthot...
متن کاملVibration of Timoshenko Beam-Soil Foundation Interaction by Using the Spectral Element Method
This article presents an analysis of free vibration of elastically supported Timoshenko beams by using the spectral element method. The governing partial differential equation is elaborated to formulate the spectral stiffness matrix. Effectively, the non classical end boundary conditions of the beam are the primordial task to calibrate the phenomenon of the Timoshenko beam-soil foundation inter...
متن کاملelement free galerkin method for crack analysis of orthotropic plates
a new approach for analyzing cracked problems in 2d orthotropic materials using the well-known element free galerkin method and orthotropic enrichment functions is proposed. the element free galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. in this study, element free galerkin is extrinsically enriched by the recently developed crack-tip orthot...
متن کاملDynamic Analysis of Axially Beam on Visco - Elastic Foundation with Elastic Supports under Moving Load
For dynamic analyses of railway track structures, the algorithm of solution is very important. For estimating the important problems in the railway tracks such as the effects of rail joints, rail supports, rail modeling in the nearness of bridge and other problems, the models of the axially beam model on the elastic foundation can be utilized. For studying the effects of axially beam on the ela...
متن کاملStatic and Free Vibration Analyses of Orthotropic FGM Plates Resting on Two-Parameter Elastic Foundation by a Mesh-Free Method
In this paper, static and free vibrations behaviors of the orthotropic functionally graded material (FGM) plates resting on the two-parameter elastic foundation are analyzed by the a mesh-free method based on the first order shear deformation plate theory (FSDT). The mesh-free method is based on moving least squares (MLS) shape functions and essential boundary conditions are imposed by transfer...
متن کاملذخیره 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: International Journal of Engineering, Science and Technology &b. Lagos
سال: 2021
ISSN: ['2141-2839']
DOI: https://doi.org/10.4314/ijest.v12i4.2