One Dimensional Finite Element Method for Continuous Curved Box Girder Including the Shear Lag Effect

2012 ◽  
Vol 215-216 ◽  
pp. 746-749
Author(s):  
You Ming Wu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Calculation ◽  
Model Tests ◽  
Shear Lag ◽  
Energy Principle ◽  
Box Girder ◽  
One Dimensional ◽  
Dimensional Finite Element ◽  
Element Method

The homogeneous solutions of the governing differential equations derived from energy variational method was used as the displacement patterns of finite segment. The stiffness and load matrix are obtained in terms of directed stiffness method and working energy principle. A one dimensional finite element method is presented to calculate the shear lag effects with multi-span continuous curved in engineering for general box girder. In addition, the tests of perspex modeled bridge and numerical calculation of the model tests by proposed method and finite element method are made. The results of model tests and numerical calculation verify perfectly in this paper.

Solution of the fundamental problem in resistivity logging with a hybrid method

Geophysics ◽  
1984 ◽  
Vol 49 (10) ◽  
pp. 1596-1604 ◽  
Author(s):  
Leung Tsang ◽  
Andrew K. Chan ◽  
Stanley Gianzero
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Hybrid Method ◽  
Mathematical Formulation ◽  
Series Representation ◽  
One Dimensional ◽  
Dimensional Finite Element ◽  
Source Excitation ◽  
Resistivity Logging ◽  
Element Method

The fundamental resistivity logging problem of a resistivity tool in the presence of both vertical and horizontal boundaries is solved with a hybrid method. The hybrid method combines the mode concept in waveguide theory together with the finite‐element method. In the mathematical formulation, the horizontal boundaries are used to separate the geometry of the problem into different regions. In each region, the waveguide modes are obtained through the solution of an equivalent variational problem. The solutions are calculated by a one‐dimensional finite‐element method. The vertical boundaries are taken into account in these calculations. The orthonormality of modes in each region allows a series representation of the potential in the regions. Boundary conditions at horizontal bed boundaries then couple the modes between different regions and enable the solutions for the potential to be expressed in terms of reflection and transmission matrices of modes. The source excitation determines the amplitudes of the modes. The results of the hybrid method are in excellent agreement with those of the integral transform solution. Numerical results of the apparent resistivity are illustrated as a function of formation properties. The effects of an invaded zone are also examined by considering radial inhomogeneous profiles in the formation. The results of the hybrid method are numerically efficient because it reduces the two‐dimensional finite‐element problem into a one‐dimensional one. It also provides a physical interpretation of the solution in terms of modes.

scholarly journals One-dimensional finite element discretization of crack propagation through parallel computation

1970 ◽  
Vol 5 (1) ◽  
pp. 19-28 ◽  
Author(s):  
Md Rajibul Islam ◽  
Norma Alias
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Propagation ◽  
Parallel Computer ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
One Dimensional ◽  
Parallel Virtual Machine ◽  
Dimensional Finite Element ◽  
Element Method

In this study, a new approach of the application of finite element method is presented, to solve the initial stages of crack propagation problems which mean the deformation due to the stress and strain of a material. In early applications of the finite element method for the analysis of crack propagation, the crack-tip motion was modelled by discontinuous jumps. We have implemented one dimensional finite element discretization to solve crack propagation problem. The parallel algorithm with parallel computer system has been used in order to perform the computational analysis of finite element for this study. Parallel Virtual Machine (PVM) has been used as a message passing software with Parallel Computer System. The result of this study will be useful in the mathematics and engineering fields. In mathematics, the research will widen the application of finite elements in solving the engineering science problems. Keywords: Finite Element Method (FEM), Crack Propagation, Parallel computation, Parallel Virtual Machine (PVM). DOI: 10.3329/diujst.v5i1.4378 Daffodil International University Journal of Science and Technology Vol.5(1) 2010 pp.19-28

Sign in / Sign up

Export Citation Format

Share Document