In this paper, a new element for higher order rod (normally referred to as Minlin-Herrman rod) is formulated by introducing lateral contraction e ects. The cross-section is assumed to be rectangular. The sti ness and mass matrices are obtained by using interpolating functions that are exact solution
Transmission line interpretation of the finite element mesh for a wave propagation problem
โ Scribed by John L. Mason; William J. Anderson
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 416 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
โฆ Synopsis
A one-dimensional exterior electromagnetic scattering problem is formulated using a differential equation approach followed by a finite element discretization. By interpreting the resulting linear algebraic equations as node voltage equations for a transmission line, a boundary element is obtained which satisfies the requirement of no wave reflection at the edge of the finite element region. Numerical results which show the elimination of non-physical standing waves from the scattered field are presented and discussed.
๐ SIMILAR VOLUMES
The ยฎnite element method is developed to solve the problem of wave run-up on a mild, plane slope. A novel approach to implementing a deforming mesh of one-dimensional, three-node, isoparametric elements is described and demonstrated. The discrete time interval (DTI), arbitrary LagrangianยฑEulerian (A
A previous article (G. Dhondt, 'Automatic 3-D mode I crack propagation calculations with finite elements', Int. J. Numer. Meth