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Development of finite elements for two-dimensional structural analysis using the integrated force method
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Kaljevic, Igor Patnaik, Surya N. Hopkins, Dale A. |
| Copyright Year | 1996 |
| Description | The Integrated Force Method has been developed in recent years for the analysis of structural mechanics problems. This method treats all independent internal forces as unknown variables that can be calculated by simultaneously imposing equations of equilibrium and compatibility conditions. In this paper a finite element library for analyzing two-dimensional problems by the Integrated Force Method is presented. Triangular- and quadrilateral-shaped elements capable of modeling arbitrary domain configurations are presented. The element equilibrium and flexibility matrices are derived by discretizing the expressions for potential and complementary energies, respectively. The displacement and stress fields within the finite elements are independently approximated. The displacement field is interpolated as it is in the standard displacement method, and the stress field is approximated by using complete polynomials of the correct order. A procedure that uses the definitions of stress components in terms of an Airy stress function is developed to derive the stress interpolation polynomials. Such derived stress fields identically satisfy the equations of equilibrium. Moreover, the resulting element matrices are insensitive to the orientation of local coordinate systems. A method is devised to calculate the number of rigid body modes, and the present elements are shown to be free of spurious zero-energy modes. A number of example problems are solved by using the present library, and the results are compared with corresponding analytical solutions and with results from the standard displacement finite element method. The Integrated Force Method not only gives results that agree well with analytical and displacement method results but also outperforms the displacement method in stress calculations. |
| File Size | 1872394 |
| Page Count | 23 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19960020434 |
| Archival Resource Key | ark:/13960/t3jx39g4z |
| Language | English |
| Publisher Date | 1996-03-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Potential Energy Stress Analysis Airy Function Two Dimensional Models Equilibrium Equations Stress Functions Cantilever Beams Finite Element Method Stress Distribution Circular Shells Bending Strain Distribution Polynomials Force Distribution Matrices Mathematics Structural Analysis Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
