Abstract Views :133 |
PDF Views:1
Authors
Affiliations
1 Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani-741235, West Bengal, IN
Source
Indian Science Cruiser, Vol 36, No 6 (2022), Pagination: 51-54
Abstract
Conventionally, linear shape functions are used for two noded one dimensional elements. Determination of coefficients of a second degree polynomial are restricted to one dimensional two noded element as it requires more than two boundary conditions at each node. The present work introduces a new nonlinear trigonometric shape function to a one dimensional two noded element. Results with newly introduced shape function show better matching with exact solution to the specified solid mechanics problem.
Keywords
Non-Linear Shape Function, One Dimensional Element, Two Noded Element, Finite Element Analysis, FEM.
References
- J N Reddy, An Introduction to Finite Element Method, McGraw Hill, New York (Int. Ed.), 1985.
- T R Chandrupatla and A D Belegundu, Introduction to Finite Elements in Engineering, PHI Publication (India), 1999.
- O C Zienkiewicz and R L Taylor, Finite Element Method, 4th Edition, McGraw Hill (UK), London, Vol 1, page 150-181, 1989.
- R L Taylor, On Completeness of Shape Functions for Finite Element Analysis, Int. J. Numer. Methods, Vol 4, No 1, page 17-22, 1972.
- S Chakrabarti, Trigonometric Function Representation for Rectangular Plate Bending Elements, Int. J. Numer. Methods, Vol 3, No 2, page 261-273, 1971.
- M A Eisenberg and L E Malvern, On Finite Element Integration in Natural Coordinates, Int. J. Numer. Methods, Vol 7, page 574-575, 1973.
