Error analysis and correction of discrete solutions from finite element codesMany structures are an assembly of individual shell components. Therefore, results for stresses and deflections from finite element solutions for each shell component should agree with the equations of shell theory. This paper examines the problem of applying shell theory to the error analysis and the correction of finite element results. The general approach to error analysis and correction is discussed first. Relaxation methods are suggested as one approach to correcting finite element results for all or parts of shell structures. Next, the problem of error analysis of plate structures is examined in more detail. The method of successive approximations is adapted to take discrete finite element solutions and to generate continuous approximate solutions for postbuckled plates. Preliminary numerical results are included.
Document ID
19840050353
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Thurston, G. A. (NASA Langley Research Center Hampton, VA, United States)
Stein, P. A. (NASA Langley Research Center Hampton, VA, United States)
Knight, N. F., Jr. (NASA Langley Research Center Structures and Dynamics Div., Hampton, VA, United States)
Reissner, J. E. (NASA Langley Research Center Hampton, VA, United States)