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Digital Computation of Stresses and Deflections in a Box Beam. A Performance Comparison Between Finite Element Models and Idealization Patterns.

AD664930

Publication Date	1967
Personal Author	Sander, G.; Beckers, P.; Nguyen, H. D.
Page Count	54
Abstract	The problem of the accurate representation of stresses and deflections by a finite element type of analysis is investigated. The accuracy of deflections can be directly measured by running dual computations, one with displacement models providing lower bounds, one with equilibrium models providing upper bounds. Closeness of bounds and similarity of stress outputs are powerful convergence indicators. They have been used to evaluate the performance of various membrane and spar elements and the sensitivity of their outputs to the geometrical subdivision pattern. The structure used as a support for these comparisons is a simple cantilever box beam in bending and torsion. To obtain really satisfactory convergence in stress outputs for spar webs a new displacement element had to be devised and is presented here for the first time. (Author)
Keywords	Beams(Structural) Structural properties Stresses Deflection Numerical analysis Polynomials Matrix algebra Digital computers Reprints Finite element analysis
NTIS Subject Category	50 - Civil Engineering
Corporate Authors	Liege Univ (Belgium) Laboratoire de Techniques Aeronautiques Et Spatiales
Document Type	Journal Article
Title Note	Interim rept.
NTIS Issue Number	196807
Contract Number	AF 61(052)-892

Digital Computation of Stresses and Deflections in a Box Beam. A Performance Comparison Between Finite Element Models and Idealization Patterns.

Digital Computation of Stresses and Deflections in a Box Beam. A Performance Comparison Between Finite Element Models and Idealization Patterns.
AD664930

Publication Date	1967
Personal Author	Sander, G.; Beckers, P.; Nguyen, H. D.
Page Count	54
Abstract	The problem of the accurate representation of stresses and deflections by a finite element type of analysis is investigated. The accuracy of deflections can be directly measured by running dual computations, one with displacement models providing lower bounds, one with equilibrium models providing upper bounds. Closeness of bounds and similarity of stress outputs are powerful convergence indicators. They have been used to evaluate the performance of various membrane and spar elements and the sensitivity of their outputs to the geometrical subdivision pattern. The structure used as a support for these comparisons is a simple cantilever box beam in bending and torsion. To obtain really satisfactory convergence in stress outputs for spar webs a new displacement element had to be devised and is presented here for the first time. (Author)
Keywords	Beams(Structural) Structural properties Stresses Deflection Numerical analysis Polynomials Matrix algebra Digital computers Reprints Finite element analysis
NTIS Subject Category	50 - Civil Engineering
Corporate Authors	Liege Univ (Belgium) Laboratoire de Techniques Aeronautiques Et Spatiales
Document Type	Journal Article
Title Note	Interim rept.
NTIS Issue Number	196807
Contract Number	AF 61(052)-892