Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Mathematical formulation is obtained to relate modal distribution of truncation errors to conditioning of matrix and to type of loading on structure; truncation errors involved in solution by gaussian elimination can be interpreted as modifying structure by introduction of additional elastic restraints and modification of stiffnesses of internal elastic couplings; it is found that when deformed configuration of structure corresponds substantially to its low natural "mode of vibration", error in calculated stresses is likely to be more significant than error in calculated deflections; converse is true if deformation corresponds to very high mode of vibration.
Mathematical formulation is obtained to relate modal distribution of truncation errors to conditioning of matrix and to type of loading on structure; truncation errors involved in solution by gaussian elimination can be interpreted as modifying structure by introduction of additional elastic restraints and modification of stiffnesses of internal elastic couplings; it is found that when deformed configuration of structure corresponds substantially to its low natural "mode of vibration", error in calculated stresses is likely to be more significant than error in calculated deflections; converse is true if deformation corresponds to very high mode of vibration.
Ill-conditioned stiffness matrices
ASCE -- Proc (J Structural Div)
Shah, J.M. (Autor:in)
1966
15 pages
Aufsatz (Zeitschrift)
Englisch
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