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Sensitivity analysis with plate and shell finite elements
Author(s) -
Brockman R. A.,
Lung F. Y.
Publication year - 1988
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620260509
Subject(s) - parametric statistics , finite element method , sensitivity (control systems) , discretization , shell (structure) , mathematics , geometry , simple (philosophy) , transformation (genetics) , orientation (vector space) , space (punctuation) , mathematical analysis , structural engineering , computer science , engineering , mechanical engineering , philosophy , statistics , biochemistry , chemistry , epistemology , electronic engineering , gene , operating system
This paper addresses the problem of calculating sensitivity data by direct methods for isoparametric plate or shell elements. Sensitivity parameters of interest include intrinsic properties such as material modulus and plate thickness, as well as geometry variables which influence the size and shape of a structure. The sensitivity calculation therefore must consider the parametric mapping within an element, as well as the influence of geometric variables on the orientation of an element in space. The methods presented specialize directly to continuum elements, in which the co‐ordinate transformation is omitted, or to simple structural members situated arbitrarily in space. Numerical examples are presented which illustrate the accuracy of the proposed techniques, and the effect of discretization error on computed sensitivities.