Accession Number : AD0701084

Title :   STATIC ANALYSIS OF SHELLS OF REVOLUTION USING DOUBLY-CURVED QUADRILATERAL ELEMENTS DERIVED FROM ALTERNATE VARIATIONAL MODELS.

Descriptive Note : Technical rept.,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE AEROELASTIC AND STRUCTURES RESEARCH LAB

Personal Author(s) : Atluri,Satyanadham

Report Date : JUN 1969

Pagination or Media Count : 288

Abstract : A systematic classification of the variational functionals whose stationary conditions (Euler equations) can be used alternately to solve for the various unknowns in a boundary value problem in linear shell theory is made. The application of these alternate variational principles to a finite-element assembly and thus the development of the properties of the individual discrete element are studied. Two models are developed in detail: one is a Compatible-Displacement Model in which an element interior displacement field that generates compatible interelement boundary displacements is assumed, but no rigid body displacement modes are included in the element displacement field; and the other is a Hybrid-Displacement Model in which rigid body modes are included explicitly in the displacement field in the interior of the element and a Lagrangian multiplier technique is used to satisfy the interelement boundary displacement compatibility on the average, but rigid body displacement modes are not included at the element boundaries. The geometrical shape of the finite element in both of the models is a doubly-curved quadrilateral element whose edge curves are the lines-of-curvature coordinates employed to define the shell midsurface. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), STRESSES), (*AIRFRAMES, STRESSES), BODIES OF REVOLUTION, STRAIN(MECHANICS), LOADS(FORCES), PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS, THEORY

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE