AIAA Journal · 1972 · 13 citations · 0 references
EngineeringCivil EngineeringFinite Element AnalysisFinite Element MethodsStructural EngineeringShell AnalysisShell ElementsSolid Mechanics ApplicationsStructural DesignStructural Finite Element AnalysisStructural MechanicsCurved Shell ElementsCurved Shell Finite ElementsDifferentiationDisplacementStatic Structural ResponseStatic Structure AnalysisStructural Dynamics ModelingStructural Dynamics Response
Submitted March 31, 1971; presented as Paper 71-360 at the AIAA/ASME 12th Structures, Structural Dynamics, and Materials Conference, April 19-21, Anaheim, California; synoptic received June 1, 1971; revision received October 26, 1971. Full paper is available from AIAA. Price: AIAA members, $1.50; nonmenbers, $2.00. Microfiche, $1.00. Order must be accompanied by remittance. Index category: Structural Static Analysis. * Senior Engineer, Structural Research. t Associate Professor, Civil and Environmental Engineering. Pkm = the known value of Pk at the quarter points measured along the meridian, and [C] = a matrix of constants. Approximating these geometrical functions in this manner allows numerous integrals to be evaluated in closed form and avoids differentiation of interpolation polynomials. The displacement functions are taken in the harmonic form '