Accession Number : ADA308171

Title :   Spline Approximation of Thin Shell Dynamics.

Descriptive Note : Contractor rept.,

Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s) : DEL Rosario, R. C. ; Smith, R. C.

PDF Url : ADA308171

Report Date : MAR 1996

Pagination or Media Count : 41

Abstract : A spline-based method for approximating thin shell dynamics is presented here. While the method is developed in the context of the Donnell-Mushtari thin shell equations, it can be easily extended to the Byrne-Flugge-Lur'ye equations or other models for shells of revolution as warranted by applications. The primary requirements for the method include accuracy, flexibility and efficiency in smart material applications. To accomplish this, the method was designed to be flexible with regard to boundary conditions, material nonhomogeneities due to sensors and actuators, and inputs from smart material actuators such as piezoceramic patches. The accuracy of the method was also of primary concern, both to guarantee full resolution of structural dynamics and to facilitate the development of PDE-based controllers which ultimately require real-time implementation. Several numerical examples provide initial evidence demonstrating the efficacy of the method.

Descriptors :   *STRUCTURAL MECHANICS, *SHELLS(STRUCTURAL FORMS), *APPROXIMATION(MATHEMATICS), MATHEMATICAL MODELS, TIME DEPENDENCE, STRUCTURAL PROPERTIES, MATRICES(MATHEMATICS), LOADS(FORCES), STRUCTURAL ANALYSIS, STIFFNESS, DISPLACEMENT, DAMPING, ACCURACY, EIGENVALUES, NUMERICAL INTEGRATION, PARTIAL DIFFERENTIAL EQUATIONS, CONVERGENCE, POISSON RATIO, SPLINES(GEOMETRY), FOURIER SERIES, CUBIC SPLINE TECHNIQUE, BODIES OF REVOLUTION.

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE