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Spline approximation of thin shell dynamics
Author(s) -
Del Rosario R. C. H.,
Smith R. C.
Publication year - 1997
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/(sici)1097-0207(19970815)40:15<2807::aid-nme192>3.0.co;2-h
Subject(s) - spline (mechanical) , actuator , flexibility (engineering) , context (archaeology) , shell (structure) , computer science , boundary value problem , boundary (topology) , mathematical optimization , mechanical engineering , control engineering , mathematics , engineering , mathematical analysis , artificial intelligence , paleontology , statistics , biology
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–Flügge–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 non‐homogeneities 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. © 1997 John Wiley & Sons, Ltd.