A Ritz Approximation to the Deformation of Anisotropic Slender Structures with Finite-Size Cross Sections

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Title: A Ritz Approximation to the Deformation of Anisotropic Slender Structures with Finite-Size Cross Sections
Authors: Palacios, R
Cesnik, CES
Item Type: Conference Paper
Abstract: A one-dimensional theory of slender structures with heterogeneous anisotropic materials is presented. It expands Cosserats description of beam kinematics by allowing deformation of the beam cross sections. For that purpose, a Ritz approximation is introduced on the cross-sectional warping field, which defines additional elastic degrees of freedom (finitesection modes) in the 1-D model. This results in an extended set of beam dynamic equations that includes direct measures of both the large global displacement and rotations of a certain reference line, and the small local deformations of the cross sections. Two situations of interest are then studied in which this approach provides a simpler alternative to nonlinear shell models: First, we look at the detailed structural response of thin-walled composite beams with distributed loads. In particular, the case of a composite construction with embedded piezoelectric actuators is considered. Second, this methodology is applied to study the low-frequency response characterization of a thin-walled composite beam. Numerical results are presented in both cases, in which a reduced set of finite-section modes allows a full characterization of the actual 3-D structure within a strictly 1-D framework solution.
Content Version: Published version
Issue Date: 6-Aug-2007
URI: http://hdl.handle.net/10044/1/1356
Publisher Link: http://www.aiaa.org/
Presented At: 48thAIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Hawaii, USA, April 2007
Copyright Statement: © 2007 by Rafael Palacios and Carlos E. S. Cesnik. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.
Conference Location: Waikiki, Hawaii, USA
Appears in Collections:Aeronautics

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