A new theory of sandwich beams/one-dimensional plates is presented with finite rotations and shear allowed in each layer. The layers, variable in number from one to three, need not have the same thickness and the same length, thus allowing for ply drop-off. Restricting to planar deformation, the cross section has a motion identical to that of a multibody system that consists of rigid links connected by hinges. Large deformation and large overall motion are accommodated, with the beam dynamics referred directly to an inertial frame. An important approximated theory is developed from the general nonlinear equations. The classical linear theory is recovered by consistent linearization.

Issue Section:
Technical Papers
Topics:
Plates (structures), Deformation, Dynamics (Mechanics), Hinges, Multibody systems, Nonlinear equations, Shear (Mechanics)
1.
Alberts
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,
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4.
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D. A.
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A Beam Theory for Large Global Rotation, Moderate Local Rotation, and Small Strain
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7.
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,
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Dynamics of Constrained Multibody Systems
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10.
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,
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11.
Simo
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,
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,”
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12.
Simo
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,
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,”
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Sirkis
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14.
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16.
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17.
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A Composite Plate Theory for Arbitrary Laminate Configurations
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,
181
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18.
Tzou
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Theoretical analysis of a multi-layered thin shell coupled with piezoelectric shell actuators for distributed vibration controls
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19.
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20.
Vu-Quoc
L.
, and
Deng
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,
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, “
Galerkin Projection for Geometrically-Exact Multilayered Beams Allowing for Ply Drop-Off
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
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21.
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22.
Vu-Quoc, L., and Ebciog˘lu, I. K., 1995, “Formulation of equations of motion for multilayered geometrically-exact shells accomodating large deformation and large overall motions,” to be submitted.
23.
Vu-Quoc
L.
, and
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,
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, “
High-Speed Vehicle Models Based on a New Concept of Vehicle/Structure Interaction Component. Part I: Formulation
,”
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, Vol.
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, pp.
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24.
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, “
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