Journal
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS
Volume 20, Issue 4, Pages 319-334Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/15502287.2019.1644394
Keywords
State space formulation; material coupling; generalized forces; essential and natural boundary conditions; exact solution; laminated composite beams; unsymmetric layup
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The variationally consistent methodology for generating state space models of 1D composite beams is evolved systematically and used to establish such models corresponding to different composite higher order beam theories. The state space form always yields the state vector in terms of generalized displacements and its associated generalized forces. It can handle arbitrary material coupling in a general manner and satisfy all the boundary conditions simultaneously. Numerical results of generally laminated beams under transverse loading using four warping functions of the normal and shear deformation theories for different boundary conditions are provided and compared with previous studies from the literature.
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