Multifield Variational Finite Element Sectional Analysis of Composite Beams
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초록
A multifield variational formulation is developed for the finite element (FE) cross-sectional analysis of composite beams. The cross-sectional warping displacements and sectional stresses are considered to be the primary variables through the application of Reissner’s partially mixed principle. The warping displacements are modeled using generic FE shape functions with nonlinear distribution over the beam section. A generalized Timoshenko level stiffness matrix is derived which incorporates the effects of elastic couplings, transverse shear, and Poisson’s deformations. The accuracy of the present analysis is validated for the stiffness constants and elastostatic responses of composite box beams which correlate well with the experimental data and other state-of-the-art approaches.
Abstract
A multifield variational formulation is developed for the finite element (FE) cross-sectional analysis of composite beams. The cross-sectional warping displacements and sectional stresses are considered to be the primary variables through the application of Reissner’s partially mixed principle. The warping displacements are modeled using generic FE shape functions with nonlinear distribution over the beam section. A generalized Timoshenko level stiffness matrix is derived which incorporates the effects of elastic couplings, transverse shear, and Poisson’s deformations. The accuracy of the present analysis is validated for the stiffness constants and elastostatic responses of composite box beams which correlate well with the experimental data and other state-of-the-art approaches.
참고문헌 (10)
- Dewey H. Hodges, "Unified Approach for Accurate and Efficient Modeling of Composite Rotor Blade Dynamics<BR> <I>The Alexander A. Nikolsky Honorary Lecture<", I>, 2015, pp.60(1), 1~28[DOI]
- Sung Nam Jung, "Assessment of Composite Rotor Blade Modeling Techniques", Journal of the American Helicopter Society, 44(3), pp.188~205 (1999), American Helicopter Society[DOI]
- V. Giavotto, "Anisotropic beam theory and applications", Computers & Structures, 16(1-4), pp.403~413 (1983), Elsevier BV[DOI]
- Carlos E. S. Cesnik, "VABS: A New Concept for Composite Rotor Blade Cross-Sectional Modeling", Journal of the American Helicopter Society, 42(1), pp.27~38 (1997), American Helicopter Society[DOI]
- V.L. Berdichevskii, "Variational-asymptotic method of constructing a theory of shells", Journal of Applied Mathematics and Mechanics, 43(4), pp.711~736 (1979), Elsevier BV[DOI]
- RAMESH CHANDRA, "Thin-walled composite beams under bending, torsional, and extensional loads", Journal of Aircraft, 27(7), pp.619~626 (1990), American Institute of Aeronautics and Astronautics (AIAA)[DOI]
- Ramesh Chandra, "Structural response of composite beams and blades with elastic couplings", Composites Engineering, 2(5-7), pp.347~374 (1992), Elsevier BV[DOI]
- Sung Nam Jung, "Refined Structural Model for Thin- and Thick-Walled Composite Rotor Blades", AIAA Journal, 40(1), pp.105~116 (2002), American Institute of Aeronautics and Astronautics (AIAA)[DOI]
- E. Reissner, "On mixed variational formulations in finite elasticity", Acta Mechanica, 56(3-4), pp.117~125 (1985), Springer Nature[DOI]
- Manoj Kumar Dhadwal, "Refined sectional analysis with shear center prediction for nonhomogeneous anisotropic beams with nonuniform warping", Meccanica, 51(8), pp.1839~1867 (2016), Springer Nature[DOI]