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Sheinman, Izhak

On the analytical closed-form solution of high-order kinematic models in laminated beam theory. (English) Zbl 0981.74032

Int. J. Numer. Methods Eng. 50, No. 4, 919-936 (2001).
Summary: Analytical closed-form solutions of arbitrary composite laminates are derived for different high-order kinematic models violating the Euler-Bernoulli classical beam assumptions. The solutions are obtained with the aid of mathematical symbolic compiler MAPLE and are applied to exact stiffness matrices and to exact equivalent end actions. A study of feasibility of the procedure, in terms of accuracy requirements and computation volume, is also carried out.

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74E30 Composite and mixture properties
68W30 Symbolic computation and algebraic computation
74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics

Keywords:

shear deformation effect; buckling; analytical closed-form solutions; composite laminates; high-order kinematic models; mathematical symbolic compiler MAPLE; exact stiffness matrices; exact equivalent end actions

Software:

Maple
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\textit{I. Sheinman}, Int. J. Numer. Methods Eng. 50, No. 4, 919--936 (2001; Zbl 0981.74032)
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.