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

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

Software:

Maple
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References:

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