On the analytical closed-form solution of high-order kinematic models in laminated beam theory

Analytical closed-form solutions of arbitrary composite laminates are derived for di erent high-order kinematic models violating the Euler{Bernoulli classical beam assumptions. The solutions were obtained in the aid of the MAPLE mathematical symbolic compiler and applied in contrast of the exact sti ness matrices and exact equivalent end actions. A study of the feasibility of the solution procedure, in terms of the precision requirement and computation volume was also carried out