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On the analytical closed‐form solution of high‐order kinematic models in laminated beam theory
Author(s) -
Sheinman Izhak
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20010210)50:4<919::aid-nme59>3.0.co;2-h
Subject(s) - kinematics , timoshenko beam theory , beam (structure) , order (exchange) , mathematics , mathematical analysis , structural engineering , classical mechanics , physics , engineering , finance , economics
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 were obtained in the aid of the MAPLE mathematical symbolic compiler and applied in contrast of the exact stiffness 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. Copyright © 2001 John Wiley & Sons, Ltd.