ANALYTICAL SOLUTION FOR LAMINATED OPEN CYLINDRICAL SHELL WITH CLAMPED EDGES
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Abstract
Based on the fundamental equations of three dimensional elasticity, and by introducing boundary displacement functions, the state equation is established for thick laminated open cylindrical shell with clamped edges subjected to arbitrary loads. An analytical static solution is presented which is suitable for any thickness to span ratios. Because all the physical quantities appearing in the state equation are just the compatible quantities at the interfaces, the present paper is extremely convenient for solving the laminates. The solution given satisfies all the boundary conditions and continuity conditions between plies. In addition, the distributions of the boundary displacements along x or θ direction are assumed by polynomial functions, the convergence of the present method is faster and the stresses are continuous nearby the boundary.
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