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Steel and Composite Structures
  Volume 24, Number 6, August30 2017 , pages 659-670

Static analysis of singly and doubly curved panels on rectangular plan-form
Rajendra Bahadur, A.K. Upadhyay and K.K. Shukla

    In the present work, an analytical solution for the static analysis of laminated composites, functionally graded and sandwich singly and doubly curved panels on the rectangular plan-form, subjected to uniformly distributed transverse loading is presented. Mathematical formulation is based on the higher order shear deformation theory and principle of virtual work is applied to derive the equations of equilibrium subjected to small deformation. A solution methodology based on the fast converging finite double Chebyshev series is used to solve the linear partial differential equations along with the simply supported boundary condition. The effect of span to thickness ratio, radius of curvature to span ratio, stacking sequence, power index are investigated. The accuracy of the solution is checked by the convergence study of non-dimensional central deflection and moments. Present results are compared with those available in the literature.
Key Words
    analytical solution; higher order shear deformation theory; doubly curved panels; Chebyshev polynomial
Department of Applied Mechanics, MNNIT, Allahabad, U.P., 211004. India.

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