Nonlinear lay-up optimization of variable stiffness composite skew and taper cylindrical panels in free vibration

2021 ◽  
Vol 262 ◽  
pp. 113629
Author(s):  
Touraj Farsadi ◽  
Mohammad Rahmanian ◽  
Hasan Kurtaran
Keyword(s):  
Free Vibration ◽  
Variable Stiffness ◽  
Cylindrical Panels

Numerical solution of problems of the deformation of flexible cylindrical panels of variable stiffness

1984 ◽  
Vol 20 (11) ◽  
pp. 1047-1052
Author(s):  
Ya. M. Grigorenko ◽  
G. K. Sudavtsova ◽  
O. V. Tumashova
Keyword(s):  
Numerical Solution ◽  
Variable Stiffness ◽  
Cylindrical Panels

FREE VIBRATION RESPONSE OF CYLINDRICAL PANELS WITH HIGHER ORDER SHEAR DEFORMATION THEORY

2005 ◽  
Vol 05 (03) ◽  
pp. 409-434 ◽  
Author(s):  
HUMAYUN R. H. KABIR ◽  
HASAN ASKAR
Keyword(s):  
Finite Element ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Shear Deformation ◽  
Shell Theory ◽  
Fourier Series Expansion ◽  
Partial Differential ◽  
Cylindrical Panels

Presented here is an analytical solution to the free vibration problem of an isotropic cylindrical panel with SS2-type simply supported boundary conditions based on Reddy's third order shear deformation shell theory. Using the principle of virtual work, the Reddy's shell theory generates five highly coupled partial differential equations in terms of three unknown displacements and two unknown rotations. The partial differential equations in conjunction with the prescribed boundary conditions are solved using displacement functions expressed in terms of double Fourier series expansion. Cylindrical panels with various aspect and thickness ratios are considered in the study of convergence behavior and parametric variation of the eigenvalues. The eigenvalues and mode shapes obtained in this study are compared with those obtained from the finite element software package ANSYS. The hitherto unavailable analytical solutions can be used as benchmarks for checking the accuracy of various approximate methods such as the Rayleigh–Ritz, finite element and finite difference methods.

Three-dimensional solutions for free vibration of variable stiffness laminated sandwich plates with curvilinear fibers

2018 ◽  
Vol 22 (3) ◽  
pp. 896-925 ◽  
Author(s):  
A Houmat
Keyword(s):  
Free Vibration ◽  
Three Dimensional ◽  
Orientation Angle ◽  
Variable Stiffness ◽  
P Element ◽  
Skin Thickness ◽  
Sandwich Plates ◽  
Aspect Ratios ◽  
Transverse Shearing ◽  
Curvilinear Fibers

This paper is concerned with the free vibration of variable stiffness laminated sandwich plates with curvilinear fibers. The three-dimensional elasticity theory and the p-version of the finite element method are adopted for the analysis. The skin is composed of one or more plies with curvilinear fibers. The fiber path orientation angle in a ply is assumed to vary linearly with the x coordinate. The plies may be stacked symmetrically or anti-symmetrically with respect to the middle surface of the plate. Each layer is modeled as one brick p-element. The principle of virtual displacements is used to derive the element stiffness and mass matrices. The generalized displacements at vertices, edges, and faces shared by elements are matched to ensure inter-element compatibility. Since no solutions are available for the free vibration of such variable stiffness laminated sandwich plates, the validity, convergence, and accuracy of the present three-dimensional method are established by comparing with existing three-dimensional frequencies for constant stiffness laminated sandwich plates with rectilinear fibers. The study reveals that inter-layer modal bending stresses are discontinuous; modal transverse shearing stresses are constant in the core; the sign of modal transverse shearing stresses can change through the thickness of the skin; and the shape of modal cross-sectional warping is influenced by the mode number and stacking sequence of plies. Three-dimensional frequencies are presented for different fiber orientation angles, boundary conditions, aspect ratios, thickness ratios, core/skin thickness ratios, and stacking sequences of plies. The accurate results presented here will serve as a benchmark for future investigations.

scholarly journals FREE VIBRATION ANALYSIS OF LAMINATED STIFFENED CYLINDRICAL PANELS USING FINITE ELEMENT METHOD

2016 ◽  
Vol 54 (6) ◽  
pp. 771
Author(s):  
Trinh Anh Tuan ◽  
Tran Huu Quoc ◽  
Tran Minh Tu
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Shell Element ◽  
Cylindrical Panels ◽  
Parametric Studies ◽  
Shell Panel ◽  
Degenerated Shell Element ◽  
Good Agreement

A study on the free vibration analysis of stiffened laminated composite cylindrical shell is described in this paper. The eight-noded isoparametric degenerated shell element is developed to model both shell panel and stiffeners by using the degenerated solid concept based on Reissner-Mindlin assumptions which taking to account the shear deformation and rotatory effect. Numerical results are presented and comparison is made with the published results from the literature and the good agreement is found. Parametric studies considering different geometrical variables of shell and stiffeners have also been carried out.

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