Analysis of free damped vibrations of laminated composite conical shells

Damped free vibrations of multilayered composite cylindrical shells are investigated. Vibration and damping analysis of cylindrical shells is performed by using the first-order shear deformation theory (FOSDT). Based on other researchers' works, two damping models are developed, i.e., the energy method (EM), and the method of complex eigenvalues (MCE). Several numerical examples of the damped free vibration problem of laminated composite cylindrical shells have been solved and comparison has been made with the results of other authors.

[1]  Yury N. Ermakov,et al.  Anisotropy of the dissipative properties of fibrous composites , 1986 .

[2]  R. Adams,et al.  Prediction and Measurement of the Vibrational Damping Parameters of Carbon and Glass Fibre-Reinforced Plastics Plates , 1984 .

[3]  Andris Chate,et al.  VIBRATION AND DAMPING ANALYSIS OF LAMINATED COMPOSITE AND SANDWICH SHELLS , 1997 .

[4]  A. Skudra Structural analysis of composite beam systems , 1991 .

[5]  Damping Properties of Three-Layered Shallow Spherical Shells with a Constrained Viscoelastic Layer , 1990 .

[6]  R. Christensen,et al.  A HIGH-ORDER THEORY OF PLATE DEFORMATION, PART 1: HOMOGENEOUS PLATES , 1977 .

[7]  Mikami Takashi,et al.  Application of the collocation method to vibration analysis of rectangular mindlin plates , 1984 .

[8]  S. Singh,et al.  Damped free vibrations of layered composite cylindrical shells , 1994 .

[9]  S. Chaturvedi,et al.  The influence of fiber length and fiber orientation on damping and stiffness of polymer composite materials , 1986 .

[10]  Dimitris A. Saravanos,et al.  Integrated Damping Mechanics for Thick Composite Laminates and Plates , 1994 .

[11]  N. Ganesan,et al.  Vibration and damping analysis of conical shells with constrained damping treatment , 1993 .

[12]  K. Khatri Antisymmetric vibrations of multilayered conical shells with constrained viscoelastic layers , 1996 .

[13]  J. Reddy A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[14]  K. N. Khatri,et al.  Vibration and damping analysis of multilayered conical shells , 1995 .

[15]  Rolands Rikards,et al.  Isoparametric triangular finite element of a multilayer shell after Timoshenko's shear model , 1981 .

[16]  Andrew S. Bicos,et al.  Vibrational characteristics of composite panels with cutouts , 1989 .

[17]  A. Chate,et al.  FREE VIBRATION ANALYSIS OF SANDWICH PLATES ON FLEXIBLE SUPPORTS , 1995 .

[19]  Ray W. Clough,et al.  Improved numerical integration of thick shell finite elements , 1971 .

[20]  S. G. Lekhnit︠s︡kiĭ Theory of elasticity of an anisotropic body , 1981 .

[21]  Yury N. Ermakov,et al.  Energy Dissipation in Composite Materials , 2018 .

[22]  Stefanos Vlachoutsis,et al.  Shear correction factors for plates and shells , 1992 .

[23]  J. Z. Zhu,et al.  The finite element method , 1977 .

[24]  O. C. Zienkiewicz,et al.  Basic formulation and linear problems , 1989 .

[25]  Andris Chate,et al.  Finite element analysis of damping the vibrations of laminated composites , 1993 .

[26]  Andris Chate,et al.  Vibration and damping analysis of laminated composite plates by the finite element method , 1995 .

[27]  N. T. Asnani,et al.  Vibration and Damping Analysis of Fibre Reinforced Composite Material Cylindrical Shell , 1987 .

[28]  S. A. Al-Kaabi,et al.  Free vibration analysis of Mindlin plates with linearly varying thickness , 1987 .

[29]  Ronald F. Gibson,et al.  The effects of three-dimensional states of stress on damping of laminated composites , 1991 .

[30]  Andrew S. Bicos,et al.  Analysis of free damped vibration of laminated composite plates and shells , 1989 .

[31]  R. Christensen,et al.  A High-Order Theory of Plate Deformation—Part 2: Laminated Plates , 1977 .

[32]  D. J. Wilkins,et al.  Free vibrations of orthotropic sandwich conical shells with various boundary conditions , 1970 .

[33]  N. Ganesan,et al.  A Finite Element Based on a Discrete Layer Theory for the Free Vibration Analysis of Conical Shells , 1993 .

[34]  N. T. Asnani,et al.  Vibration and damping analysis of a multilayered cylindrical shell. I - Theoretical analysis , 1984 .

[35]  H. Hencky,et al.  Über die Berücksichtigung der Schubverzerrung in ebenen Platten , 1947 .

[36]  B. Gautham,et al.  Vibration and Damping Characteristics of Spherical Shells With a Viscoelastic Core , 1994 .

[37]  S. Timoshenko,et al.  LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars , 1921 .

[38]  John W. Gillespie,et al.  Characterization of the vibration damping loss factor of glass and graphite fiber composites , 1991 .

[39]  N. Ganesan,et al.  Free Vibration and Material Damping Analysis of Moderately Thick Circular Cylindrical Shells , 1994 .

[40]  R. D. Mindlin,et al.  Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates , 1951 .

[41]  Edward F. Crawley,et al.  The Natural Modes of Graphite/Epoxy Cantilever Plates and Shells , 1979 .

[42]  K. N. Khatri,et al.  VIBRATION AND DAMPING ANALYSIS OF FIBER REINFORCED COMPOSITE MATERIAL CONICAL SHELLS , 1996 .

[43]  A. Chate,et al.  Damping Analysis Of Sandwich Structures , 1970 .

[44]  Kurt Moser Faser-Kunststoff-Verbund , 1992 .

[45]  N. T. Asnani,et al.  Vibration and Damping Analysis of a Multilayered Cylindrical Shell, Part 11: Numerical Results , 1984 .

[46]  Robert D. Adams,et al.  Effect of Fibre Orientation and Laminate Geometry on the Dynamic Properties of CFRP , 1973 .

[47]  M. Dokainish,et al.  Damped vibrations of laminated composite plates: modeling and finite element analysis , 1993 .