A PSDT shell finite element formulation including structural damping

This paper describes efficient C^0-compatible finite elements for modelling structurally damped laminated composite plates and shells under harmonic vibrations. Based upon a shear deformation theory of any order p (PSDT), the elements are well adapted for evaluating, from given elastic and damping properties of the material, the global modal response (mode shapes, natural frequencies and modal loss factors) of multilayered structures. Numerical test cases are presented in order to validate the proposed formulation. Results show that this shell model is accurate and more efficient than the 3D solid formulation for analyzing thin to moderately thick structurally damped plates or shells.

[1]  Joël Cugnoni,et al.  Identification by modal analysis of composite structures modelled with FSDT and HSDT laminated shell finite elements , 2004 .

[2]  Kshitij Gupta,et al.  Damping studies in fiber-reinforced composites : a review , 1999 .

[3]  Dimitris A. Saravanos,et al.  Mechanics and finite elements for the damped dynamic characteristics of curvilinear laminates and composite shell structures , 2003 .

[4]  K. Koo,et al.  VIBRATION AND DAMPING ANALYSIS OF COMPOSITE LAMINATES USING SHEAR DEFORMABLE FINITE-ELEMENT , 1993 .

[5]  E. Barkanov,et al.  Transient response analysis of systems with different damping models , 2003 .

[6]  Yukinori Kobayashi,et al.  Simultaneous Optimal Design of Stiffness and Damping of a Flexible Structure Reinforced by FRP Sheets(Special Issue on Advances in Dynamics and Design of Continuous Systems) , 2002 .

[7]  Chao Yang,et al.  ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods , 1998, Software, environments, tools.

[8]  Grigori Muravskii,et al.  On frequency independent damping , 2004 .

[9]  E. Carrera A study of transverse normal stress effect on vibration of multilayered plates and shells , 1999 .

[10]  Suong V. Hoa,et al.  A vibration method for measuring mechanical properties of composite, theory and experiment , 1997 .

[11]  Erasmo Carrera,et al.  Analysis of thickness locking in classical, refined and mixed theories for layered shells , 2008 .

[12]  J. Reddy Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[13]  T. Pritz,et al.  FREQUENCY DEPENDENCES OF COMPLEX MODULI AND COMPLEX POISSON'S RATIO OF REAL SOLID MATERIALS , 1998 .

[14]  Robert D. Adams,et al.  Modal vibration damping of anisotropic FRP laminates using the Rayleigh-Ritz energy minimization scheme , 2003 .

[15]  N. Ganesan,et al.  Orthotropic Cylindrical Shells With A Viscoelastic Core: A Vibration And Damping Analysis , 1994 .

[16]  Kenji Hosokawa,et al.  Identification of Damping Parameters for Laminated Shallow Cylindrical Shells , 2004 .

[17]  J. Reddy Mechanics of laminated composite plates : theory and analysis , 1997 .

[18]  Kyo-Nam Koo,et al.  Vibration and damping analysis of composite plates using finite elements with layerwise in-plane displacements , 2002 .

[19]  Joël Cugnoni,et al.  Inverse method based on modal analysis for characterizing the constitutive properties of thick composite plates , 2007 .

[20]  José Herskovits,et al.  Estimation of piezoelastic and viscoelastic properties in laminated structures , 2009 .

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

[22]  C. W. Bert,et al.  Material damping - An introductory review of mathematical models, measures and experimental techniques. , 1973 .

[23]  Yabin Liao,et al.  Estimation of complex modulus using wave coefficients , 2006 .

[24]  T. Pritz,et al.  Frequency power law of material damping , 2004 .

[25]  Joël Cugnoni,et al.  Improved modal characterization of the constitutive parameters in multilayered plates , 2007 .

[26]  Charles W. Bert,et al.  Material damping: An introductory review of mathematic measures and experimental technique , 1973 .

[27]  Lien-Wen Chen,et al.  Finite element dynamic analysis of orthotropic cylindrical shells with a constrained damping layer , 2004 .

[28]  Joël Cugnoni,et al.  Numerical-experimental identification of the elastic and damping properties in composite plates , 2009 .

[29]  B. P. Patel,et al.  Vibration and Damping Analysis of Laminated/Sandwich Composite Plates Using Higher-Order Theory , 2002 .

[30]  W. P. De Wilde,et al.  Identification of the damping properties of orthotropic composite materials using a mixed numerical experimental method , 1997 .