Structural vibration of flexural beams with thick unconstrained layer damping

International Journal of Solids and Structures

Volumn 45, Issue 22-23, 2008, Pages 5805-5813

  Cortés, Fernando ^a   Elejabarrieta, María Jesús ^a  

^a MONDRAGON UNIVERSITY   (Spain)

Author keywords

Beam models; Free layer damping; Vibration reduction

Indexed keywords

BOUNDARY LAYERS; CHLORINE COMPOUNDS; DAMPING; FREQUENCY RESPONSE; ITERATIVE METHODS; LATTICE VIBRATIONS; STIFFNESS; STIFFNESS MATRIX; STRESSES; STRUCTURAL DYNAMICS; VIBRATIONS (MECHANICAL);

2-D MODELING; BEAM MODELS; CLASSICAL MODELING; COMPLEX MODULUS; COMPUTATIONAL TIME; DYNAMIC BEHAVIOURS; EIGENVALUES AND EIGENVECTORS; FINITE ELEMENT; FLEXURAL STIFFNESS; FORCED VIBRATIONS; FRACTIONAL DERIVATIVE MODEL; FREE LAYER DAMPING; FREQUENCY DEPENDENCES; HARMONIC FORCING; MECHANICAL BEHAVIOURS; NUMERICAL APPLICATIONS; STRUCTURAL VIBRATIONS; THIN BEAMS; VIBRATION REDUCTION; VISCO-ELASTIC LAYERS; VISCOELASTIC MATERIALS;

FINITE ELEMENT METHOD;

EID: 51849164855     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.06.015     Document Type: Article

References (23)

1. Arnoldi W.E. The principle of minimized iterations in the solution of the matrix eigenvalue problem. Quarterly of Applied Mathematics 9 (1951) 17-29
2. ASTM E 756-04, 2004. Standard Test Method for Measuring Vibration-Damping Properties of Materials, American Society for Testing and Material.
3. Bagley R.L., and Torvik P.J. On the fractional calculus model of viscoelastic behaviour. Journal of Rheology 30 (1986) 133-155
4. Bathe K.J. Finite Element Procedures (1996), Prentice-Hall, New Jersey
5. Cortés F., and Elejabarrieta M.J. Complex modes superposition in non-classically damped systems. Proceedings of EASD's Sixth European Conference on Structural Dynamics (2005) 2171-2176
6. Cortés F., and Elejabarrieta M.J. An approximate numerical method for the complex eigenproblem in systems characterized by a structural damping matrix. Journal of Sound and Vibration 296 1-2 (2006) 166-182
7. Cortés F., and Elejabarrieta M.J. Viscoelastic materials characterisation using the seismic response. Materials and Design 28 7 (2007) 2054-2062
8. Hughes T.J.R. The Finite Element Method (2000), Dover Publications Inc., New York
9. Jones D.I.G. Handbook of Viscoelastic Vibration Damping (2001), John Wiley, Chichester
10. Kosloff D., and Frazier G.A. Treatment of hourglass patterns in low order finite element codes. Numerical and Analytical Methods in Geomechanics 2 (1978) 57-72
11. Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. Journal of Research of the National Bureau of Standards 45 4 (1950) 255-282
12. Megson T.H.G. Structural and Stress Analysis (1996), Butterworth-Heinemann, Bodmin
13. Myclestad N.O. The concept of complex damping. Journal of Applied Mechanics 19 (1952) 284-286
14. Nashif A.D., Jones D.I.G., and Henderson J.P. Vibration Damping (1985), John Wiley, New York
15. Nelson R.N. Simplified calculation of eigenvector derivatives. American Institute of Aeronautics and Astronautics Journal 14 1 (1976) 1201-1205
16. Oberst H., and Frankenfeld K. Über die Dämpfung der Biegeschwingungen dünner Bleche durch fest haftende Beläge. Acustica 2 (1952) 181-194
17. Pritz T. Analysis of four-parameter fractional derivative model of real solid materials. Journal of Sound and Vibration 195 1 (1996) 103-115
18. Soundown Corporation, available in http://www.soundown.com.
19. Sun C.T., and Lu Y.P. Vibration Damping of Structural Elements (1995), Prentice Hall, New Jersey
20. Timoshenko S.T. On the correction for shear of the differential equation for the transverse vibration of prismatic bars. Philosophical Magazines Series 6 41 (1921) 744-746
21. Wang C.M., Reddy J.N., and Lee K.H. Shear Deformable Beams and Plates (2000), Elsevier Science Ltd, Kidlington
22. Ward I.M., and Hadley D.W. An introduction to the mechanical properties of polymers (1993), John Wiley, Chichester, UK
23. Zienkiewicz O.C., and Taylor R.L. Finite Element Method (2000), Butterworth-Heinemann, Oxford