Abstract
The potential for reliably solving vibration response problems by using h- and p-versions of the finite element (FE) method is investigated. Each FE model is based on full three-dimensional (3-D) displacement-based continuum theory. Special attention is given to the ability to handle thin and/or nearly incompressible elastic and viscoelastic materials. Steady-state time-harmonic problems in the low- and mid-frequency ranges are treated. Convergence studies are performed on plate-like model problems with simply supported boundary conditions, using a series elasto-dynamic Navier solution extended to the viscoelasto-dynamic case by means of the elasto-viscoelastic correspondence principle. The importance of eliminating the discretisation error when using numerical solutions to estimate the frequency-dependent viscoelastic material parameters from experiments is stressed. The superior efficiency of p-enrichments compared to h-refinements for resolving regular elastostatic solutions is observed in elasto/viscoelasto-dynamics as well. Requirements on p-enrichments to avoid shear- and volumetric locking are given. The frequently used polynomial interpolation functions employed are shown to produce a mass contribution to the dynamic stiffness, whose condition number deteriorates with increasing polynomial order. The practical implications and limitations of this observation are outlined. The recommended approach is corroborated using the measured frequency response on a laminate consisting of two aluminium plates and a constrained viscoelastic polymer damping treatment.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
