Frequency-independent modal damping for flexural structures via a viscous "geometric" damping model

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Abstract

A study was conducted to develop a viscous damping model that yielded frequency-independent modal damping for flexural structures, such as beams and plates. The model involved an internal moment that is proportional to the time rate of change of curvature. The model also involved an external distributed lateral force that was proportional to and opposing the transverse velocity. It was associated with that part of the longitudinal stress, which was proportional to the local strain rate. This damping model also involved an internal shear force that was proportional to the time rate of change of the slope. The rotation-based geometric damping model was also implemented in a finite element context. Cubic interpolation functions were used to represent the lateral displacements of points on the neutral axis of the beam.

Original languageEnglish (US)
Pages (from-to)1931-1935
Number of pages5
JournalJournal of Guidance, Control, and Dynamics
Volume33
Issue number6
DOIs
StatePublished - Nov 1 2010

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damping
Damping
Directly proportional
Rate of change
Lateral
Transverse velocity
Internal
viscous damping
Model
Interpolation Function
Strain Rate
strain rate
curvature
interpolation
Strain rate
Slope
Interpolation
Curvature
Finite Element
slopes

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics
  • Control and Systems Engineering

Cite this

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