Aero-viscoelastic deformation responses to chaotic rolling forces by wings possessing random generalized temperature dependent linear or nonlinear constitutive relations and nonlinear failure conditions

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Abstract

The application of chaos theory to forces inducing rolling maneuvers by acting on linear or nonlinear temperature dependent viscoelastic wings with actual widely scattered random material properties is investigated in detail. Published experimental data shows widely scattered 1-D viscoelastic moduli and small excursions from average or beginning values - the basis for chaos theory - is realistically inapplicable and would simply constitute a purely academic exercise excursion. While conventional approaches have been associated with applied forces, such as probability theory, to characterize these deterministic and stochastic properties, chaos theory is offered as an additional alternate generalized protocol to characterize viscoelastic responses to chaotic flight loads. At this time unfortunately no deterministic, stochastic or chaotic experimental data seems to be available, nor experimental data on aero-viscoelastic structural responses to flight vehicle maneuvers at any temperature. With currently seriously absent multi-D or even 2-D or 3-D deterministic or stochastic viscoelastic experimental material property data (constitutive and failure relations), a general analysis,

Original languageEnglish (US)
Pages (from-to)969-1009
Number of pages41
JournalNonlinear Studies
Volume28
Issue number4
StatePublished - 2021

Keywords

  • chaos theory
  • material failures
  • nonlinear da Vinci-Euler-Bernoulli and Timoshenko elastic and viscoelastic beams (spars)
  • nonlinear deterministic aero-elasticity/aero-viscoelasticity
  • realistic starting transient loads
  • stochastic nonlinear aeroelasticity and aero-viscoelasticity
  • survival times

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics

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