Time Domain Modeling and Simulation of Nonlinear Slender Viscoelastic Beams Associating Cosserat Theory and a Fractional Derivative Model
AUTOR(ES)
Borges, Adailton S., Borges, Adriano S., Faria, Albert. W., Rade, Domingos. A., Sales, Thiago. P.
FONTE
Lat. Am. j. solids struct.
DATA DE PUBLICAÇÃO
2017-01
RESUMO
Abstract A broad class of engineering systems can be satisfactory modeled under the assumptions of small deformations and linear material properties. However, many mechanical systems used in modern applications, like structural elements typical of aerospace and petroleum industries, have been characterized by increased slenderness and high static and dynamic loads. In such situations, it becomes indispensable to consider the nonlinear geometric effects and/or material nonlinear behavior. At the same time, in many cases involving dynamic loads, there comes the need for attenuation of vibration levels. In this context, this paper describes the development and validation of numerical models of viscoelastic slender beam-like structures undergoing large displacements. The numerical approach is based on the combination of the nonlinear Cosserat beam theory and a viscoelastic model based on Fractional Derivatives. Such combination enables to derive nonlinear equations of motion that, upon finite element discretization, can be used for predicting the dynamic behavior of the structure in the time domain, accounting for geometric nonlinearity and viscoelastic damping. The modeling methodology is illustrated and validated by numerical simulations, the results of which are compared to others available in the literature.
Documentos Relacionados
- Identifying Mechanical Properties of Viscoelastic Materials in Time Domain Using the Fractional Zener Model
- A time-domain finite element model reduction method for viscoelastic linear and nonlinear systems
- Modeling and Computer Simulation of Viscoelastic Crypt Deformation
- ON AN INTEGRATED DYNAMIC CHARACTERIZATION OF VISCOELASTIC MATERIALS BY FRACTIONAL DERIVATIVE AND GHM MODELS
- Development of a three-dimensional nonlinear viscoelastic constitutive model of solid propellant