The variable viscoelasticity oscillator
By C. M. Soon, Carlos F. M. Coimbra, M. Kobayashi. 2005
151 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/04423c5a6a4ea6bbf71ac4e0b85de6241fceaead
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In Civil and Structural Engineering
In Mechanical Engineering
Citations in the corpus
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation (2014, methodology): “The variable-order fractional calculus is nowadays presented as a useful tool, with successful applications in mechanics [26], in the modeling of linear and nonlinear viscoelasticity oscillators [27,28] and in other phenomena where the order of the derivative varies with time [29,30].”
- Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation (2009, methodology): “[31] extended the work developed in [30] by proposing a second-order accurate method for the solution of a number of initial value problems arising from modeling a variable viscoelasticity oscillator.”
- A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications (2019, background): “The dimension changes with α(t), and any intermediate value between 0 and 1 can be captured with the function α(t) [100].”
- A characteristic difference method for the variable-order fractional advection-diffusion equation (2013, methodology): “[29] employed a second-order Runge-Kutta method consisting of an explicit Euler predictor step followed by an implicit Euler corrector step to numerically integrate the variable-order differential equations.”