On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems

Fractional calculus - A different approach to the analysis of viscoelastically damped structures

Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 1983 · 1.2K citations

Different Approach, Stress-strain Relationships, Engineering +15

Fractional calculus in the transient analysis of viscoelastically damped structures

Ronald L. Bagley, Peter J. Torvik · AIAA Journal · 1985 · 518 citations

Modal Analysis, Fractional Calculus Model, Engineering +15

A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives

Lixia Yuan, Om P. Agrawal · Journal of vibration and acoustics · 2002 · 252 citations

Numerical Analysis, Engineering, Fractional-order System +15

Finite Element Formulation of Viscoelastic Constitutive Equations Using Fractional Time Derivatives

André Schmidt, Lothar Gaul · Nonlinear Dynamics · 2002 · 185 citations

Transient and forced oscillations of systems with constant hysteretic damping

Lothar Gaul, S. Bohlen, Siegmar Kempfle · Mechanics Research Communications · 1985 · 40 citations

Constant Hysteretic Damping, Engineering, Mechanical Systems +6