A Galerkin method for distributed systems with non-local damping

[1]  Francesco Mainardi,et al.  Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics , 2012, 1201.0863.

[2]  Sondipon Adhikari,et al.  Qualitative dynamic characteristics of a non-viscously damped oscillator , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[3]  S. Krenk,et al.  DAMPING OF CABLES BY A TRANSVERSE FORCE , 2005 .

[4]  Olaf Weckner,et al.  The effect of long-range forces on the dynamics of a bar , 2005 .

[5]  T. Atanacković,et al.  Stability of an elastic rod on a fractional derivative type of foundation , 2004 .

[6]  Om P. Agrawal,et al.  Analytical Solution for Stochastic Response of a Fractionally Damped Beam , 2004 .

[7]  Ji-Hwan Kim,et al.  Eigensensitivity based optimal distribution of a viscoelastic damping layer for a flexible beam , 2004 .

[8]  S. Krenk.  Complex modes and frequencies in damped structural vibrations , 2004 .

[9]  Stefano Marchesiello,et al.  A new analytical technique for vibration analysis of non-proportionally damped beams , 2003 .

[10]  S. Silling,et al.  Deformation of a Peridynamic Bar , 2003 .

[11]  Castrenze Polizzotto,et al.  Nonlocal elasticity and related variational principles , 2001 .

[12]  D. Russell,et al.  A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping , 2001 .

[13]  S. Adhikari,et al.  Identification of damping: Part 1, viscous damping , 2001 .

[14]  Nuno M. M. Maia,et al.  On a General Model for Damping , 1998 .

[15]  Jim Woodhouse,et al.  LINEAR DAMPING MODELS FOR STRUCTURAL VIBRATION , 1998 .

[16]  Å. Fenander,et al.  A FRACTIONAL DERIVATIVE RAILPAD MODEL INCLUDED IN A RAILWAY TRACK MODEL , 1998 .

[17]  Bingen Yang,et al.  TRANSIENT RESPONSE OF ONE-DIMENSIONAL DISTRIBUTED SYSTEMS: A CLOSED FORM EIGENFUNCTION EXPANSION REALIZATION , 1997 .

[18]  Daniel J. Inman,et al.  On the Realisation of GHM Models in Viscoelasticity , 1997 .

[19]  Hany Ghoneim,et al.  Fluid surface damping versus constrained layer damping for vibration suppression of simply supported beams , 1997, Smart Structures.

[20]  Bingen Yang,et al.  Transfer functions of one-dimensional distributed parameter systems , 1992 .

[21]  Daniel J. Inman,et al.  On damping mechanisms in beams , 1991 .

[22]  Daniel J. Inman,et al.  Bending and shear damping in beams: Frequency domain estimation techniques , 1991 .

[23]  C. Fletcher.  Computational Galerkin Methods , 1983 .

[24]  Peter J. Torvik,et al.  Fractional calculus in the transient analysis of viscoelastically damped structures , 1983 .

[25]  A. Eringen,et al.  On nonlocal elasticity , 1972 .

[26]  P. Fuschi,et al.  Closed form solution for a nonlocal elastic bar in tension , 2003 .

[27]  Sondipon Adhikari,et al.  Eigenrelations for Nonviscously Damped Systems , 2001 .

[28]  Karl Kunisch,et al.  Control and estimation of distributed parameter systems , 1998 .

[29]  Mikael Enelund,et al.  Time-Domain Finite Element Analysis of Viscoelastic Structures with Fractional Derivatives Constitutive Relations , 1997 .

[30]  F. Mainardi,et al.  Fractals and fractional calculus in continuum mechanics , 1997 .

[31]  Harvey Thomas Banks,et al.  Control and Estimation in Distributed Parameter Systems , 1992 .

[32]  David L. Russell,et al.  4. On Mathematical Models for the Elastic Beam with Frequency-Proportional Damping , 1992 .

[33]  J. Nowinski.  On the non-local aspects of stress in a viscoelastic medium∗ , 1986 .

[34]  Peter J. Torvik,et al.  Fractional calculus-a di erent approach to the analysis of viscoelastically damped structures , 1983 .

[35]  G. Ahmadi.  Linear theory of non-local viscoelasticity , 1975 .