Equations of motion of structures with elastic and viscoelastic components

Javier Escobedo-Torres; James M. Ricles

doi:10.1117/12.349802

2 June 1999 Equations of motion of structures with elastic and viscoelastic components

Javier Escobedo-Torres, James M. Ricles

Proceedings Volume 3672, Smart Structures and Materials 1999: Passive Damping and Isolation; (1999) https://doi.org/10.1117/12.349802
Event: 1999 Symposium on Smart Structures and Materials, 1999, Newport Beach, CA, United States

Abstract

The equations of motion of structures with elastic and linear viscoelastic materials in the time domain are derived. The approach leads to a system of equations where the matrices are symmetric, real, and composed of constant coefficients. A four-parameter fractional derivative model is used to model the frequency dependence of the linear viscoelastic material since experimental data can be fitted successfully over a wide frequency range. The resulting equations of motion are the fractional order elastic-viscoelastic equations of motion. The closed-form, steady state solution of a single degree of freedom system is obtained in the frequency domain and is used to compare the results obtained by using numerical procedures. The proper selection of the stiffness for viscoelastic dampers placed in elastic structural systems is discussed in order to ensure that the damper is effective in reducing dynamic amplification of the structure.

Citation Download Citation

Javier Escobedo-Torres and James M. Ricles "Equations of motion of structures with elastic and viscoelastic components", Proc. SPIE 3672, Smart Structures and Materials 1999: Passive Damping and Isolation, (2 June 1999); https://doi.org/10.1117/12.349802

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available