A MATHEMATICAL-MODEL FOR LINEAR ELASTIC-SYSTEMS WITH STRUCTURAL DAMPING Academic Article uri icon

abstract

  • We present a mathematical model exhibiting the empirically observed damping rates in elastic systems. The models studied are of the form ( A A the relevant elasticity operator) [ x + B x + A x = 0 ddot x + Bdot x + Ax = 0 ] with B B related in various ways to the positive square root, A 1 / 2 {A^{1/2}} , of A A . Comparison with existing ad hoc models is made.

published proceedings

  • QUARTERLY OF APPLIED MATHEMATICS

author list (cited authors)

  • CHEN, G., & RUSSELL, D. L.

citation count

  • 180

complete list of authors

  • CHEN, G||RUSSELL, DL

publication date

  • January 1982