A mathematical model for linear elastic systems with structural damping Academic Article uri icon

abstract

  • A mathematical model exhibiting the empirically observed damping rates in elastic systems is presented. The models studied are of the form (A the relevant elasticity operator) d**2x/dt**2 equals Bdx/dt plus Ax equals 0, with B related in various ways to the positive square root, A** one-half , of A. Comparison with existing ″ad hoc″ models is made.

author list (cited authors)

  • Chen, G., & Russell, D. L.

citation count

  • 150

publication date

  • January 1982