A Discrete Model of the Inverse Love Wave Problem.

Abstract

The vibrating system which consists of horizontal elastic ribs of uniform linear densities (m sub 1), (m sub2), ..., (m sub N) connected by massless strips of widths (l sub 1), (l sub 2), ..., (l sub N) is used as a discrete mathematical model of the Love wave problem. Given either the asymptotic behavior of all the dispersion curves or the knowledge of a single dispersion curve, the general question of the uniqueness of the solution of the inverse problem is considered. Partial results in that direction strengthen the conjecture that the structure of the vibrating system can be inferred uniquely from the data.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1975
Accession Number
ADA009437

Entities

People

  • Victor Barcilon

Organizations

  • University of Chicago

Tags

DTIC Thesaurus Topics

  • Dispersions
  • Inverse Problems
  • Love Waves
  • Mathematical Models
  • Models

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms