A Distributed Parameter Model of the Inertially Loaded Human Spine: A Finite Difference Solution.

Abstract

The prupose of this research was the development and solutions of nonlinear continuum models of the human spinal response to impact, with emphasis on the vertical impact-pilot ejection problem. A derivation is given for a general one-dimensional continuum model of the spine considered as a curved homogenous beam and subject to the eccentric inertial loading of the human torso. A reduction to a small strain, large deflection model is made by introducing the assumptions of linear elasticity. A further reduction to a small strain, small deflection model is made by assuming small curvatures. A three parameter viscoelastic model is also treated. Methods of solution for these nonlinear dynamic models are formulated using the finite difference calculus. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1973
Accession Number
AD0773859

Entities

People

  • Dale U. Von Rosenberg
  • Harold J. Cramer
  • Y. King Liu

Organizations

  • Tulane University of Louisiana

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Calculus
  • Curvature
  • Deflection
  • Ejection
  • Elastic Properties
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Structural Dynamics.