A Continuum Model of the Primate Body Response to Impact.

Abstract

A continuous configuration model of the spine under axial dynamic impact is derived from first principles. The model consists of an initially curved beam-column subjected to eccentric inertial loading. As long as the formulation remains tractable, the assumptions of large deflections and finite strains are retained. Otherwise, the results are specialized to large deflections but small strains and then to small deflections and strains. The emphasis of this derivation is on the basic assumptions leading to the partial differential equations of motions. A comparison with the variational method of formulation is also given. Some previous investigations are shown to be special cases of the present model. Numerical analysis and results using the finite-difference technique are given for three special cases of the model. Feasibility studies were conducted to determine the extent and degree of detail of the biomechanical data needed to implement the model. These studies on the means of obtaining the inertial property distribution of the human trunk, the material property distribution and the failure criterion of the intervertebral joints, showed conclusively that such data indeed can be found. However, before a regression analysis can be made to yield useful input data, a fairly large experimental effort is needed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0739249

Entities

People

  • D. U. Von Rosenberg
  • Kenneth A. Adams
  • Stephen C. Cowin
  • Y. King Liu

Organizations

  • Tulane University of Louisiana

Tags

DTIC Thesaurus Topics

  • Deflection
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Feasibility Studies
  • Finite Difference Theory
  • Numerical Analysis
  • Partial Differential Equations
  • Regression Analysis
  • Variational Methods

Readers

  • Computational Modeling and Simulation
  • Structural Dynamics.