A Nonlinear Dynamic Spherical Membrane Model

Abstract

A static set of nonlinear spherical membrane equations are modified to model the dynamic response of a spherical membrane to a time dependent pressure distribution. The two governing partial differential equations (PSE's) were converted into a system of nonlinear first order differential equations which are finite differenced in space and solved numerically. The model is a first step towards modelling the dynamic response of parachutes during the complex opening phase. The ultimate end use for a numerical structural dynamic canopy model is to couple it with a numerical model of the fluid medium surrounding the canopy. The project involves coupling the computational fluid dynamics (CFD) code SALE (Simplified Arbitrary Lagrangian Eulerian) to a modified version of the spherical membrane model Fortran programs described in this report. The spherical membrane model coupled to the CFD code SALE will be a major step towards the solution of the opening problem of parachutes. The solution of the opening problem will provide essential information to aid in the design of high-speed, low-altitude airdrop systems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1993
Accession Number
ADA259633

Entities

People

  • Richard J. Benney

Organizations

  • United States Army Soldier Systems Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Altitude
  • Computational Fluid Dynamics
  • Computer Programs
  • Coordinate Systems
  • Couplings
  • Difference Equations
  • Differential Equations
  • Dynamic Response
  • Engineering
  • Equations
  • Fluid Dynamics
  • Low Altitude
  • Nonlinear Algebraic Equations
  • Partial Differential Equations
  • Pressure Distribution
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Computational Fluid Dynamics (CFD)
  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space