Transform Methods for Precision Nonlinear Wave Models of Flexible space Structures

Abstract

Several extensions to the Transform Element Method (TEM) described in the first year are presented, including: high frequency Mindlin-Herrmann rods and Timoshenko beams and two-dimensional elements for membranes, plates, and plane stress. Extensions are presented for solving open-loop control problems that use three-dimensional space frame TEM models, where the residual structural energy can be penalized via a rigorous integral constraint throughout the structural domain. Closed-loop extensions are presented for solving distributed control problems for one-dimensional elements (e.g., Bernoulli-Euler beams). New solution algorithms are discussed for solving the nonlinear functional matric Riccati integro-partial differential equations that define the feedback control kernels. A formulation is presented for developing frequency-dependent multibody dynamics in terms of an order (N) recursive solution algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Aug 20, 1990
Accession Number
ADA241783

Entities

People

  • Hon Chun
  • James D Turner
  • Victor Lupi

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Closed Loop Systems
  • Computational Science
  • Control Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Flexible Structures
  • Frequency Domain
  • Geometry
  • Mechanics
  • Modulus Of Elasticity
  • Partial Differential Equations
  • Riccati Equation
  • Two Dimensional

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers