Nonlinear Continuum Mechanics and Applied Analysis

Abstract

Ropes in Equilibrium is concerned with the equilibria of ropes or strings that are lying on surfaces or intertwined with other strings. Stability and folds ; A Model for Disclinations In Nematic Liquid Crystals; On the Maneuvering of Vehicles addressed here is the kinematics governing the motion of vehicles that move on rolling wheels. Restricted Quadriatic Forms, Inertia Theorems, and the Schur Complement; On the Kinematics of Wheeled Mobile Robots; On second-order conditions in constrained variational principles; Optimal Design of Columns Against Buckling; Director theories of rods reduces the equilibrium conditions for a uniform isotropic rod to a phase-plane for the curvature of the centerline of the rod; and 'The Stability of Relative Equilibria. Many important Hamiltonian systems have periodic solutions that are associated with symmetries of the equations. The equations governing the rotation of heavy rigid bodies comprise one such system in which the special solutions are known as permanent rotations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA213629

Entities

People

  • Aric Nachman
  • J. H. Maddocks

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Calculus Of Variations
  • Classification
  • Continuum Mechanics
  • Contracts
  • Crystals
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Eigenvalues
  • Equations
  • Geometry
  • Liquid Crystals
  • Mechanics
  • Phase Transformations
  • Security
  • Variational Principles

Readers

  • Control Systems Engineering.
  • Materials Science and Engineering.
  • Structural Dynamics.

Technology Areas

  • AI & ML
  • AI & ML - Autonomous Systems
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  • Autonomy
  • Autonomy - Autonomous System Control