DYNAMIC FORMS OF LOSS OF STABILITY OF AN ELASTIC SYSTEM

Abstract

A study is made of the dynamic behavior of fundamental forms which have been subjected to compression. It is determined that for loads exceeding the initial critical values suddenly applied to an elastic system, there results a motion after which the system does not return to its original state. If this function is harmonic the motion is a normal oscillation. Examples of these determinations are presented. AD-264 149Div. 9, 15U (TIPSP/WH) OTS price $2.60 Space Technology Labs., Inc., Los Angeles, Calif. HORIZONTAL HYDRODYNAMIC IMPACT OF A SPHERE IN THE PRESENCE OF A FREE LIQUID SURFACE, by E. L. Blokh, tr. by Z. Jakubski. Jan 61, 27p. incl. illus. (Rept. no. STL-TR 61-5110-4, Trans. from Prikladnaya Matematika i Mekhanika, Tom 17, 1953) Unclassified report DESCRIPTORS: *Spheres, *Hydrodynamics, Impact shock, *Fluid mechanics, Mathematical analysis, Partial differential equations, Polynomials, Series, Translations, USSR, Technological intelligence. The problem of motion of a solid body floating on the surface of an incompressible liquid or on the surface of a liquid partly filling a shell is considered as a problem of hydrodynamic impact of a solid body against an incompres ible liquid in those cases, in which this motion undergoes very high accelerations within a sufficiently short period of time. The investigation of horizontal impact is much more complicated than that of a vertical impact because the latter comes to the problem of a smooth flowing around a body entirely enveloped by a liquid. The simplest case of a three-dimensional horizontal impact, i.e., when the solid body is a sphere half immersed in a noncompressible liquid or a spherical shell half-filled with liquid is investigated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0264148

Entities

People

  • A. Yu. Ishlinskii
  • M.a. Lavrent'ev

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Bodies
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • High Acceleration
  • Impact Shock
  • Mathematical Analysis
  • Mechanics
  • Partial Differential Equations
  • Solid Bodies
  • Space Systems
  • Three Dimensional

Readers

  • Control Systems Engineering.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Orbital Debris