STABILITY OF COLUMNS SUBJECT TO IMPULSIVE LOADING

THE STABILITY CRITERION DEVELOPED FOR SIMPLY SUPPORTED COLUMNS DETERMINE A BOUND ON THE TRANSVERSE MOTION OF THE COLUMN RELATIVE TO THE AMPLITUDE AND DURATION OF A PRESCRIBED FORCE PULSE AND A SET OF INITIAL PERTURBATIONS. THE CONDITIONS OF STABILITY ARE DEDUCED FROM THE CHARACTERISTICS OF A CLASS OF LYAPUNOV FUNCTIONS CONSTRUCTED FOR THIS PROBLEM (LYAPUNOV'S DIRECT METHOD). THE STABILITY OF SIMPLY SUPPORTED COLUMNS IS PRESENTED FOR THREE SPECIFIC EXAMPLE LOADINGS: A CONSTANT THRUST OF INFINITE DURATION, A VARIABLE THRUST OF INFINITE DURATION, AND A TRANSIENT THRUST OF PARABOLIC SHAPE. THE QUALITY OF THE BOUNDS IS ASCERTAINED THROUGH COMPARISON WITH THE TRAJECTORY OF THE DIFFERENTIAL EQUATION OF MOTION, OBTAINED BY NUMERICAL INTEGRATION./ASCE/

  • Availability:
  • Supplemental Notes:
    • Vol 95, No EM 4, PP 897-920, 9 FIG, 16 REF, 2 APP
  • Authors:
    • Holzer, S M
    • Eubanks, R A
  • Publication Date: 1969-8

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Filing Info

  • Accession Number: 00209087
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jan 12 1970 12:00AM