TABLES AND CHARTS OF THE SHOCK RESPONSE OF NONLINEAR SYSTEMS (II),

Abstract

This paper presents tables and charts of loading ratio of the shock response of several nonlinear systems, and the composite C sub 1 - C sub 2 - C sub 3 charts. These data constitute a concise presentation of the response characteristics of a nonlinear system to shock loading, and are useful in many applications. The present report is con cerned with two types of springs: (1) elastic, softening, cubic spring, (2) bilinear springs, which includes a spring with perfectly plastic yielding characteristics as a special case. The bulk of the material is related to a halfsine pulse. However, the results for quarter-cosine pulse, (one with zero rise-time) a double-square pulse (one with zero area or total impulse), and an impulsive loading with constant decay ( a delta function at tau = 0 followed by a constant deceleration, with zero total area, i.e., a triangular 'velocity pulse'), are also presented. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0607930

Entities

People

  • R. N. Schreiner
  • Y. C. Fung

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Composite Materials
  • Deceleration
  • Delta Functions
  • Materials
  • Motion
  • Nonlinear Systems
  • Physical Properties
  • Softening

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Structural Dynamics.