FORCED VIBRATIONS OF DAMPED SYSTEMS WITH BILINEAR NONSYMMETRIC ELASTICITY.

Abstract

A single degree-of-freedom viscously damped system with bilinear, nonsymmetric restoring force is analyzed. The differential equations governing the motion of the system are solved in closed form by matching the solutions for the positive and negative parts of a cycle. The fourth order Runge-Kutta method is also employed to solve the system numerically. Steady-state response curves are plotted for several ratios of the spring constants and damping. Both force and motion inputs are considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1969
Accession Number
AD0697284

Entities

People

  • C. D. Michalopoulos
  • J. Mandke

Organizations

  • University of Houston

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Elastic Properties
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Runge Kutta Method
  • Steady State
  • Vibration

Fields of Study

  • Engineering
  • Mathematics

Readers

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