NONLINEAR OSCILLATIONS OF CUBIC DYNAMICAL SYSTEMS: PART 1 - THEORETICAL CONSIDERATION

A nonlinear differential equation of motion of a single-degree-of-freedom system with a cubic damping and restoring force, subjected to monoharmonic (deterministic) and polyharmonic (stochastic) excitation, is solved exactly by the improved harmonic balance method in the frequency domain. The solution of the system of nonlinear algebraic equations in the former and the latter case is achieved by a recurrent and simultaneous procedure respectively, employing an iteration algorithm. The principal and superharmonic response spectrum as well as the jumping phenomenon are analysed. The procedure may be applied for ship rolling analysis. For this purpose a cubic approximation of the quadratic viscous damping is given.

• Supplemental Notes:
  • Brodogradnja, v 41 n 2, April-June 1993, p 99 [9 p, 23 ref, 1 tab, 2 fig]
• Authors:
  • Senjanovic, I
  • Fan, Yingling
• Publication Date: 1993

Language

• English

Subject/Index Terms

• TRT Terms: Dynamic loads; Equations of motion; Rolling
• Uncontrolled Terms: Dynamic response
• Old TRIS Terms: Harmonic oscillations
• Subject Areas: Marine Transportation;

Filing Info

• Accession Number: 00705902
• Record Type: Publication
• Source Agency: British Maritime Technology
• Files: TRIS
• Created Date: Aug 14 1995 12:00AM