This investigation is based on the geometric analysis of phase trajectories and incurred vector fields associated with nonlinear oscillators. Optimal curve fitting techniques are applied in the phase plane, in an effort to generate a so-called "geometric averaging". The results are then compared with those generated by classical techniques such as harmonic balance and equivalent linearization, as well as by numerical integration. The investigation is extended to nonlinear mult iple-degree-of -freedom systems. Frequencies of oscillations and mode shapes are derived based on the optimal equivalent linearization process. The results are also compared with numerical integration for justification. It is shown that the proposed linearization methods are simple to implement and provide an efficient methodology for the analysis of nonlinear oscillations.
Library of Congress Subject Headings
System analysis; Nonlinear oscillations
Department, Program, or Center
Mechanical Engineering (KGCOE)
Lee, Jungkun, "Optimal linearization of anharmonic oscillators" (1991). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus