Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4976605 | Mechanical Systems and Signal Processing | 2018 | 11 Pages |
Abstract
Generalized methods are presented for generating and solving the harmonic balance equations for a broad class of nonlinear differential or difference equations and for a general set of harmonics chosen by the user. In particular, a new algorithm for automatically generating the Jacobian of the balance equations enables efficient solution of these equations using continuation methods. Efficient numeric validation techniques are also presented, and the combined algorithm is applied to the analysis of dc, fundamental, second and third harmonic response of a nonlinear automotive damper.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
J.C. Peyton Jones, K.S.A. Yaser, J. Stevenson,