A multiharmonic method for non‐linear vibration analysis

A multiharmonic method for analysis of non-linear dynamic systems submitted to periodic loading conditions is presented. The approach is based on a systematic use of the fast Fourier transform. The exact linearization of the resulting equations in the frequency domain allows to obtain full quadratic convergence rate

[1]  P. Friedmann Numerical methods for the treatment of periodic systems with applications to structural dynamics and helicopter rotor dynamics , 1990 .

[2]  S. Lau,et al.  Nonlinear Vibrations of Piecewise-Linear Systems by Incremental Harmonic Balance Method , 1992 .

[3]  J. Meijaard Direct determination of periodic solutions of the dynamical equations of flexible mechanisms and manipulators , 1991 .

[4]  Y. Cheung,et al.  A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems , 1982 .

[5]  S. T. Noah,et al.  Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach , 1991 .

[6]  Earl H. Dowell,et al.  Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method , 1985 .

[7]  Jhy-Horng Wang,et al.  Investigation of the Vibration of a Blade With Friction Damper by HBM , 1992 .

[8]  C. E. Hammond,et al.  Efficient numerical treatment of periodic systems with application to stability problems. [in linear systems and structural dynamics] , 1977 .

[9]  F. H. Ling,et al.  Fast galerkin method and its application to determine periodic solutions of non-linear oscillators , 1987 .

[10]  A. Kanarachos,et al.  A Galerkin method for the steady state analysis of harmonically excited non-linear systems , 1992 .

[11]  Y. K. Cheung,et al.  Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems , 1981 .

[12]  J. Griffin,et al.  An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems , 1989 .