The Hopf bifurcation and limit cycle by the incremental harmonic balance method

Nonlinear Oscillations

Ali H. Nayfeh, Dean T. Mook, Phillip Holmes · Journal of Applied Mechanics · 1980 · 4.7K citations

Natural Sciences, Physics, Differential Equations +8

Efficient numerical treatment of periodic systems with application to stability problems

Peretz P. Friedmann, C. E. Hammond, Tze‐Hsin Woo · International Journal for Numerical Methods in Engineering · 1977 · 309 citations

Engineering, Aerospace Engineering, Mechanical Engineering +17

Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems

S.L. Lau, Y.K. Cheung · Journal of Applied Mechanics · 1981 · 296 citations

Engineering, Mechanical Engineering, Computational Mechanics +16

Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method

Christophe Pierre, Aldo A. Ferri, Earl H. Dowell · Journal of Applied Mechanics · 1985 · 208 citations

Engineering, Mechanical Engineering, Computational Mechanics +16

A Variable Parameter Incrementation Method for Dynamic Instability of Linear and Nonlinear Elastic Systems

S.L. Lau, Y.K. Cheung, Shijing Wu · Journal of Applied Mechanics · 1982 · 162 citations

Engineering, Mechanical Engineering, Computational Mechanics +15