TY - JOUR N2 - In this paper we present a mixed shooting – harmonic balance method for large linear mechanical systems on which local nonlinearities are imposed. The standard harmonic balance method (HBM), which approximates the periodic solution in frequency domain, is very popular as it is well suited for large systems with many degrees of freedom. However, it suffers from the fact that local nonlinearities cannot be evaluated directly in the frequency domain. The standard HBM performs an inverse Fourier transform, then calculates the nonlinear force in time domain and subsequently the Fourier coefficients of the nonlinear force. The disadvantage of the HBM is that strong nonlinearities are poorly represented by a truncated Fourier series. In contrast, the shooting method operates in time-domain and relies on numerical time-simulation. Set-valued force laws such as dry friction or other strong nonlinearities can be dealt with if an appropriate numerical integrator is available. The shooting method, however, becomes infeasible if the system has many states. The proposed mixed shooting-HBM approach combines the best of both worlds. L1 - http://journals.pan.pl/Content/85135/mainfile.pdf L2 - http://journals.pan.pl/Content/85135 PY - 2016 IS - No 2 EP - 314 DO - 10.1515/meceng-2016-0017 KW - shooting method KW - harmonic balance method KW - local nonlinearities KW - periodic solutions KW - nonsmooth dynamics A1 - Schreyer, Frederic A1 - Leine, Remco I. PB - Polish Academy of Sciences, Committee on Machine Building VL - vol. 63 DA - 2016.06.29 T1 - A mixed shooting – harmonic balance method for unilaterally constrained mechanical systems SP - 297 UR - http://journals.pan.pl/dlibra/publication/edition/85135 T2 - Archive of Mechanical Engineering ER -