Among all the difficulties to acquire a simulation with good validation of an original model, the nonlinearites effect which in some simple models or in some special cases sometimes neglected makes great difference. So the simulation of the nonlinear dynamic system is a hard work in the field of the computational mechanics. The whole work in this thesis focuses on using the harmonic balance method (HBM) to solve the nonlinear system to obtain the nonlinear frequency response function. Because of the drawback of the HBM, the computational burden sometimes can be piled up to reach a really high level. So model order reduction technique is applied to tackle such a problem. Some algorithms are displayed to show the whole procedure and results with some plots are analysed and compared to observe the improvements and potential of such a combination.     «

Among all the difficulties to acquire a simulation with good validation of an original model, the nonlinearites effect which in some simple models or in some special cases sometimes neglected makes great difference. So the simulation of the nonlinear dynamic system is a hard work in the field of the computational mechanics. The whole work in this thesis focuses on using the harmonic balance method (HBM) to solve the nonlinear system to obtain the nonlinear frequency response function. Becau...     »