Revealing dynamics of systems with localized nonlinearity: harnessing nonlinear substructuring

Activity: Talks and presentationsConference presentations

Description

In many engineering structures, localized behaviors, such as contact, cracks, and joints, make the dynamics of the whole system nonlinear. Analyzing these systems is computationally expensive and requires model order reduction in order to obtain solutions in reasonable time. In this presentation, a new nonlinear dynamic substructuring technique is introduced in the frequency domain, and its application through different case studies is discussed. The method uses the fact that each substructure behaves linearly, and nonlinearity is localized in limited degrees of freedom in the system despite the whole system behaving nonlinearly. By using this technique along with the multi-harmonic balance method, the required number of nonlinear equations will be reduced to half of the number of nonlinear DOFs in the system. The resulting non-linear system of equation is solved using Newton’s method with prediction-correction scheme and continuation. Nonlinear frequency response functions for different harmonics have been derived for systems with contact and nonlinear energy sink. The results reveal nonlinear behavior in such a system, such as hardening, highlighting the necessity of nonlinear modeling.
Period6 Mar 2024
Event titleDCAMM 19th Internal Symposium
Event typeConference
LocationSvendborg, DenmarkShow on map
Degree of RecognitionNational