Abstract

SummarySimple pendulum vibration absorbers, as one of the most common models of absorbers, experience nonlinear behaviors in the large amplitude of oscillations, and under such conditions, they are not effective enough and are more prone to lose their stability. To overcome some of these drawbacks, a complementary damping mechanism including two nonlinear elements is introduced. Alongside the ordinary linear viscous damper, a damping mechanism is also utilized to control the oscillations of the dynamic structure exposed to the excitation forces more intense than the ones considered in the optimization. In other words, they make this system more robust and stable in the face of excitations stronger than the presupposed conditions. The complementary elements of this mechanism are proposed to offer an appropriate approximation of various likely models which can be used as practical nonlinear damping mechanisms. The steady‐state solutions of the nonlinear governing equations are achieved with pinpoint precision with the help of the harmonic balance method and more precise approximations of trigonometric functions. To enhance the impacts of this mechanism, optimization is performed for a compound objective function in addition to the conventional one. This study explains how such mechanisms are capable of contributing to the higher robustness and stability of pendulum vibration absorbers under a wider range of excitation intensities. The performance of this absorber is also studied for an N‐story shear structure as a multidegree of freedom (MDOF) system.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.