Abstract
The synchronization pattern of the coupled pendulums is vital in the design of pendulum energy harvesters. This understanding will help in optimizing the design of the harvester. Typically, the numerical solutions of these problems are initial-condition dependent and solved using time-consuming numerical integration techniques. Semi-analytical methods can effectively find system responses compared to nonlinear normal modes and then calculate the response. Semi-analytical methods are faster as one looks for periodic/quasi-periodic solutions. However, direct application in solving homogeneous equations using semi-analytical methods is complex. Hence, in the present paper, the synchronization nature of multi-degrees of freedom pendulum system was evaluated using multi-harmonic energy balance method (MHEBM), with different energy distribution between mass elements. Here, the proposed method is validated using a 2 DOF system with one pendulum and a 3 DOF system with two pendulums. The present study considers MHEBM with two independent time scales for solving quasi-periodic responses. Numerical integration results and analytical solutions for the linearized system (derived and solved using the method of characteristics) validate the proposed method. The ability of the system to get into in-phase and out-of-phase synchronization with different energy distributions is also demonstrated.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
