Vibration energy harvesting from a nonlinear standing beam-mass system using a two-mode approximation

S. A. M. Lajimi; M. I. Friswell

doi:10.1117/12.2084468

2 April 2015 Vibration energy harvesting from a nonlinear standing beam-mass system using a two-mode approximation

S. A. M. Lajimi, M. I. Friswell

Proceedings Volume 9431, Active and Passive Smart Structures and Integrated Systems 2015; 94310P (2015) https://doi.org/10.1117/12.2084468
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2015, San Diego, California, United States

Abstract

For a nonlinear beam-mass system used to harvest vibratory energy, the two-mode approximation of the response is computed and compared to the single-mode approximation of the response. To this end, the discretized equations of generalized coordinates are developed and studied using a computational method. By obtaining phase-portraits and time-histories of the displacement and voltage, it is shown that the strong nonlinearity of the system affects the system dynamics considerably. By comparing the results of single- and two-mode approximations, it is shown that the number of mode shapes affects the dynamics of the response. Varying the tip-mass results in different structural configurations namely linear, pre-buckled nonlinear, and post-buckled nonlinear configurations. The nonlinear dynamics of the system response are investigated for vibrations about static equilibrium points arising from the buckling of the beam. Furthermore, it is demonstrated that the harvested power is affected by the system configuration.

Citation Download Citation

S. A. M. Lajimi and M. I. Friswell "Vibration energy harvesting from a nonlinear standing beam-mass system using a two-mode approximation", Proc. SPIE 9431, Active and Passive Smart Structures and Integrated Systems 2015, 94310P (2 April 2015); https://doi.org/10.1117/12.2084468

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