IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v92y2016icp101-114.html
   My bibliography  Save this article

Probabilistic behavior analysis of a sandwiched buckled beam under Gaussian white noise with energy harvesting perspectives

Author

Listed:
  • Mokem Fokou, I.S.
  • Nono Dueyou Buckjohn, C.
  • Siewe Siewe, M.
  • Tchawoua, C.

Abstract

In this paper, a sandwiched buckled beam with axial compressive force under Gaussian white noise is considered as a piezoelectric energy harvester. A stochastic averaging method is proposed to analytically predict the system’s response, the stability and the estimation of system’s reliability. By using the generalized harmonic transformation, the Itô differential equations with respect to the mechanical and electrical amplitude are derived through this technique. From these differential equations, we construct the Fokker–Plank–Kolmogorov equation for the electrical and mechanical subsystem where the solution of each equation in the stationary state is a probability density. The mean first passage time (MFPT) is numerically provided in order to study the attractor stability(stable equilibrium point observed in the effective potential) which give rise to the noise-enhanced stability(NES) phenomenon. The mean square response and voltage are obtained for different white noise intensities and others system parameters. The effects of linear damping and noise intensity on the mean square voltage are investigated. We notice that harvested energy can be enhanced by suitable choice of noise intensity and others system parameters. In additional, by combining the random signal with harmonic excitation, the stochastic resonance(SR) phenomenon is observed via the mean residence time(TMR) which give rise to the large amplitude of vibrations and consequently, an optimization of harvested energy. The agreements between the analytical method and those obtained numerically validate the effectiveness of analytical investigations.

Suggested Citation

  • Mokem Fokou, I.S. & Nono Dueyou Buckjohn, C. & Siewe Siewe, M. & Tchawoua, C., 2016. "Probabilistic behavior analysis of a sandwiched buckled beam under Gaussian white noise with energy harvesting perspectives," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 101-114.
    • Handle: RePEc:eee:chsofr:v:92:y:2016:i:c:p:101-114
    DOI: 10.1016/j.chaos.2016.09.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077916302673
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2016.09.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. B. Spagnolo & A. Dubkov & N. Agudov, 2004. "Enhancement of stability in randomly switching potential with metastable state," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 40(3), pages 273-281, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liu, Di & Xu, Yong & Li, Junlin, 2017. "Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 806-812.
    2. Fezeu, G.J. & Fokou, I.S. Mokem & Buckjohn, C. Nono Dueyou & Siewe Siewe, M. & Tchawoua, C., 2020. "Resistance induced P-bifurcation and Ghost-Stochastic resonance of a hybrid energy harvester under colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
    3. Guo, Shu-Ling & Yang, Yong-Ge & Sun, Ya-Hui, 2021. "Stochastic response of an energy harvesting system with viscoelastic element under Gaussian white noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Yang, Tao & Cao, Qingjie, 2020. "Dynamics and high-efficiency of a novel multi-stable energy harvesting system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    5. Tingting Zhang & Yanfei Jin, 2024. "Stochastic optimal control of a tri-stable energy harvester with the P-SSHI circuit under colored noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(1), pages 1-13, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Jian & Qiao, Zijian & Ding, Xiaojian & Hu, Bing & Zang, Chuanlai, 2021. "Stochastic resonance induced weak signal enhancement over controllable potential-well asymmetry," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Li, Jiangcheng & Zhang, Chunmin & Liu, Jifa & Li, Zhen & Yang, Xuan, 2018. "An application of Mean Escape Time and metapopulation on forestry catastrophe insurance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 312-323.
    3. Choi, Woo Sik & Jang, Jun Tae & Kim, Donguk & Yang, Tae Jun & Kim, Changwook & Kim, Hyungjin & Kim, Dae Hwan, 2022. "Influence of Al2O3 layer on InGaZnO memristor crossbar array for neuromorphic applications," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    4. Setoudeh, Farbod & Dezhdar, Mohammad Matin & Najafi, M., 2022. "Nonlinear analysis and chaos synchronization of a memristive-based chaotic system using adaptive control technique in noisy environments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    5. Chun Zhang & Tao Yang & Shi-Xian Qu, 2021. "Impact of time delays and environmental noise on the extinction of a population dynamics model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-16, November.
    6. Yablokov, A.A. & Glushkov, E.I. & Pankratov, A.L. & Gordeeva, A.V. & Kuzmin, L.S. & Il’ichev, E.V., 2021. "Resonant response drives sensitivity of Josephson escape detector," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    7. Alsuwian, Turki & Kousar, Farhana & Rasheed, Umbreen & Imran, Muhammad & Hussain, Fayyaz & Arif Khalil, R.M. & Algadi, Hassan & Batool, Najaf & Khera, Ejaz Ahmad & Kiran, Saira & Ashiq, Muhammad Naeem, 2021. "First principles investigation of physically conductive bridge filament formation of aluminum doped perovskite materials for neuromorphic memristive applications," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    8. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2021. "A novel underdamped continuous unsaturation bistable stochastic resonance method and its application," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    9. Revin, L.S. & Pankratov, A.L., 2021. "Detection of bias inhomogeneity in Josephson junctions by switching current distributions," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    10. Li, Chen-Pu & Chen, Hong-Bin & Fan, Hong & Xie, Ge-Ying & Zheng, Zhi-Gang, 2018. "Cooperation and competition between two symmetry breakings in a coupled ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 175-185.
    11. Wu, Jian-Li & Duan, Wei-Long & Luo, Yuhui & Yang, Fengzao, 2020. "Time delay and non-Gaussian noise-enhanced stability of foraging colony system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    12. Taheri, Alireza Ghomi & Setoudeh, Farbod & Tavakoli, Mohammad Bagher & Feizi, Esmaeil, 2022. "Nonlinear analysis of memcapacitor-based hyperchaotic oscillator by using adaptive multi-step differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    13. Setoudeh, Farbod & Dousti, Massoud, 2022. "Analysis and implementation of a meminductor-based colpitts sinusoidal oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    14. Du, Chuanhong & Liu, Licai & Zhang, Zhengping & Yu, Shixing, 2021. "Double memristors oscillator with hidden stacked attractors and its multi-transient and multistability analysis," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    15. Ma, Tianchi & Shen, Junxian & Song, Di & Xu, Feiyun, 2022. "Unsaturated piecewise bistable stochastic resonance with three kinds of asymmetries driven by multiplicative and additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    16. Setoudeh, F. & Sedigh, A. Khaki, 2021. "Nonlinear analysis and minimum L2-norm control in memcapacitor-based hyperchaotic system via online particle swarm optimization," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    17. Wang, Weiwei & Ralescu, Dan A., 2021. "Valuation of lookback option under uncertain volatility model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    18. Zhou, Ping & Yao, Zhao & Ma, Jun & Zhu, Zhigang, 2021. "A piezoelectric sensing neuron and resonance synchronization between auditory neurons under stimulus," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    19. Mahata, Chandreswar & Kim, Sungjun, 2021. "Electrical and optical artificial synapses properties of TiN-nanoparticles incorporated HfAlO-alloy based memristor," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    20. Ryu, Hojeong & Kim, Sungjun, 2021. "Implementation of a reservoir computing system using the short-term effects of Pt/HfO2/TaOx/TiN memristors with self-rectification," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:92:y:2016:i:c:p:101-114. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.