• International Journal of Technology (IJTech)
  • Vol 13, No 4 (2022)

Evaluation on Piezoaeroelastic Energy Harvesting Potential of A Jet Transport Aircraft Wing with Multiphase Composite by means of Iterative Finite Element Method

Evaluation on Piezoaeroelastic Energy Harvesting Potential of A Jet Transport Aircraft Wing with Multiphase Composite by means of Iterative Finite Element Method

Title: Evaluation on Piezoaeroelastic Energy Harvesting Potential of A Jet Transport Aircraft Wing with Multiphase Composite by means of Iterative Finite Element Method
Mahesa Akbar, Mileniawan Januar Ramadhani, Mohammad Arif Izzuddin, Leonardo Gunawan, Rianto Adhy Sasongko, Muhammad Kusni, Jose Luis Curiel-Sosa

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Cite this article as:
Akbar, M., Ramadhani, M.J., Izzuddin, M.A., Gunawan, L., Sasongko, R.A., Kusni, M., Curiel-Sosa, J.L., 2022. Evaluation on Piezoaeroelastic Energy Harvesting Potential of A Jet Transport Aircraft Wing with Multiphase Composite by means of Iterative Finite Element Method. International Journal of Technology. Volume 13(4), pp. 803-815

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Mahesa Akbar Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Mileniawan Januar Ramadhani Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Mohammad Arif Izzuddin Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Leonardo Gunawan Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Rianto Adhy Sasongko Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Muhammad Kusni Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Jose Luis Curiel-Sosa Department of Mechanical Engineering, The University of Sheffield, Mappin Street, Sheffield S13JD, United Kingdom
Email to Corresponding Author

Abstract
Evaluation on Piezoaeroelastic Energy Harvesting Potential of A Jet Transport Aircraft Wing with Multiphase Composite by means of Iterative Finite Element Method

This paper presents new insight on the potential of piezoaeroelastic energy harvesting on the transport aircraft wing structure. A novel numerical investigation is conducted in the present study. An advanced iterative finite element method (FEM) is applied to estimate the amount of harvested energy. Currently, FEM-based commercial software has a limited application on piezoelectric structures, i.e., actuator and sensor. The iterative FEM algorithm extends the commercial software implementation for the energy harvesting analysis. The multidisciplinary issue of the aeroelastic phenomenon and piezoelectric energy harvesting is evaluated in the present case. Likewise, interestingly, stress and failure analysis of a lifting surface with an active energy harvesting component could be enabled. Implementation of a wing with an embedded piezoelectric layer is concerned. A cruise flight condition and gust disturbance are evaluated. The analysis concerning the occurrence of gust also provides a more realistic insight into the power harvested during a flight operation.

Aircraft wing; Energy harvesting; Gust load; Iterative FEM; Piezoaeroelastic

Introduction

Many researchers have been attracted by multifunctional material systems in the past few decades (Ferreira et al., 2016; Sairajan et al., 2016). The article by Christodolou and Venables (Christodoulou & Venables, 2003) is one of the earliest publications on this subject. They highlighted the combination of structural functions, i.e., load-bearing, with power generation, the so-called structural-power system.
    In the new and renewable energy topic, many studies and technologies rely on ambient sources, i.e., wind, thermal, and solar (Krasniqi et al., 2022; Brazovskaia & Gutman, 2021; Guenther, 2018; Hafizh et al., 2018; Selvan & Ali, 2016; Thomas et al., 2006). In terms of structural-power systems, piezoelectric energy harvesting has been one of the promising subjects (Anton & Sodano, 2007). In a lifting structure, i.e., aircraft, the vibration exerted by the fluid-structure interaction is one of the sources to harvest the  energy (Abdelkefi, 2016; Li et al., 2016; Rostami & Armandei, 2017).

Anton and Inman (2008) pioneered the experimental study on piezoelectric energy harvesting from aircraft structures. They have successfully flight-tested a remote control aircraft with active piezoelectric energy harvesters attached to the wing spars and fuselage. Numerous mathematical and computational methods have also been studied.

One of the first mathematical models on this topic was developed by Erturk et al. (2010). They coined the term piezoaeroelastic energy harvesting, which defines the energy harvesting from aeroelastic vibration of the piezoelectric-based structure. Their proposed mathematical model concerns a flutter-based energy harvesting from 2 Degree-of-Freedoms (DoF) airfoil. They have also performed a wind tunnel test for validation.

Following the success of the airfoil model, higher fidelity computational models have been developed. Planar lifting structure models were proposed for time-domain ( De-Marqui et al., 2010) and frequency-domain ( De-Marqui al., 2011) problems. The models utilized the electromechanical shell element  ( De-Marqui et al., 2009).

Although a significant number of studies involved with experimental fluid-structure interaction tests, there is a lack of investigation concerning more functional aerodynamic conditions (Abdelkefi, 2016). Most of studies focused on instability and resonance conditions, i.e., flutter, galloping, and vortex induced vibration (Rostami & Armandei, 2017). However, an instability or resonance phenomenon could lead to a structural failure.

To the authors' knowledge, only a few publications discussed the development of models concerning piezoaeroelastic energy harvesting from operational aerodynamic conditions. The investigation on energy harvesting from discrete gust loads, i.e., 1-cosine and square gusts, were discussed by Xiang et al. (2015), Bruni et al. (2017), Cheng et al. (2019), Saporito and Da-Ronch (2020). Tsushima and Su (2016) presented a computational model to evaluate turbulence conditions. They  extended their model in combination with an active control system (Tsushima & Su, 2017).

Akbar and Curiel-Sosa investigated the cruise flight condition of a civil jet transport aircraft in (Akbar & Curiel-Sosa, 2016). Akbar and Curiel-Sosa (2018) discussed the extension of this study in their article. By implementing multiphase piezoelectric composites, it was claimed up to 40 kW of power can be harvested and may be used as an alternative for reducing the fuel consumption (Akbar & Curiel-Sosa, 2018). However, the computational tools were limited on a harmonic bending motion. Furthermore, the studies neglected the two-ways coupling between the aerodynamic loads and the structural deformation. Therefore, one of the research gaps is on the investigation of a more realistic load case, i.e., involved a more sophisticated interaction concerning aerodynamics, structures and electrical domains. In the present work, thus, the main problem statement is how to evaluate a more realistic load case using numerical methods.

A so-called iterative finite element method (FEM), was proposed by Akbar and Curiel-Sosa (2019). The iterative FEM was developed to use FEM-based commercial software with augmentation of a simple computational program to evaluate electromechanical coupling of energy harvesting cases. This method has been validated and proven to estimate the energy harvested from lifting structures, i.e., bimorph plate and UAV wing.

In the present work, for the first time, the iterative FEM is utilized to investigate the energy harvesting potential of a jet transport aircraft wing. Hence, enabling the evaluation for a more practical flight condition, i.e., aeroelastic condition concerning a cruise flight and discrete 1-cosine gust disturbance. Various gust velocities considering the occurrence probability are concerned. The following sections present the fundamental of the iterative FEM and the results of the aircraft wing numerical investigation. 

Conclusion

The iterative FEM scheme implementation provides a more realistic flight loading approach to the wing structure of a jet transport airplane imposed by cruise load and gust disturbance. The analyses discussed in this paper have integrated the aeroelastic aspects with structural dynamic and unsteady aerodynamic numerical model. The use of commercial software in iterative FEM has allowed for the evaluation of numerous forms of structural analyses, such as gust and failure modules. The stress and failure studies of the wing, when subjected to the gust load and harvesting the energy, were undertaken in this work. The wingbox is safe even when confronting a high wind while generating the electrical power, according to the failure study. Thus, the multidisciplinary problem concerning structural strength, aeroelastic vibration, and energy harvesting, can be solved with this iterative FEM scheme. This study depicted a more practical result by utilizing a more realistic load model for gust and cruise loads. The gust's response pointed out that structural vibration was quickly damped during a cruise flight; thus, the maximum gathered power being attained in a relatively short time. Furthermore, a significant amplitude gust may only occur once at a given distance, preventing continuous power harvesting via structural vibration owing to aeroelastic gust throughout a typical flight. According to the data presented in this paper, the energy captured during a typical cruise flight under gust perturbation is likely low compared to the energy delivered by the aircraft system, such as the Auxiliary Power Unit. Therefore, the piezoelectric energy harvesting structure is not feasible to support the aircraft's main power supply. The gathered energy, on the other hand, might be utilized to improve the efficiency of other aircraft systems, i.e., active disturbance control, such as a gust alleviation system.

Acknowledgement

The authors would like to thank Mr. Nanda Wirawan (National Research and Innovation Agency of Indonesia) for his assistance with the computational work. We also appreciate the support offered by the ITB Research, Community Service, and Innovation Program (P2MI ITB) under grant no. 2C/IT1.C04/SK/KP/2021.

References

Abdelkefi, A., 2016. Aeroelastic Energy Harvesting: a Review. International Journal of Engineering Science, Volume 100, pp. 112135

Ainsworth, J., Collier, C., Yarrington, P., Lucking, R., Locke, J., 2010. Airframe Wingbox Preliminary Design and Weight Prediction. In: 69th International Conference on Mass Properties, Virginia Beach, Virginia, pp. 155195

Akbar, M., Curiel-Sosa, J.L., 2016. Piezoelectric Energy Harvester Composite under Dynamic Bending with Implementation to Aircraft Wingbox Structure. Composite Structures, Volume 153, pp. 193203

Akbar, M., Curiel-Sosa, J.L., 2018. Implementation of Multiphase Piezoelectric Composites Energy Harvester on Aircraft Wingbox Structure with Fuel Saving Evaluation. Composite Structures, Volume 202, pp. 10001020

Akbar, M., Curiel-Sosa, J.L., 2019. An Iterative Finite Element Method for Piezoelectric Energy Harvesting Composite with Implementation to Lifting Structures under Gust Load Conditions. Composite Structures, Volume 219, pp. 97–110

Anton, S.R., Erturk, A., Inman, D.J., 2012. Bending Strength of Piezoelectric Ceramics and Single Crystals for Multifunctional Load-Bearing Applications. IEEE Transactions on  Ultrasonics Ferroelectronics and Frequency Control, Volume 59(6), pp. 10851092

Anton, S.R., Inman, D.J., 2008. Vibration Energy Harvesting for Unmanned Aerial Vehicles. In: Proceeding of  SPIE-Active and Passive Smart Structures Integrated Systems, Volume 6928, p. 692824

Anton, S.R., Sodano, H.A., 2007. A Review of Power Harvesting using Piezoelectric Materials (2003-2006). Smart Materials and Structures, Volume 16(3), pp. 121

Brazovskaia, V., Gutman, S., 2021. Classification of Regions by Climatic Characteristics for the Use of Renewable Energy Sources. International  Journal of Technology, Volume 12(7), pp. 15371545

Bruni, C., Gibert, J., Frulla, G., Cestino, E., Marzocca, P., 2017. Energy Harvesting from Aeroelastic Vibrations Induced by Discrete Gust Loads. Journal of Intelligent Material Systems and Structures, Volume 28(1), pp. 4762

Cheng, Y, Li, D., Xiang, J., Ronch, A.D., 2019. Energy Harvesting Performance of Plate Wing from Discrete Gust Excitation. Aerospace, Volume 6(3), pp. 37–49

Christodoulou, L., Venables, J.D., 2003. Multifunctional Material Systems: the First Generation. JOM: the journal of the Minerals Metals & Materials Society, Volume 55(12), pp. 39–45.

De-Marqui, J.C., Erturk, A., Inman, D.J., 2009. An Electromechanical Finite Element Model for Piezoelectric Energy Harvester Plates. Journal of Sound and Vibration, Volume 327(1), pp. 9–25

De-Marqui, J.C., Erturk, A., Inman, D.J., 2010. Piezoaeroelastic Modeling and Analysis of a Generator Wing with Continuous and Segmented Electrodes. Journal Intelligent Material Systems and Structures, Volume 21(10), pp. 983–993

De-Marqui, J.C., Vieira, W.G.R., Erturk, A., Inman, D.J., 2011. Modeling and Analysis of Piezoelectric Energy Harvesting from Aeroelastic Vibrations using the Doublet-Lattice Method. Journal of Vibration and Acoustics, Volume  133(1), p. 011003

Erturk, A., Vieira, W.G.R., De-Marqui, J.C., Inman, D.J., 2010. On the Energy Harvesting Potential of Piezoaeroelastic Systems. Applied Physics Letters, Volume 96(18), p. 184103

Ferreira, A.D.B.L., Nóvoa, P.R.O., Marques, A.T., 2016. Multifunctional Material Systems: A State-of-the-Art Review. Composite Structures, Volume 151, pp. 3–35

Guenther, M., 2018. Challenges of a 100% Renewable Energy Supply in the Java-Bali Grid. International Journal of Technology, Volume 9(2), pp. 257–266

Hafizh, H., Hamsan, R., Zamri, A.A.A., Keprawi, M.F.M., Hiromichi, S., 2018. Solar Updraft Power Generator with Radial and Curved Vanes. In: AIP Conference Proceeding, Volume 1930(1), p. 020018

Krasniqi, G., Dimitrieska, C., Lajqi, S., 2022. Wind Energy Potential in Urban Area: Case study Prishtina. International Journal of Technology, Volume 13(3), pp. 458–472

Li, D., Wu, Y., Ronch, A.D., Xiang, J., 2016. Energy Harvesting by Means of Flow-Induced Vibrations on Aerospace Vehicles. Progress in Aerospace Sciences, Volume 86, pp. 28–62

Matweb, 2001. Aluminum 2219-Material Data. Available online at http://www.matweb.com/, Accessed on December 2021

Rostami, A.B., Armandei, M., 2017. Renewable Energy Harvesting by Vortex-Induced Motions: Review and Benchmarking of Technologies. Renewable and Sustainable Energy Reviews, Volume 70, pp. 193–214

Sairajan, K.K., Aglietti, G.S., Mani, K.M., 2016. A Review of Multifunctional Structure Technology for Aerospace Applications. Acta Astronautica, Volume 120, pp. 30–42

Saporito, M., Da-Ronch, A., 2020. Aeroelastic Energy Harvesting from Statistically Representative Gust Encounters. Journal of Fluids and Structures, Volume 94, p. 102869

Selvan, K.V., Ali, M.S.M., 2016. Micro-Scale Energy Harvesting Devices: Review of Methodological Performances in the Last Decade. Renewable and Sustainable Energy Reviews, Volume 54, pp. 1035–1047

Thomas, J.P., Qidwai, M.A., Kellogg, J.C., 2006. Energy Scavenging for Small-Scale Unmanned Systems. Journal of Power Sources, Volume 159(2), pp. 1494–1509

Tsushima, N., Su, W., 2016. Modeling of Highly Flexible Multifunctional Wings for Energy Harvesting. Journal of Aircraft, Volume 53(4), pp. 1033–1044

Tsushima, N., Su, W., 2017. Concurrent Active Piezoelectric Control and Energy Harvesting of Highly Flexible Multifunctional Wings. Journal of Aircraft, Volume 54(2), pp. 724–736

Xiang, J., Wu, Y., Li, D., 2015. Energy Harvesting from the Discrete Gust Response of a Piezoaeroelastic Wing: Modeling and Performance Evaluation. Journal of Sound Vibration, Volume 343, pp. 176–193