DataVXInternational Journal of Mechanics and Materials in DesignPaper
journal article·2026-03

Optimization of ring shell structures with multiple flexoelectric actuators based on sequential quadratic programming

Yiming Li, Jie Zhang, Mu Fan, Zhongmin Xiao

International Journal of Mechanics and Materials in Design· Volume 22· Issue 1
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OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Advanced Materials and Mechanics · Composite Structure Analysis and Optimization

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References (44)

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1. Bhaskar, U.K., Banerjee, N., Abdollahi, A., Solanas, E., Rijnders, G., Catalan, G.: Flexoelectric MEMS: towards an electromechanical strain diode. Nanoscale 8, 1293–1298 (2016). https://doi.org/10.1039/C5NR06514C10.1039/C5NR06514C ↗
2. Chen, Y., Ding, Y.: Posture optimization in robotic flat-end milling based on sequential quadratic programming. J. Manuf. Sci. Eng. 145, 061001 (2023). https://doi.org/10.1115/1.405670710.1115/1.4056707 ↗
3. Deng, B., Li, H. and Tzou, H.: Flexoelectric actuation and vibration control of ring shells. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, (2015). American Society of Mechanical Engineers, V008T13A010. https://doi.org/10.1115/1.403609710.1115/1.4036097 ↗
4. Deng, Q., Lv, S., Li, Z., Tan, K., Liang, X., Shen, S.: The impact of flexoelectricity on materials, devices, and physics. J. Appl. Phys. (2020). https://doi.org/10.1063/5.001598710.1063/5.0015987 ↗
5. Ellison, J., Ahmadi, G., Kehoe, M.: Passive vibration control of airborne equipment using a circular steel ring. J. Sound Vib. 246, 1–28 (2001). https://doi.org/10.1006/jsvi.2000.311610.1006/jsvi.2000.3116 ↗
6. Fan, Z., Zhu, C., Song, C.: Dynamic analysis of planetary gear transmission system considering the flexibility of internal ring gear. Iran. J. Sci. Technol. Trans. Mech. Eng. 44, 695–706 (2020). https://doi.org/10.1007/s40997-019-00290-310.1007/s40997-019-00290-3 ↗
7. Gao, X., Yang, J., Wu, J., Xin, X., Li, Z., Yuan, X., Shen, X., Dong, S.: Piezoelectric actuators and motors: materials, designs, and applications. Adv. Mater. Technol. 5, 1900716 (2020). https://doi.org/10.1002/admt.20190071610.1002/admt.201900716 ↗
8. Ghasemi, H., Park, H.-S., Zhuang, X., Rabczuk, T.: Three-dimensional isogeometric analysis of flexoelectricity with MATLAB implementation. Comput. Mater. Contin. 65, 1157–1179 (2020). https://doi.org/10.32604/cmc.2020.0835810.32604/cmc.2020.08358 ↗
9. Ghasemi, H., Park, H.S., Rabczuk, T.: A level-set based IGA formulation for topology optimization of flexoelectric materials. Comput. Methods Appl. Mech. Eng. 313, 239–258 (2017). https://doi.org/10.1016/j.cma.2016.09.02910.1016/j.cma.2016.09.029 ↗
10. Ghasemi, H., Park, H.S., Rabczuk, T.: A multi-material level set-based topology optimization of flexoelectric composites. Comput. Methods Appl. Mech. Eng. 332, 47–62 (2018). https://doi.org/10.1016/j.cma.2017.12.00510.1016/j.cma.2017.12.005 ↗
11. Han, Q., Yan, D., Mu, F., Hornsen, T.: Dynamic analysis of cylindrical shells with flexoelectric actuation. AIAA J. 61, 1807–1819 (2023). https://doi.org/10.2514/1.J06226010.2514/1.J062260 ↗
12. Hasan, M.S., Chowdhury, M.M.-U.-T., Kamalasadan, S.: Sequential quadratic programming (SQP) based optimal power flow methodologies for electric distribution system with high penetration of DERs. IEEE Trans. Ind. Appl. (2024). https://doi.org/10.1109/TIA.2024.337142810.1109/TIA.2024.3371428 ↗
13. Hoang, V.N.V., Thanh, P.T.: Nonlinear dynamics of fluid-filled nanocomposite cylindrical shells surrounded by non-uniform Kerr elastic substrates. Int. J. Struct. Stab. Dyn. 25, 2550133 (2025). https://doi.org/10.1142/s021945542550133010.1142/s0219455425501330 ↗
14. Hong, H., Maity, A., Holzapfel, F.: Free final-time constrained sequential quadratic programming–based flight vehicle guidance. J. Guid. Control. Dyn. 44, 181–189 (2021). https://doi.org/10.2514/1.G00487410.2514/1.G004874 ↗
15. Hu, S., Li, H., Tzou, H.: Flexoelectric responses of circular rings. J. Vib. Acoust. 135, 021003 (2013). https://doi.org/10.1115/1.402304410.1115/1.4023044 ↗
16. Hu, S., Li, H., Tzou, H.: Comparison of flexoelectric and piezoelectric dynamic signal responses on flexible rings. J. Intell. Mater. Syst. Struct. 25, 832–844 (2014). https://doi.org/10.1177/1045389X1452170110.1177/1045389X14521701 ↗
17. Hu, S.D. and Tzou, H.D. Published. Signal analysis of flexoelectric transducers on rings. In: Proceedings of the 2010 Symposium on Piezoelectricity, Acoustic Waves and Device Applications. IEEE, pp 106–111 (2010) https://doi.org/10.1109/SPAWDA.2010.574428410.1109/SPAWDA.2010.5744284 ↗
18. Kameshwar, S., Padgett, J.E.: Stiffening ring design for prevention of storm-surge buckling in aboveground storage tanks. J. Struct. Eng. 145, 04019002 (2019). https://doi.org/10.1061/(ASCE)ST.1943-541X.000227510.1061/(ASCE)ST.1943-541X.0002275 ↗
19. Kundalwal, S., Shingare, K.: Electromechanical response of thin shell laminated with flexoelectric composite layer. Thin-Walled Struct. 157, 107138 (2020). https://doi.org/10.1016/j.tws.2020.10713810.1016/j.tws.2020.107138 ↗
20. Li, H., Hu, S., Tzou, H.: Modal signal analysis of conical shells with flexoelectric sensors. J. Intell. Mater. Syst. Struct. 26, 1551–1563 (2015). https://doi.org/10.1177/1045389X1454415010.1177/1045389X14544150 ↗
21. Lin, T.R., Pan, J., O’shea, P.J., Mechefske, C.K.: A study of vibration and vibration control of ship structures. Mar. Struct. 22, 730–743 (2009). https://doi.org/10.1016/j.marstruc.2009.06.00410.1016/j.marstruc.2009.06.004 ↗
22. Liu, B., Sarhosis, V., Lemos, J.V.: Quantification of the crack propagation and global failure mechanism of single-and multi-ring masonry arch bridges. Eng. Struct. 306, 117805 (2024). https://doi.org/10.1016/j.engstruct.2024.11780510.1016/j.engstruct.2024.117805 ↗
23. Ma, J., Xu, J., Li, J., Wang, B.: Enhanced flexoelectric response from functionally gradient electrets undergoing crumpling deformation. Acta Mech. Solida Sin. (2024). https://doi.org/10.1007/s10338-023-00453-510.1007/s10338-023-00453-5 ↗
24. Mao, Y., Ai, S., Xiang, X., Chen, C.: Theory for dielectrics considering the direct and converse flexoelectric effects and its finite element implementation. Appl. Math. Model. 40, 7115–7137 (2016). https://doi.org/10.1016/j.apm.2015.12.04210.1016/j.apm.2015.12.042 ↗
25. Mohith, S., Upadhya, A.R., Navin, K.P., Kulkarni, S., Rao, M.: Recent trends in piezoelectric actuators for precision motion and their applications: a review. Smart Mater. Struct. 30, 013002 (2020). https://doi.org/10.1088/1361-665X/abc6b910.1088/1361-665X/abc6b9 ↗
26. Nesterov, Y.: Universal gradient methods for convex optimization problems. Math. Program. 152, 381–404 (2015). https://doi.org/10.1007/s10107-014-0790-010.1007/s10107-014-0790-0 ↗
27. Nguyen, Q., Onur, M. and Alpak, F.O. Year, Published. Nonlinearly constrained life-cycle production optimization using sequential quadratic programming (SQP) with stochastic simplex approximated gradients (StoSAG). SPE Reservoir Simulation Conference, (2023). SPE, D011S002R001. https://doi.org/10.2118/212178-MS10.2118/212178-MS ↗
28. Nguyen, Q.M., Onur, M., Alpak, F.O.: Multi-objective optimization of subsurface CO 2 capture, utilization, and storage using sequential quadratic programming with stochastic gradients. Comput. Geosci. 28, 195–210 (2024). https://doi.org/10.1007/s10596-023-10213-610.1007/s10596-023-10213-6 ↗
29. Olso, E., Kyriakides, S.: Internal ring buckle arrestors for pipe-in-pipe systems. Int. J. Non-Linear Mech. 38, 267–284 (2003). https://doi.org/10.1016/S0020-7462(01)00112-310.1016/S0020-7462(01)00112-3 ↗
30. Shundi, H.: Electromechanical coupling, Distributed Sensing and Control of Flexoelectric/Piezoelectric Smart Stryctures. ZheJiang University) (2014)
31. Soedel, W.: Vibrations of shells and plates. CRC Press, Boca Raton (2004). https://doi.org/10.4324/978020302630410.4324/9780203026304 ↗
32. Sun, Z., Wei, J., Li, Y., Liu, Z., Xiahou, M., Chen, G., Zhao, L., Cheng, Z.: Coupling oxygen vacancy gradient distribution and flexoelectric effects for enhanced photovoltaic performance in bismuth ferrite films. Inorg. Chem. Front. 10, 1315–1327 (2023). https://doi.org/10.1039/D2QI02515A10.1039/D2QI02515A ↗
33. Tzou, H.: Piezoelectric shells. Springer, Berlin (1993)10.1007/978-94-011-1783-8 ↗
34. Tzou, H., Deng, B., Li, H.: Flexoelectric actuation and vibration control of ring shells. J. Vibrat. Acoust. 139, 031014 (2017a). https://doi.org/10.1115/1.403609710.1115/1.4036097 ↗
35. Tzou, H., Deng, B., Li, H.: Flexoelectric actuation and vibration control of ring shells. J. Vib. Acoust. 139, 031014 (2017b). https://doi.org/10.1115/1.403609710.1115/1.4036097 ↗
36. Tzou, H., Zhang, X.: A flexoelectric double-curvature nonlinear shell energy harvester. J. Vib. Acoust. 138, 031006 (2016). https://doi.org/10.1115/1.403271910.1115/1.4032719 ↗
37. Vu-Bac, N., Duong, T., Lahmer, T., Areias, P., Sauer, R., Park, H., Rabczuk, T.: A NURBS-based inverse analysis of thermal expansion induced morphing of thin shells. CMAME 350, 480–510 (2019). https://doi.org/10.1016/j.cma.2019.03.01110.1016/j.cma.2019.03.011 ↗
38. Vu-Bac, N., Duong, T.X., Lahmer, T., Zhuang, X., Sauer, R.A., Park, H., Rabczuk, T.: A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures. Comput. Methods Appl. Mech. Eng. 331, 427–455 (2018). https://doi.org/10.1016/j.cma.2017.09.03410.1016/j.cma.2017.09.034 ↗
39. Vu-Bac, N., Rabczuk, T., Park, H., Fu, X., Zhuang, X.: A NURBS-based inverse analysis of swelling induced morphing of thin stimuli-responsive polymer gels. CMAME 397, 115049 (2022). https://doi.org/10.1016/j.cma.2022.11504910.1016/j.cma.2022.115049 ↗
40. Vu-Bac, N., Silani, M., Lahmer, T., Zhuang, X., Rabczuk, T.: A unified framework for stochastic predictions of mechanical properties of polymeric nanocomposites. Comput. Mater. Sci. 96, 520–535 (2015). https://doi.org/10.1016/j.commatsci.2014.04.06610.1016/j.commatsci.2014.04.066 ↗
41. Yudin, P.V., Tagantsev, A.K.: Fundamentals of flexoelectricity in solids. Nanotechnology 24, 432001 (2013). https://doi.org/10.1088/0957-4484/24/43/43200110.1088/0957-4484/24/43/432001 ↗
42. Zhai, Y., Li, S. and Zhang, X (2025) Vibration performance of composite doubly curved shells embedded with damping layer. Int. J. Struct. Stab. Dyn. 0, 2650265 https://doi.org/10.1142/s021945542650265210.1142/s0219455426502652 ↗
43. Zhang, X., Hu, K., Li, H.: Comparison of flexoelectric and piezoelectric ring energy harvester. Proc. Inst. Mech. Eng. C J. Mech. Eng. Sci. 233, 3795–3803 (2019). https://doi.org/10.1177/095440621880601810.1177/0954406218806018 ↗
44. Zubko, P., Catalan, G., Tagantsev, A.K.: Flexoelectric effect in solids. Annu. Rev. Mater. Res. 43, 387–421 (2013). https://doi.org/10.1146/annurev-matsci-071312-12163410.1146/annurev-matsci-071312-121634 ↗