Applied Mathematics and Mechanics >
Active traveling wave vibration control of elastic supported conical shells with smart micro fiber composites based on the differential quadrature method
Received date: 2024-09-13
Revised date: 2024-12-08
Online published: 2025-02-02
Supported by
the National Natural Science Foundation of China (Nos. 12272056 and 11832002)
Copyright
This paper investigates the active traveling wave vibration control of an elastic supported rotating porous aluminium conical shell (CS) under impact loading. Piezoelectric smart materials in the form of micro fiber composites (MFCs) are used as actuators and sensors. To this end, a metal pore truncated CS with MFCs attached to its surface is considered. Adding artificial virtual springs at two edges of the truncated CS achieves various elastic supported boundaries by changing the spring stiffness. Based on the first-order shear deformation theory (FSDT), minimum energy principle, and artificial virtual spring technology, the theoretical formulations considering the electromechanical coupling are derived. The comparison of the natural frequency of the present results with the natural frequencies reported in previous literature evaluates the accuracy of the present approach. To study the vibration control, the integral quadrature method in conjunction with the differential quadrature approximation in the length direction is used to discretize the partial differential dynamical system to form a set of ordinary differential equations. With the aid of the velocity negative feedback method, both the time history and the input control voltage on the actuator are demonstrated to present the effects of velocity feedback gain, pore distribution type, semi-vertex angle, impact loading, and rotational angular velocity on the traveling wave vibration control.
Yuxin HAO, Lei SUN, Wei ZHANG, Han LI . Active traveling wave vibration control of elastic supported conical shells with smart micro fiber composites based on the differential quadrature method[J]. Applied Mathematics and Mechanics, 2025 , 46(2) : 305 -322 . DOI: 10.1007/s10483-025-3216-7
| [1] | PARVEZ, M. T. and KHAN, A. H. Influence of geometric imperfections on the nonlinear forced vibration characteristics and stability of laminated angle-ply composite conical shells. Composite Structures, 291, 115555 (2022) |
| [2] | AMABILI, M. and BALASUBRAMANIAN, P. Nonlinear forced vibrations of laminated composite conical shells by using a refined shear deformation theory. Composite Structures, 249, 112522 (2020) |
| [3] | ABOLHASSANPOUR, H., SHAHGHOLI, M., GHASEMI, F. A., and MOHAMADI, A. Nonlinear vibration analysis of an axially moving thin-walled conical shell. International Journal of Non-Linear Mechanics, 134, 103747 (2021) |
| [4] | ZHUO, X., XU, P. Y., LI, H., CHU, C., SUN, P. Y., GU, D. W., and WEN, B. C. The analysis of nonlinear vibration characteristics of fiber-reinforced composite thin wall truncated conical shell: theoretical and experimental investigation. European Journal of Mechanics-A/Solids, 105, 105268 (2024) |
| [5] | YANG, S. W., HAO, Y. X., YANG, L., and LIU, L. T. Nonlinear vibrations and chaotic phenomena of functionally graded material truncated conical shell subject to aerodynamic andin-plane loads under 1:2 internal resonance relation. Archive of Applied Mechanics, 91, 883–917 (2021) |
| [6] | KIANI, Y. Torsional vibration of functionally graded carbon nanotube reinforced conical shells. Science and Engineering of Composite Materials, 25(1), 41–52 (2018) |
| [7] | KIANI, Y. Analysis of FG-CNT reinforced composite conical panel subjected to moving load using Ritz method. Thin-Walled Structures, 119, 47–57 (2017) |
| [8] | ZHANG, Y. and LIU, W. Nonlinear vibration response of a functionally graded carbon nanotube-reinforced composite conical shell using a stress function method. Acta Mechanica, 233(8), 3157–3174 (2022) |
| [9] | HAO, Y. X., WANG, M. X., ZHANG, W., YANG, S. W., LIU, L. T., and QIAN, Y. H. Bending-torsion coupling bursting oscillation of a sandwich conical panel under parametric excitation. Journal of Sound and Vibration, 495, 115904 (2021) |
| [10] | DUC, N. D., CONG, P. H., ANH, V. M., QUANG, V. D., TRAN, P., TUAN, N. D., and THINH, N. H. Mechanical and thermal stability of eccentrically stiffened functionally graded conical shell panels resting on elastic foundations and in thermal environment. Composite Structures, 132, 597–609 (2015) |
| [11] | ZAREI, M., RAHIMI, G. H., and HEMMATNEZHAD, M. Free vibrational characteristics of grid-stiffened truncated composite conical shells. Aerospace Science and Technology, 99, 105717 (2020) |
| [12] | DINH, D. N. and NGUYEN, P. D. The dynamic response and vibration of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) truncated conical shells resting on elastic foundations. Materials, 10(10), 1194 (2017) |
| [13] | DAS, A., ROUT, M., and KARMAKAR, A. Time dependent response of impact induced functionally graded conical shell considering porosity. Sādhanā: Academy Proceedings in Engineering Sciences, 45(1), 219 (2020) |
| [14] | JAFARI, M. H. A., ZARASTVAND, M., and ZHOU, J. H. Doubly curved truss core composite shell system for broadband diffuse acoustic insulation. Journal of Vibration and Control, 30(17-18), 4035–4051 (2024) |
| [15] | TALEBITOOTI, R., ZARASTVAND, M. R., and GHEIBI, M. R. Acoustic transmission through laminated composite cylindrical shell employing third order shear deformation theory in the presence of subsonic flow. Composite Structures, 157, 95–110 (2016) |
| [16] | NIASAR, M. J., RAHAGHI, M. I., and JAFARI, A. A. Optimal location of FG actuator/sensor patches on an FG rotating conical shell for active control of vibration. Acta Mechanica, 233(12), 5335–5357 (2022) |
| [17] | JAMSHIDI, R. and JAFARI, A. Conical shell vibration optimal control with distributed piezoelectric sensor and actuator layers. ISA Transactions, 117, 96–117 (2021) |
| [18] | HAO, Y. X., LI, H., ZHANG, W., GE, X. S., YANG, S. W., and CAO, Y. T. Active vibration control of smart porous conical shell with elastic boundary under impact loadings using GDQM and IQM. Thin-Walled Structures, 175, 109232 (2022) |
| [19] | KUMAR, A. and RAY, M. C. Control of smart rotating laminated composite truncated conical shell using ACLD treatment. International Journal of Mechanical Sciences, 89, 123–141 (2014) |
| [20] | WANG, W. Y. Modeling and optimal vibration control of conical shell with piezoelectric actuators. High Technology Letters, 14(4), 418–422 (2008) |
| [21] | JAMSHIDI, R. and JAFARI, A. A. Nonlinear vibration of conical shell with a piezoelectric sensor patch and a piezoelectric actuator patch. Journal of Vibration and Control, 28(11-12), 1502–1519 (2022) |
| [22] | ZOU, H. S., WANG, D. W., and CHAI, W. K. Control of conical shells laminated with full and diagonal actuators. International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, 417-425 (2001) |
| [23] | GOLZARI, M. and JAFARI, A. A. Effect of poroelastic material on vibroacoustic behavior of truncated conical shells. Aerospace Science and Technology, 118, 106982 (2021) |
| [24] | LONG, S. B., HUANG, W. C., WANG, J. H., LIU, J. R., GU, Y. X., and WANG, Z. A fixed-time consensus control with prescribed performance for multi-agent systems under full-state constraints. IEEE Transactions on Automation Science and Engineering (2024) https://doi.org/10.1109/TASE.2024.3445135 |
| [25] | ZHANG, S., LIU, L., ZHANG, X., ZHOU, Y., and YANG, Q. Active vibration control for ship pipeline system based on PI-LQR state feedback. Ocean Engineering, 310, 118559 (2024) |
| [26] | WANG, J., WU, Y., CHEN, C. P., LIU, Z., and WU, W. Adaptive PI event-triggered control for MIMO nonlinear systems with input delay. Information Sciences, 677, 120817 (2024) |
| [27] | TAN, J., ZHANG, K., LI, B., and WU, A. G. Event-triggered sliding mode control for spacecraft reorientation with multiple attitude constraints. IEEE Transactions on Aerospace and Electronic Systems, 59(5), 6031–6043 (2023) |
| [28] | GUAN, T., LI, B., SONG, Y., and DUAN, G. R. Fixed-time spacecraft attitude control with unwinding-free performance. IEEE Transactions on Automatic Control (2024) https://doi.org/10.1109/TAC.2024.3471333 |
| [29] | LAN, Y. H. and ZHAO, J. Y. Improving track performance by combining Padé-approximation-based preview repetitive control and equivalent-input-disturbance. Journal of Electrical Engineering and Technology, 19, 3781–3794 (2024) |
| [30] | XU, X. and LI, B. PDE-based observation and predictor-based control for linear systems with distributed infinite input and output delays. Automatica, 170, 111845 (2024) |
| [31] | ZHAO, J., XIE, F., WANG, A., SHUAI, C., TANG, J., and WANG, Q. A unified solution for the vibration analysis of functionally graded porous (FGP) shallow shells with general boundary conditions. Composites Part B: Engineering, 156, 406–424 (2019) |
| [32] | LI, H., HAO, Y. X., ZHANG, W., LIU, L. T., YANG, S. W., and WANG, D. M. Vibration analysis of porous metal foam truncated conical shells with general boundary conditions using GDQ. Composite Structures, 269, 114036 (2021) |
| [33] | LI, H., ZHANG, W., ZHANG, Y. F., and JIANG, Y. Nonlinear vibrations of graphene-reinforced porous rotating conical shell with arbitrary boundary conditions using traveling wave vibration analysis. Nonlinear Dynamics, 112(6), 4363–4391 (2024) |
| [34] | SABOORI, R. and GHADIRI, M. Nonlinear forced vibration analysis of PFG-GPLRC conical shells under parametric excitation considering internal and external resonances. Thin-Walled Structures, 196, 111474 (2024) |
| [35] | HAO, Y. X., LI, H., ZHANG, W., GU, X. J., and YANG, S. W. Nonlinear vibration of porous truncated conical shell under unified boundary condition and mechanical load. Thin-Walled Structures, 195, 111355 (2024) |
| [36] | DING, H. X. and SHE, G. L. Nonlinear primary resonance behavior of graphene platelet-reinforced metal foams conical shells under axial motion. Nonlinear Dynamics, 111(15), 13723–13752 (2023) |
| [37] | ZHU, C., FANG, X., LIU, J., and NIE, G. Smart control of large amplitude vibration of porous piezoelectric conical sandwich panels resting on nonlinear elastic foundation. Composite Structures, 246, 112384 (2020) |
| [38] | LI, H., HAO, Y. X., ZHANG, W., LIU, L. T., YANG, S. W., and CAO, Y. T. Natural vibration of an elastically supported porous truncated joined conical-conical shells using artificial spring technology and generalized differential quadrature method. Aerospace Science and Technology, 121, 107385 (2022) |
| [39] | SUN, L., HAO, Y. X., ZHANG, W., and LI, H. Traveling wave vibration and critical rotating speed of rotating porous metal conical shell with elastic boundary conditions. Aerospace Science and Technology, 148, 109091 (2024) |
| [40] | JAMSHIDI, R. and JAFARI, A. A. Conical shell vibration control with distributed piezoelectric sensor and actuator layer. Composite Structures, 256, 113107 (2021) |
| [41] | IRIE, T. Natural frequencies of truncated conical shells. Journal of Sound and Vibration, 92(3), 447 (1984) |
| [42] | SUN, S., CAO, D., and HAN, Q. Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh-Ritz method. International Journal of Mechanical Sciences, 68, 180–189 (2013) |
| [43] | HAO, Y. X., CAO, J., and ZHANG, W. Active vibration control and optimal position of MFC actuator for the bistable laminates with four points simply support. Archive of Applied Mechanics, 94, 3825–3847 (2024) |
/
| 〈 |
|
〉 |
Email Alert
RSS