[1] Shell theory. Springer, European Mathematical Society,2014. Encyclopedia of Mathematics. [accessed 23 February 2024] Available from: http://encyclopediaofmath.org/index.php?title=Shell_theory&oldid=33309.
[2] Naghdi, P., On the theory of thin elastic shells. Quarterly of applied Mathematics, 1957, 14(4): pp.369-380.
[3] Love, Augustus Edward Hough. "XVI. The small free vibrations and deformation of a thin elastic shell." Philosophical Transactions of the Royal Society of London. (A.) 179, 1888, pp.491-546.
[4] Payton, R., Dynamic membrane stresses in a circular elastic shell. 1961.
[5] Ruzzene, M. and A.M. Baz. Dynamic stability of periodic shells with moving loads. in Smart Structures and Materials 2001: Smart Structures and Integrated Systems. 2001. SPIE.
[6] Zhang, J.D., B. Zhen, and X. Li, The Critical Velocity for an Infinite Cylindrical Shell under a Moving Load. Applied Mechanics and Materials, 2014, 441: pp.461-464.
[7] Lee, S. and J. Seok, Dynamic analysis of a hollow cylinder subject to a dual traveling force imposed on its inner surface. Journal of Sound and Vibration, 2015, 340: pp.283-302.
[8] Arazm, M., H. Eipakchi, and M. Ghannad, Vibrational behavior investigation of axially functionally graded cylindrical shells under moving pressure. Acta Mechanica, 2019, 230: pp.3221-3234.
[9] Eipakchi, H., F.M. Nasrekani, and S. Ahmadi, An analytical approach for the vibration behavior of viscoelastic cylindrical shells under internal moving pressure. Acta Mechanica, 2020, 231: pp.3405-3418.
[10] Huo, H., et al., Exact benchmark solutions of random vibration responses for thin-walled orthotropic cylindrical shells. International Journal of Mechanical Sciences, 2021, 207: pp.106644.
[11] Saeedi, Soheil, Mohsen Kholdi, Abbas Loghman, Hossein Ashrafi, and Mohammad Arefi. "Thermo-elasto-plastic analysis of thick-walled cylinder made of functionally graded materials using successive approximation method." International Journal of Pressure Vessels and Piping”, 194, 2021, 104481.
[12] Gao, X.-L., Critical velocities of a two-layer composite tube under a moving internal pressure. Acta Mechanica, 2023, 234(5): pp.2021-2043.
[13] Chonan, S., Dynamic response of a cylindrical shell imperfectly bonded to a surrounding continuum of infinite extent. Journal of Sound and Vibration, 1981, 78(2): pp.257-267.
[14] Dwivedi, J., V. Singh, and P. Upadhyay, Nonaxisymmetric dynamic response of imperfectly bonded buried fluid-filled orthotropic cylindrical shells. 1996.
[15] Hasheminejad, S.M. and M. Komeili, Effect of imperfect bonding on axisymmetric elastodynamic response of a lined circular tunnel in poroelastic soil due to a moving ring load. International Journal of Solids and Structures, 2009, 46(2): pp.398-411.
[16] Yuan, Z., et al., Dynamic response of a tunnel buried in a saturated poroelastic soil layer to a moving point load. Soil Dynamics and Earthquake Engineering, 2015, 77: pp.348-359.
[17] Alzabeebee, S.I.A., Enhanced design approaches for rigid and flexible buried pipes using advanced numerical modelling. 2017, University of Birmingham.
[18] Akbarov, S., M. Mehdiyev, and M. Ozisik, Three-dimensional dynamics of the moving load acting on the interior of the hollow cylinder surrounded by the elastic medium. Structural Engineering and Mechanics, 2018, 67(2): pp.185-206.
[19] Akbarov, S.D. and M.A. Mehdiyev, 3D dynamics of the oscillating-moving load acting in the interior of the hollow cylinder surrounded with elastic medium. Structural Engineering and Mechanics, 2019, 71(6): pp.713-738.
[20] Tong, L., et al., Dynamic effect of a moving ring load on a cylindrical structure embedded in poroelastic space based on nonlocal Biot theory. Soil Dynamics and Earthquake Engineering, 2020, 128: p.105897.
[21] Liu, Y., Z. Qin, and F. Chu, Nonlinear dynamic responses of sandwich functionally graded porous cylindrical shells embedded in elastic media under 1: 1 internal resonance. Applied Mathematics and Mechanics, 2021, 42(6): pp.805-818.
[22] Alibeigloo, A., M. Talebitooti, Three-dimensional transient coupled thermoelasticity analysis of FGM cylindrical panel embedded in piezoelectric layers. Mechanics of Smart Structures, 2021.
[23] Girnis, S., et al. Action of Moving Load on a Two-Layer Shell in Elastic Medium. in International Scientific Conference on Agricultural Machinery Industry “Interagromash"”. 2022. Springer.
[24] Singh, V., P. Upadhyay, and B. Kishor, On the dynamic response of buried orthotropic cylindrical shells under moving load. International journal of mechanical sciences, 1988, 30(6): pp.397-406.
[25] Saviz, M., M. Shakeri, and M. Yas, Three-dimensional elasticity analysis of a laminated cylindrical shell with piezoelectric layer under dynamic loads. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2007, 221(12): pp.1507-1519.
[26] Zhang, Y., S. Xie, and X. Zhang, Vibration control of a simply supported cylindrical shell using a laminated piezoelectric actuator. Acta Mechanica, 2008, 196(1): pp.87-101.
[27] Sheng, G. and X. Wang, Response and control of functionally graded laminated piezoelectric shells under thermal shock and moving loadings. Composite Structures, 2010, 93(1): pp.132-141.
[28] Zhang, S., R. Schmidt, and X. Qin, Active vibration control of piezoelectric bonded smart structures using PID algorithm. Chinese journal of aeronautics, 2015, 28(1): pp.305-313.
[29] Arefi, M., R. Karroubi, and M. Irani-Rahaghi, Free vibration analysis of functionally graded laminated sandwich cylindrical shells integrated with piezoelectric layer. Applied Mathematics and Mechanics, 2016, 37: pp.821-834.
[30] Zhou, Y., J. Zhu, and D. Liu, Dynamic analysis of laminated piezoelectric cylindrical shells. Engineering Structures, 2020, 209: p. 109945.
[31] Liu, J., et al., Deformation of laminated and sandwich cylindrical shell with covered or embedded piezoelectric layers under compression and electrical loading. Composite Structures, 2020, 240: p. 112041.
[32] Lee, S.-L., Active vibration suppression of wind turbine blades integrated with piezoelectric sensors. Science and Engineering of Composite Materials, 2021, 28(1): pp.402-414.
[33] Li, C., P. Li, and X. Miao, Research on nonlinear vibration control of laminated cylindrical shells with discontinuous piezoelectric layer. Nonlinear Dynamics, 2021, 104(4), pp.3247-3267.
[34] Acharya, R., et al., Structural response of a low-fill box culvert under static and traffic loading. Journal of Performance of Constructed Facilities, 2016, 30(1): p. 04014184.
[35] Forrest, J. and H. Hunt, A three-dimensional tunnel model for calculation of train-induced ground vibration. Journal of sound and vibration, 2006, 294(4-5): pp.678-705.
[36] Rahimi, G., M. Arefi, and M. Khoshgoftar, Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads. Applied Mathematics and Mechanics, 2011, 32: pp.997-1008.
[37] Mohammadi, M., et al., Higher-order thermo-elastic analysis of FG-CNTRC cylindrical vessels surrounded by a Pasternak foundation. Nanomaterials, 2019, 9(1): p. 79.
[38] Visioli, Antonio. Practical PID control. Springer Science & Business Media, 2006.
[39] Sathe, M.P., et al., Speed Control of DC Motor using PID Controller-A Review, 2019.
[40] Dubey, V., H. Goud, and P.C. Sharma, Role of PID control techniques in process control system: a review. Data Engineering for Smart Systems: Proceedings of SSIC 2021, 2022: pp.659-670.
[41] Abdennour, A. and F.A. Alturki, A Comparative Study of PI/PID Classical and Intelligent Tuning Methods. Journal of Engineering and Computer Sciences, 2008, 1(1): pp.29-42.
[42] Hasheminejad, S.M. and A. Jamalpoor, Control of sound transmission into a hybrid double-wall sandwich cylindrical shell. Journal of Vibration and Control, 2022, 28(5-6): pp.689-706.
[43] Ke, L., Y. Wang, and J. Reddy, Thermo-electro-mechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions. Composite Structures, 2014, 116: pp.626-636.
[44] Lu, J.-F., et al., Response of a circular tunnel embedded in saturated soil to a series of equidistant moving loads. Acta Mechanica, 2017. 228: pp.3675-3693.
[45] Steele, C., Beams and shells with moving loads. International Journal of Solids and Structures, 1971, 7(9): pp.1171-1198.
[46] Lu, Jian-Fei, and Dong-Sheng Jeng. "Dynamic response of a circular tunnel embedded in a saturated poroelastic medium due to a moving load." 2006, pp.750-756.
[47] Hwang, W.-S., H.C. Park, and W. Hwang, Vibration control of a laminated plate with piezoelectric sensor/actuator: finite element formulation and modal analysis. Journal of Intelligent Material Systems and Structures, 1993, 4(3): pp.317-329.
[48] Kheibari, Forough, and Yaghoub Tadi Beni. "Size dependent electro-mechanical vibration of single-walled piezoelectric nanotubes using thin shell model." Materials & Design, 114, 2017, pp.572-583.
[49] Wang, Y.Q., Y.F. Liu, and J.W. Zu, Analytical treatment of nonlocal vibration of multilayer functionally graded piezoelectric nanoscale shells incorporating thermal and electrical effect. The European Physical Journal Plus, 134, 2019, pp.1-15.
