[1] A. Pandit and K. Biswal, "Evaluation of dynamic characteristics of liquid sloshing in sloped bottom tanks,"
International Journal of Dynamics and Control, vol. 8, pp. 162-177, 2020,
https://doi.org/10.1007/s40435-019-00527-8.
[2] M. Ghalandari, S. Bornassi, S. Shamshirband, A. Mosavi, and K. W. Chau, "Investigation of submerged structures’ flexibility on sloshing frequency using a boundary element method and finite element analysis,"
Engineering Applications of Computational Fluid Mechanics, vol. 13, no. 1, pp. 519-528, 2019,
https://doi.org/10.1080/19942060.2019.1619197.
[3] M. Chiba and H. Magata, "Influence of liquid sloshing on dynamics of flexible space structures,"
Journal of Sound and Vibration, vol. 401, pp. 1-22, 2017,
https://doi.org/10.1016/j.jsv.2017.04.029.
[4] J. Paik and Y. Shin, "Structural damage and strength criteria for ship stiffened panels under impact pressure actions arising from sloshing, slamming and green water loading,"
Ships and Offshore Structures, vol. 1, no. 3, pp. 249-256, 2006,
https://doi.org/10.1533/saos.2006.0109.
[5] H. N. Abramson, "The dynamic behavior of liquids in moving containers, with applications to space vehicle technology," NASA, Technical Report, 1967000655, 1966, [online]. Available:
https://ntrs.nasa.gov/citations/19670006555
[6] H. Akyildiz, "A numerical study of the effects of the vertical baffle on liquid sloshing in two-dimensional rectangular tank,"
Journal of Sound and Vibration, vol. 331, no 1, pp. 41-52, 2012,
https://doi.org/10.1016/j.jsv.2011.08.002.
[7] G. J. Kim, H. Rhee, W. H. Jeon, J. Jeong, and D.-S. Hwang, "Lateral sloshing analysis by cfd and experiment for a spherical tank,"
International Journal of Aeronautical and Space Sciences, vol. 21, pp. 816-825, 2020,
https://doi.org/10.1007/s42405-020-00295-2.
[8] F. Sabri and A. A. Lakis, "Hydroelastic vibration of partially liquid-filled circular cylindrical shells under combined internal pressure and axial compression,"
Aerospace Science and Technology, vol. 15, no. 4, pp. 237-248, 2011,
https://doi.org/10.1016/j.ast.2010.07.003.
[9] H. Bauer and W. Eidel, "Frictionless liquid sloshing in circular cylindrical container configurations,"
Aerospace Science and Technology, vol. 3, no. 5, pp. 301-311, 1999,
https://doi.org/10.1016/S1270-9638(00)86966-7.
[10] K. Pan and D. Cao, "Absolute nodal coordinate finite element approach to the two-dimensional liquid sloshing problems,"
Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, vol. 234, no. 2, pp. 322-346, 2020,
https://doi.org/10.1177/1464419320907785.
[11] S. Farmani, M. Ghaeini-Hessaroeyeh, and S. Hamzehei-Javaran, "Developing new numerical modeling for sloshing behavior in two-dimensional tanks based on nonlinear finite-element method,"
Journal of Engineering Mechanics, vol. 145, no. 12, 2019,
https://doi.org/10.1061/(ASCE)EM.1943-7889.0001686.
[12] B. Tang, J. Li, and T. Wang, "The least square particle finite element method for simulating large amplitude sloshing flows,"
Acta Mechanica Sinica, vol. 24, no. 3, pp. 317-323, 2008,
https://doi.org/10.1007/s10409-008-0144-3.
[13] B. Xing and J. Huang, "Control of pendulum-sloshing dynamics in suspended liquid containers,"
IEEE Transactions on Industrial Electronics, vol. 68, no. 6, pp. 5146-5154, 2020,
https://doi.org/10.1109/TIE.2020.2991933.
[14] Y. Sun, D. Zhou, and J. Wang, "An equivalent mechanical model for fluid sloshing in a rigid cylindrical tank equipped with a rigid annular baffle,"
Applied Mathematical Modelling, vol. 72, pp. 569-587, 2019,
https://doi.org/10.1016/j.apm.2019.03.024.
[15] M. Shahravi and M. Azimi, "Effects of baffles geometry on sloshing dynamics of a viscous liquid tank,"
Scientific Research and Essays, vol. 7, no. 7, pp. 4092-4099, 2013,
https://doi.org/10.5897/SRE12.647.
[16] M. Navabi and A. Davoodi, "Modeling and control of fuel sloshing and its effect on spacecraft attitude," Journal of Space Science and Technology, vol. 11, no. 4, pp. 11-22, 2018, (in Persian).
[17] M. Navabi and A. Davodi, "Modeling of fuel sloshing in a spacecraft and control it by active control method using nonlinear control," Modares Mechanical Engineering, vol. 19, no. 9, pp. 2121-2128, 2019, (in Persian).
[18] J. Unruh, D. Kana, F. Dodge, and T. Fey, "Digital data analysis techniques for extraction of slosh model parameters,"
Journal of Spacecraft and Rockets, vol. 23, no. 2, pp. 171-177, 1986,
https://doi.org/10.2514/3.25096.
[19] Á. Romero-Calvo, G. Cano Gómez, E. Castro-Hernández, and F. Maggi, "Free and forced oscillations of magnetic liquids under low-gravity conditions,"
Journal of Applied Mechanics, vol. 87, no. 2, 2020, Art. no. 021010,
https://doi.org/10.1115/1.4045620.
[20] M. Ebrahimian, M. Noorian, and M. Javadi, "Sloshing dynamics in 2d multi-baffled containers under low-gravity conditions,"
Microgravity Science and Technology, vol. 32, pp. 983-998, 2020,
https://doi.org/10.1007/s12217-020-09825-9.
[21] Y. Bao-Zeng, "Heteroclinic bifurcations in completely liquid-filled spacecraft with flexible appendage,"
Nonlinear Dynamics, vol. 51, pp. 317-327, 2008,
https://doi.org/10.1007/s11071-007-9213-6.
[22] Y. Baozeng and X. Jiafang, "Chaotic attitude maneuvers in spacecraft with a completely liquid-filled cavity,"
Journal of Sound and Vibration, vol. 302, no. 4-5, pp. 643-656, 2007,
https://doi.org/10.1016/j.jsv.2006.11.035.
[23] M. Chiba and H. Magata, "Coupled pitching dynamics of flexible space structures with on-board liquid sloshing,"
Acta Astronautica, vol. 181,
2020,
https://doi.org/10.1016/j.actaastro.2020.11.002.
[24] M. Deng, H. Huang, Z. Li, B. Yue, Y. Lin, and G. Liu, "Coupling dynamics of flexible spacecraft filled with liquid propellant,"
Journal of Aerospace Engineering, vol. 32, no. 5, 2019,
https://doi.org/10.1061/(ASCE)AS.1943-5525.0001070.
[25] W. Kong and Q. Tian, "Dynamics of fluid-filled space multibody systems considering the microgravity effects,"
Mechanism and Machine Theory, vol. 148, 2020,
https://doi.org/10.1016/j.mechmachtheory.2020.103809.
[26] F. Liu, B. Yue, Y. Tang, and M. Deng, "3DOF-rigid-pendulum analogy for nonlinear liquid slosh in spherical propellant tanks,"
Journal of Sound and Vibration, vol. 460, 2019, Art. no. 114907,
https://doi.org/10.1016/j.jsv.2019.114907.
[27] G. E Ransleben Jr and H. N. Abramson, "Discussion: "Production of rotation in a confined liquid through translational motion of the boundaries," (Berlot, RR, 1959, ASME)
Journal of Applied. Mechanics, vol. 27, no. 2, pp. 513–516, 1960,
https://doi.org/10.1115/1.4012103.
[28] E. W. Graham and A. M. Rodriquez, "The characteristics of fuel motion which affect airplane dynamics,"
Journal of Applied. Mechanics, vol. 19, no. 3, 1952,
https://doi.org/10.1115/1.4010515.
[29] D. Ewart, "Fuel oscillations in cylindrical tanks and the forces produced thereby," De Havilland Propellers Ltd, GW Dynamics Dept, Technical. Note, no.02050, 1956.
[30] G. Armstrong and K. Kachigan, "Propellant sloshing," Handbook of Astronautical Engineering, McGraw Hill , p. 14, 1961.
[31] G. Armstrong and K. Kachigan, "Propellant sloshing," Handbook of Astronautical Engineering, McGraw Hill, pp. 14-27, 1961.
[32] A. Beléndez
et al., "Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire,"
Journal of Sound and Vibration, vol. 302, no. 4-5, pp. 1018-1029, 2007,
https://doi.org/10.1016/j.jsv.2006.12.011.
[33] D. Younesian, H. Askari, Z. Saadatnia, and M. KalamiYazdi, "Frequency analysis of strongly nonlinear generalized duffing oscillators using he’s frequency–amplitude formulation and he’s energy balance method,"
Computers & Mathematics with Applications, vol. 59, no. 9, pp. 3222-3228, 2010,
https://doi.org/10.1016/j.camwa.2010.03.013.
[34] A. Allahverdizadeh, R. Oftadeh, M. Mahjoob, and M. Naei, "Homotopy perturbation solution and periodicity analysis of nonlinear vibration of thin rectangular functionally graded plates,"
Acta Mechanica Solida Sinica, vol. 27, no. 2, pp. 210-220, 2014,
https://doi.org/10.1016/S0894-9166(14)60031-8.
[35] P. Gonçalves, F. Silva, and Z. Del Prado, "Low-dimensional models for the nonlinear vibration analysis of cylindrical shells based on a perturbation procedure and proper orthogonal decomposition,"
Journal of Sound and Vibration, vol. 315, no. 3, pp. 641-663, 2008,
https://doi.org/10.1016/j.jsv.2008.01.063.
[36] M. Ghadiri and M. Safi, "Nonlinear vibration analysis of functionally graded nanobeam using homotopy perturbation method,"
Advances in Applied Mathematics and Mechanics, vol. 9, no. 1, pp. 144-156, 2017,
https://doi.org/10.4208/aamm.2015.m899.
[37] K. Manimegalai, S. Z. CF, P. Bera, P. Bera, S. Das, and T. Sil, "Study of strongly nonlinear oscillators using the aboodh transform and the homotopy perturbation method,"
The European Physical Journal Plus, vol. 134, 2019, Art. no. 4612,
https://doi.org/10.1140/epjp/i2019-12824-6.
[38] M. Shishesaz, M. Shariati, A. Yaghootian, and A. Alizadeh, "Nonlinear vibration analysis of nano-disks based on nonlocal elasticity theory using homotopy perturbation method,"
International Journal of Applied Mechanics, vol. 11, no. 02, 2019, Art. no. 1950011,
https://doi.org/10.1142/S175882511950011X.
[39] A. A. Yazdi, "Nonlinear aeroelastic stability analysis of three-phase nano-composite plates,"
Mechanics Based Design of Structures and Machines, vol. 47, no. 6. pp. 753-768, 2019,
https://doi.org/10.1080/15397734.2019.1610436.
[40] R. A. Ibrahim, Liquid Sloshing Dynamics: Theory and Applications: Cambridge University Press, 2005, ISBN: 978-0521838856.
[41] S. Abbasbandy, "Homotopy perturbation method for quadratic riccati differential equation and comparison with adomian’s decomposition method,"
Applied Mathematics and Computation, vol. 172, no. 1, pp. 485-490, 2006,
https://doi.org/10.1016/j.amc.2005.02.014.
[42] T. Öziş and C. Akçı, "Periodic solutions for certain non-smooth oscillators by iterated homotopy perturbation method combined with modified lindstedt-poincaré technique,"
Meccanica, vol. 46, pp. 341-347, 2011,
https://doi.org/10.1007/s11012-010-9312-1.
[43] C. Chun and R. Sakthivel, "Homotopy perturbation technique for solving two-point boundary value problems–comparison with other methods,"
Computer Physics Communications, vol. 181, no. 6, pp. 1021-1024, 2010,
https://doi.org/10.1016/j.cpc.2010.02.007.
[44] B. Batiha, "A new efficient method for solving quadratic riccati differential equation," International Journal of Applied Mathematics Research, vol. 4, no. 1, pp. 24-29, 2015,
[45] J. H. He, "A coupling method of a homotopy technique and a perturbation technique for non-linear problems,"
International Journal of Non-Linear Mechanics, vol. 35, no. 1, pp. 37-43, 2000,
https://doi.org/10.1016/S0020-7462(98)00085-7.
[46] J. H. He, "Some asymptotic methods for strongly nonlinear equations,"
International Journal of Modern Physics B, vol. 20, no. 10, pp. 1141-1199, 2006,
https://doi.org/10.1142/S0217979206033796.
[47] A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations: John Wiley & Sons, 2008.
[48] P. Pal and S. Bhattacharyya, "Sloshing in partially filled liquid containers—numerical and experimental study for 2-d problems,"
Journal of Sound and Vibration, vol. 329, no. 21, pp. 4466-4485, 2010,
https://doi.org/10.1016/j.jsv.2010.05.006
