Froude W (1863) Remarks on Mr. Scott Russell’s paper on rolling. Trans Inst Naval Res 4:232-275
Haslum HA, Faltinsen OM(1999) Alternative shape of spar plat forms for use in hostile areas. Offshore Technology Conference, Houston.https://doi.org/10.4043/10953-MS
Hong YP, Lee DY, Choi YH, Hong SK, Kim SE, (2005) An experimental study on the extreme motion responses of a spar platform in the heave resonant waves.In Proceedings of the Fifteenth International Offshore and Polar Engineering Conference.Seoul,Korea 225-232.https://doi.org/10.3969/j.issn.1007-7294.2016.h1.008
Koo BJ, Kim MH, Randall RE (2004) Mathieu instability of a spar platform with mooring and risers. Ocean Eng 31(17):2175-2208.https://doi.org/10.1016/j.oceaneng.2004.04.005
Li W, Tang Y, Liu L, Liu S, Cai R (2017a) Heave-roll-pitch coupled nonlinear internal resonance response of a spar platform considering wave and vortex exciting loads.J Ocean Univ China 16(2):209-222.https://doi.org/10.1007/s11802-017-3151-9
Li W,Tang Y,Liu L,Li Y,Wang B(2017b)Internal resonances for heave, roll and pitch modes of a spar platform considering wave and vortex-induced loads in the main roll resonance. China Ocean Eng 31(4):408-417. https://doi.org/10.1007/s13344-017-0047-9
Liu L, Incecik A, Zhang Y, Tang Y (2014a) Analysis of heave motions of a truss spar platform with semi-closed moon pool. Ocean Eng 92:162-174. https://doi.org/10.1016/j.oceaneng.2014.09.048
Liu L, Zhou B, Tang Y (2014b) Study on the nonlinear dynamical behavior of deepsea Spar platform by numerical simulation and model experiment. J Vib Control 20(10):1528-1537. https://doi.org/10.1177/1077546307073676
Mook DT, Marshall LR, Nayfeh AH (1974) Subharmonic and superharmonic resonances in the pitch and roll modes of ship motions. J Hydronaut 8(1):32-40. https://doi.org/10.2514/3.62973
Nayfeh AH (2011) On the undesirable roll characteristics of ships in regular seas. J Ship Res 32(2):92-100
Nayfeh AH, Mook DT, Marshall LR (1973) Nonlinear couple of pitch and roll modes in ship motions. J Hydronaut 7(4):145-152. https://doi.org/10.2514/3.62949
Neves MA, Sphaier SH, Mattoso BM, Rodríguez CA, Santos AL,Vileti VL, Torres FG, 2008. On the occurrence of Mathieu instabilities of vertical cylinders. The 27th International Conference on Offshore Mechanics and Arctic Engineering, Estoril, 619-627. https://doi.org/10.1115/OMAE2008-57567
Rho JB, Choi HS, Shin HS, Park IK (2003) An experimental study for mooring effects on the stability of spar platform. In Proceedings of the 13th International Offshore and Polar Engineering Conference, Honolulu, 285-288
Rho JB, Choi HS, Shin HS, Park IK (2005) A study on Mathieu-type instability of conventional spar platform in regular waves. Int J Offshore Polar Eng 15(2):104-108
Sayed M,Hamed YS (2011) Stability and response of nonlinear coupled pitch-roll ship model under parametric and harmonic excitations.Nonlinear Dyn 64(3):207-220. https://doi.org/10.1007/s11071-010-9841-0
Shen W, Tang Y (2011) Stochastic analysis of nonlinear coupled heavepitch motion for the truss spar platform. J Mar Sci Appl 10(4):471-477. https://doi.org/10.1007/s11804-011-1093-y
Yang HZ,Xu PJ (2015) Effect of hull geometry on parametric resonances of spar in irregular waves. Ocean Eng 99:14-22. https://doi.org/10.1016/j.oceaneng.2015.03.006
Zhao JR (2010) Study on nonlinear coupling dynamic response of a classic spar platform. Ph.D. thesis, School of Civil Engineering, Tianjin University, Tianjin (in Chinese)
Zhao JR, Tang LZ, Tang YG, Wang WJ (2009) Internal resonant responses of heave-pitch coupled motions of classic spar platform. J Tianjin Univ 42(3):201-207. (in Chinese). https://doi.org/10.3969/j.issn.0493-2137.2009.03.003
Zhao JR, Tang YG, Shen WJ (2010) A study on the combination resonance response of a classic spar platform. J Vib Control 16(14):2083-2107. https://doi.org/10.1177/1077546309349393