During the flight period of air-to-air missiles, the temperature rise of the solid propellant caused by high-frequency vibration greatly impairs the performance of the solid rocket motor. To investigate the energy dissipation of the solid propellant and its influencing factors, multi-frequency fatigue tests of a composite propellant at different strain amplitudes were carried out. The surface temperature of the solid propellant specimen under cyclic loading was simultaneously monitored by non-contact infrared camera device. The effects of frequency and strain amplitude on the energy dissipation of the composite propellant were then discussed. The results show that, due to its viscosity, the composite propellant generates a lot of heat under external excitation, and its density of energy dissipation increases with the increase of loading amplitude and frequency. The surface temperature of the specimen due to energy dissipation increases at the first cycles and then stabilizes. Based on the equations of energy dissipation and temperature field, a model for calculating the temperature rise during fatigue of the composite propellant is established, and the hysteretic temperature rise of the composite propellant under different loading conditions is well predicted via finite element simulation.
[1] 张艳辉, 史明丽. 空空导弹工作温度分析[J]. 装备环境工程, 2015, 12(2): 99-103. ZHANG Y H, SHI M L. Analysis on operating temperature for air-to-air missiles[J]. Equipment Environmental Engineering, 2015, 12(2): 99-103 (in Chinese).
[2] SUN C, XU J, CHEN X, et al. Strain rate and temperature dependence of the compressive behavior of a composite modified double-base propellant[J]. Mechanics of Materials, 2015, 89: 35-46.
[3] RASMUSSEN B, FREDERICK R A. Nonlinear heterogeneous model of composite solid-propellant combustion[J]. Journal of Propulsion & Power, 2015, 18(5): 1086-1092.
[4] TONG X, CHEN X, XU J, et al. Excitation of thermal dissipation of solid propellants during the fatigue process[J]. Materials & Design, 2017, 128: 47-55.
[5] XU J, CHEN X, WANG H L, et al. Thermo-damage-viscoelastic constitutive model of HTPB composite propellant[J]. International Journal of Solids and Structures, 2014, 51(18): 3209-3217.
[6] JIA D, ZHENG J, CHEN X, et al. Modeling the temperature-dependent mode I fracture behavior of adhesively bonded joints[J]. Journal of Adhesion, 2016, 93(6): 481-503.
[7] 邢耀国, 曲凯, 许俊松, 等. 舰船摇摆条件下固体火箭发动机舰载寿命预估[J]. 推进技术, 2011, 32(1): 32-35. XING Y G, QU K, XU J S, et al. Life prediction of shipborne solid rocket motor under the ship swing motion[J]. Journal of Propulsion Technology, 2011, 32(1): 32-35 (in Chinese).
[8] 高艳宾, 许进升, 陈雄, 等. 应变控制下NEPE推进剂非线性疲劳损伤[J]. 航空动力学报, 2015, 30(6): 1486-1491. GAO Y B, XU J S, CHEN X, et al. Nonlinear fatigue damage of nitrate ester plasticized polyether propellant for strain-control[J]. Journal of Aerospace Power, 2015, 30(6): 1486-1491 (in Chinese).
[9] 梁蔚, 童心, 许进升, 等. 循环载荷下HTPB推进剂温度演化及疲劳性能预测[J]. 含能材料, 2018, 26(4): 301-310. LIANG W, TONG X, XU J S, et al. Temperature evo-lution and fatigue properties prediction of HTPB propellant under cyclic loading[J]. Chinese Journal of Energetic Materials, 2018, 26(4): 301-310 (in Chinese).
[10] 王为清, 杨立, 范春利, 等. 金属材料低周疲劳生热的有限元数值模拟[J]. 机械工程学报, 2013, 49(4): 64-69. WANG W Q, YANG L, FAN C L. Finite element analysis of heat production of metals during low-cycle fatigue process[J]. Journal of Mechanical Engineering, 2013, 49(4): 64-69 (in Chinese).
[11] ALLEN D H. Thermomechanical coupling in inelastic solids[J]. Applied Mechanics Reviews, 1991, 44(8): 361-373.
[12] RITTEL D, RABIN Y. An investigation of the heat generated during cyclic loading of two glassy polymers. Part Ⅱ: Thermal analysis[J]. Mechanics of Materials, 2000, 32(3): 149-159.
[13] GUO Q, ZARI F, GUO X. A thermo-viscoelastic-damage constitutive model for cyclically loaded rubbers. Part I: Model formulation and numerical examples[J]. International Journal of Plasticity, 2018, 101: 106-124.
[14] BENAARBIA A, CHRYSOCHOOS A, ROBERT G. Kinetics of stored and dissipated energies associated with cyclic loadings of dry polyamide 6.6 specimens[J]. Polymer Testing, 2014, 34: 155-167.
[15] BOTELLA R, PÉREZ-JIMÉNEZ F E, RIAHI E, et al. Self-heating and other reversible phenomena in cyclic testing of bituminous materials[J]. Construction and Building Materials, 2017, 156: 809-818.
[16] LAHUERTA F, NIJSSEN R P L, VAN DER MEER F P, et al. Experimental-computational study towards heat generation in thick laminates under fatigue loading[J]. International Journal of Fatigue, 2015, 80: 121-127.
[17] SURESH S. Fatigue of materials[M]. Cambridge: Cambridge University Press, 1998: 50-52.
[18] 童心, 王永平, 许进升, 等. HTPB推进剂的低温疲劳特性[J]. 航空动力学报, 2017, 32(5): 1234-1240. TONG X, WANG Y P, XU J S, et al. Fatigue properties of HTPB propellant at low temperature[J]. Journal of Aerospace Power, 2017, 32(5): 1234-1240 (in Chinese).
[19] 何曼君, 陈维孝, 董西侠. 高分子物理[M]. 3版. 上海: 复旦大学出版社, 2014: 1-10. HE M J, CHEN W X, DONG X X. Polymer physics[M]. 3rd ed. Shanghai: Fudan University Press, 2014: 1-10 (in Chinese).
[20] ZENER C. Elasticity and anelasticity of metals[M]. Chicago, IL: University of Chicago Press, 1948: 22-30.
[21] RITTEL D. An investigation of the heat generated during cyclic loading of two glassy polymers. Part I: Experimental[J]. Mechanics of Materials, 2000, 32(3): 131-147.
[22] ZHANG Y, YOU Y, MOUMNI Z, et al. Experimental and theoretical investigation of the frequency effect on low cycle fatigue of shape memory alloys[J]. International Journal of Plasticity, 2017, 90: 1-30.
[23] QIUSHI L I, LYU Y, PAN T, et al. Development of a coupled supersonic inlet-fan Navier-Stokes simulation method[J]. Chinese Journal of Aeronautics, 2018, 31(2): 237-246.