·142 工程科学学报，第38卷，第1期 以 40T间 30- Qnn-=l8L·min-t 30 -50 L.min 25 30 15 40 45 s 40 Q.=731.min ao(id) Q=100 I..min- 30 2520 20 10 5 240 242 244 246248 250 240 24224246248250 图11固定流量时，阀芯时间序列上的位移.()混沌碰撞振荡：(b)碰撞振荡：(c)无碰撞振荡：(d)稳态平衡 Fig.11 Displacement time histories at flow rate:(a)chaos impacting oscillation:(b)impacting oscillation:(c)oscillation without impact:(d) stable equilibrium bration behavior of pilot valve core on pilot-operated pressure relief lief valve.J Jilin Univ Eng Technol Ed,2014,44(1)91 valve with strong vibration.J Huazhong Unir Sci Technol Nat Sci (张天霄，刘昕晖，张农.液压溢流阀的振动分析.吉林大学 Ed,2015,43(4):58 学报（工学版），2014,44(1)：91) (杨忠炯，李洪宾，周立强，等.强冲击下先导式溢流阀先导 [10]Chen Q,Xu H,Quan L.CFD simulation of noise characteristic 阀芯自激振动仿真.华中科技大学学报（自然科学版），2015， of coaxial hydraulic relief valve with three stages.I Vib Meas 43(4):58) Diagn,2009,29(1):71 4]Moussou P,Gibert RJ,Brasseur G,et al.Instability of pressure (陈青，许惠，权龙.三级同心液压溢流阀噪声特性的CFD relief valves in water pipes.Pressure Vessel Technol,2010,132 分析.振动、测试与诊断，2009,29(1)：71) (4):041308 [11]Srikanth C,Bhasker C.Flow analysis in valve with moving grids 5]Zhang HL.Zhang G L,Qi Z Y.Dynamic characteristics of direct through CFD techniques.Adr Eng Softcare,2009,40(3):193 operated relief valve on fundamental vibration.J Cent South Uni [12]Song X C.Wang L,Park Y C.Transient analysis of a spring- Sci Technol,2014,45(12):4181 loaded pressure safety valve using computational fluid dynamics (张怀亮，章国亮，齐征宇.基础振动下直动式溢流阀的动态特 (CFD).J Pressure Vessel Technol,2010,132(5):054501 性.中南大学学报（自然科学版），2014,45(12)：4181) [3] Viel A.Strong coupling of modelica system-evel models with de- Liu YS,Mao X Y,Wu D F,et al.Design and simulation of a tailed CFD models for transient simulation of hydraulic compo- seawater hydraulie relief valve.Huazhong Unit Sci Technol Nat nents in their surrounding environment /Proceedings of the 8th Sci Ed,2010,38(9):125 International Modelica Conference.Dresden,2011:256 (刘银水，毛旭耀，吴德发，等.直动式海水液压溢流阀的设 04] Yonezawa K,Ogawa R,Ogi K,et al.Flow-induced vibration of 计与仿真.华中科技大学学报（自然科学版），2010,38(9)： a steam control valve.J Fluid Struct,2012,35:76 125) D5] Vandiver JK.Damping parameters for flow-induced vibration. ]Wu S,Mao X Y,Wu D F.Stability analysis of a direct-acting Fluid Struct,2012,35:105 seawater hydraulic relief valve.Huazhong Unir Sci Technol Nat 16] Clarke F H,Ledyaev Y S,Stemn R J,et al.Nonsmooth Analysis Sci Ed,2010,38(10):89 and Control Theory.Springer Verlag New York Ine.,1998 (吴珊，毛旭耀，吴德发直动式海水液压溢流阀的稳定性能 07] Licsk6G.Champneys A.His C.Nonlinear analysis of a single 分析.华中科技大学学报（自然科学版），2010,38(10)：89) stage pressure relief valve.Int J Appl Math,2009,39(4):12 [8]Dasgupta K,Karmakar R.Modelling and dynamics of single-stage 8] Zamani N,Ataei M,Niroomand M.Analysis and control of cha- pressure relief valve with directional damping.Simul Modell Pract otic behavior in boost converter by ramp compensation based on Theory,2002,10(12):51 Lyapunov exponents assignment:theoretical and experimental in- 9]Zhang T X,Liu X H,Zhang N.Vibration analysis ofhydraulic re- vestigation.Chaos Solitons Fractals,2015,81(1):20工程科学学报，第 38 卷，第 1 期 图 11 固定流量时，阀芯时间序列上的位移． ( a) 混沌碰撞振荡; ( b) 碰撞振荡; ( c) 无碰撞振荡; ( d) 稳态平衡 Fig． 11 Displacement time histories at flow rate: ( a) chaos impacting oscillation; ( b) impacting oscillation; ( c) oscillation without impact; ( d) stable equilibrium bration behavior of pilot valve core on pilot-operated pressure relief valve with strong vibration． J Huazhong Univ Sci Technol Nat Sci Ed，2015，43( 4) : 58 ( 杨忠炯，李洪宾，周立强，等． 强冲击下先导式溢流阀先导 阀芯自激振动仿真． 华中科技大学学报( 自然科学版) ，2015， 43( 4) : 58) ［4］ Moussou P，Gibert Ｒ J，Brasseur G，et al． Instability of pressure relief valves in water pipes． J Pressure Vessel Technol，2010，132 ( 4) : 041308 ［5］ Zhang H L，Zhang G L，Qi Z Y． Dynamic characteristics of direct operated relief valve on fundamental vibration． J Cent South Univ Sci Technol，2014，45( 12) : 4181 ( 张怀亮，章国亮，齐征宇． 基础振动下直动式溢流阀的动态特 性． 中南大学学报( 自然科学版) ，2014，45( 12) : 4181) ［6］ Liu Y S，Mao X Y，Wu D F，et al． Design and simulation of a seawater hydraulic relief valve． J Huazhong Univ Sci Technol Nat Sci Ed，2010，38( 9) : 125 ( 刘银水，毛旭耀，吴德发，等． 直动式海水液压溢流阀的设 计与仿真． 华中科技大学学报( 自然科学版) ，2010，38( 9) : 125) ［7］ Wu S，Mao X Y，Wu D F． Stability analysis of a direct-acting seawater hydraulic relief valve． J Huazhong Univ Sci Technol Nat Sci Ed，2010，38( 10) : 89 ( 吴珊，毛旭耀，吴德发． 直动式海水液压溢流阀的稳定性能 分析． 华中科技大学学报( 自然科学版) ，2010，38( 10) : 89) ［8］ Dasgupta K，Karmakar Ｒ． Modelling and dynamics of single-stage pressure relief valve with directional damping． Simul Modell Pract Theory，2002，10( 1-2) : 51 ［9］ Zhang T X，Liu X H，Zhang N． Vibration analysis ofhydraulic re￾lief valve． J Jilin Univ Eng Technol Ed，2014，44( 1) : 91 ( 张天霄，刘昕晖，张农． 液压溢流阀的振动分析． 吉林大学 学报( 工学版) ，2014，44( 1) : 91) ［10］ Chen Q，Xu H，Quan L． CFD simulation of noise characteristic of coaxial hydraulic relief valve with three stages． J Vib Meas Diagn，2009，29( 1) : 71 ( 陈青，许惠，权龙． 三级同心液压溢流阀噪声特性的 CFD 分析． 振动、测试与诊断，2009，29( 1) : 71) ［11］ Srikanth C，Bhasker C． Flow analysis in valve with moving grids through CFD techniques． Adv Eng Software，2009，40( 3) : 193 ［12］ Song X G，Wang L，Park Y C． Transient analysis of a spring￾loaded pressure safety valve using computational fluid dynamics ( CFD) ． J Pressure Vessel Technol，2010，132( 5) : 054501 ［13］ Viel A． Strong coupling of modelica system-level models with de￾tailed CFD models for transient simulation of hydraulic compo￾nents in their surrounding environment / / Proceedings of the 8th International Modelica Conference． Dresden，2011: 256 ［14］ Yonezawa K，Ogawa Ｒ，Ogi K，et al． Flow-induced vibration of a steam control valve． J Fluid Struct，2012，35: 76 ［15］ Vandiver J K． Damping parameters for flow-induced vibration． J Fluid Struct，2012，35: 105 ［16］ Clarke F H，Ledyaev Y S，Stern Ｒ J，et al． Nonsmooth Analysis and Control Theory． Springer-Verlag New York Inc． ，1998 ［17］ Licskó G，Champneys A，Hs C． Nonlinear analysis of a single stage pressure relief valve． Int J Appl Math，2009，39( 4) : 12 ［18］ Zamani N，Ataei M，Niroomand M． Analysis and control of cha￾otic behavior in boost converter by ramp compensation based on Lyapunov exponents assignment: theoretical and experimental in￾vestigation． Chaos Solitons Fractals，2015，81( 1) : 20 · 241 ·