caa a22 4500 445361441 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110701xx s 000 0 eng 10.1007/s11071-010-9871-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9871-7 Non-linear parametric modelling of a high-speed rail hydraulic yaw damper with series clearance and stiffness [Elektronische Daten] [W. Wang, Y. Huang, X. Yang, G. Xu] At high operational speeds, the train system becomes very sensitive to parameter variations of components. Therefore, it is imperative to incorporate more accurate component models in the vehicle dynamics studies. This study addresses a more subtle and comprehensive non-linear parametric model of a high-speed rail hydraulic yaw damper. A new concept of a hydraulic yaw damper model is suggested, in which the small mounting clearance, the series stiffness, and the viscous damping are built in. The series stiffness is the tandem result of the dynamic oil stiffness, the rubber attachment stiffness, and the mounting seat stiffness. A dynamic oil property model is established and coupled to the entire modelling process, in which the density, the dynamic viscosity, the volumetric elastic modulus, and the stiffness of the oil are all changeable in terms of the instantaneous working pressure, the oil temperature, and the entrapped air ratio of the oil. The dynamic flow loss and the valve system dynamics are also incorporated. Experiments validated that the established non-linear parametric model is accurate and robust in predicting the damping characteristics within an extremely wide speed range. The validated damper model was then successfully applied to a thorough parameter sensitivity analysis and damping nature prediction under practical, in-service conditions. The established damper model couples all the main influential factors that are not or are insufficiently considered in normal-speed problems; thus, it will be more accurate and appropriate for furthering high-speed problem studies. Springer Science+Business Media B.V., 2010 Non-linear parametric modelling nationallicence Hydraulic yaw damper nationallicence Series clearance and stiffness nationallicence Parameter sensitivity analysis nationallicence High-speed train nationallicence A e (m2) : equivalent action area on the valve seat nationallicence B (N s/m) : viscous damping coefficient of the piston-and-rod assembly nationallicence C (N s/m) : damping coefficient nationallicence C d : discharge coefficient nationallicence C e (N s/m) : effective damping coefficient nationallicence D (m) : piston diameter nationallicence E r : set-pressure deviation rate of the relief valve nationallicence F (N) : damping force at a typical stroke speed nationallicence F ( t ), F r( t ) (N) : nominal and initial instantaneous damping force nationallicence H , H p (m) : height of the inner tube and the piston nationallicence K (N/m) : spring stiffness of the relief valve nationallicence K e (N/m) : series stiffness of the damper nationallicence K leak (m3 Pa−1 s−1) : pressure leakage coefficient nationallicence K oil (N/m) : dynamic oil stiffness nationallicence K q (Pa−1 s−1) : flow coefficient of the relief valve nationallicence K rubber (N/m) : rubber attachment stiffness nationallicence K seat (N/m) : mounting seat stiffness nationallicence L (m) : piston seal width nationallicence L gap (m) : accumulated clearance at the ends of the damper nationallicence L t (m) : piston sweep distance nationallicence P , P 0 (Pa) : instantaneous and the reference working pressure nationallicence P b (Pa) : instantaneous back pressure nationallicence P b0 (Pa) : back pressure when piston is in the neutral position nationallicence P t (Pa) : set pressure of the relief valve nationallicence Q (m3/s) : instantaneous flow nationallicence Q leak (m3/s) : pressure leakage flow nationallicence Q loss (m3/s) : total flow loss nationallicence Q valve (m3/s) : flow forced through the complete valve system nationallicence T , T 0 (°C ) : instantaneous and the reference oil temperature nationallicence V gas,0 (m3) : enclosed air volume when piston is in the neutral position nationallicence V oil (m3) : instantaneous oil volume in the pressure chamber nationallicence X 0 (m) : initial length reduction of the relief valve spring nationallicence d (m) : piston rod diameter nationallicence d 1, d 3 (m) : constant orifice diameters nationallicence f (Hz) : excitation frequency nationallicence f c (N) : sliding friction force of the rod nationallicence h (m) : opening height of the valve rod nationallicence i : index number nationallicence l (m) : rod seal width nationallicence m (kg) : mass of the piston-and-rod assembly nationallicence m oil (kg) : mass of the oil in the pressure chamber nationallicence r 1, r 2 (m) : inner and outer radius of the inner tube port restriction nationallicence r n, r w (m) : inner and outer radius of the seal land on the valve seat nationallicence v (m/s) : typical stroke speed nationallicence x ( t ), x r( t ) (m) : nominal and actual instantaneous displacement nationallicence α P (Pa−1) : oil viscosity-pressure coefficient nationallicence α T (°C−1) : oil volumetric thermal expansion coefficient nationallicence β (Pa−1) : oil compressibility coefficient nationallicence β e (Pa) : instantaneous oil elastic modulus nationallicence β e0 (Pa) : pure oil elastic modulus at T 0 nationallicence δ (m) : seal or restriction clearance nationallicence ε : entrapped air ratio of the oil nationallicence λ : oil viscosity-temperature coefficient nationallicence μ (Pa s) : instantaneous oil dynamic viscosity nationallicence μ 0 (Pa s) : oil dynamic viscosity at P 0 and T 0 nationallicence ρ (kg/m3) : instantaneous oil density nationallicence ρ 0 (kg/m3) : oil density at P 0 and T 0 nationallicence Wang W. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut Huang Y. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut Yang X. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut Xu G. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 13-34 0924-090X 65:1-2<13 2011 65 11071 https://doi.org/10.1007/s11071-010-9871-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9871-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang W. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut NATIONALLICENCE 700 1- Huang Y. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut NATIONALLICENCE 700 1- Yang X. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut NATIONALLICENCE 700 1- Xu G. Vehicle Engineering Laboratory, School of Mechanical and Electrical Engineering, Nanchang University, 330031, Nanchang, Jiangxi Province, People's Republic of China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/1-2(2011-07-01), 13-34 0924-090X 65:1-2<13 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer