A Load Sequence Design Method for Hydraulic Piston Pump Based on Time-Related Markov Matrix

Accelerated life test (ALT) is commonly used to assess lifetime of mission critical and expensive products. Accurate ALT requires realistic load sequence representative of the actual and/or expected work conditions. A novel method, using the Markov information matrix, is proposed in this paper to produce the load sequence to be applied in the ALT. The proposed method provides several advantages, including improved efficiency as well as capturing dynamic characteristics of the loading conditions, such as transition frequency and cumulative time effect of the load. This paper presents the Markov method for analyzing the load sequence, in which the Markov information matrix is modified by taking into account the cumulative effect of each load level. The model is then applied to the ALT of hydraulic piston pumps, which are widely used in aircraft, in order to perform analysis of the cumulative damage. Considering the actual aircraft operation, hidden Markov model is used to generate the equivalent accelerated load sequence of a pump. The load sequence can be easily applied on a test bench for the verification and approval of pumps. Finally, an accelerated sequence design method is proposed to guide the ALT. The method ensures the consistency of the transfer frequency and the cumulative damage caused by the load, which provides an equivalent sequence for the ALT.

[1]  John A. Williams,et al.  Abrasive wear in lubricated contacts , 1992 .

[2]  Rl Hewitt,et al.  Spectrum Editing for a Full-Scale Fatigue Test of a Fighter Aircraft Wing with Buffet Loading , 2005 .

[3]  Xingjian Wang,et al.  Fault diagnosis of an intelligent hydraulic pump based on a nonlinear unknown input observer , 2017 .

[4]  Cristin Olimpiu Morariu,et al.  Life time prediction using acceLerated test data of the specimens from mechanicaL eLement prognozowanie czasu pracy eLementu mechanicznego z wykorzystaniem danych z badań przyspieszonych , 2012 .

[5]  G. Grimmett,et al.  Probability and random processes , 2002 .

[6]  Roberto Tovo,et al.  On fatigue cycle distribution in non-stationary switching loadings with Markov chain structure , 2010 .

[7]  Nik Abdullah Nik Mohamed,et al.  Discretized Markov chain in damage assessment using Rainflow cycle with effects of mean stress on an automobile crankshaft , 2016 .

[8]  Alberto Leon-Garcia,et al.  Probability and Random Processes For EE's (3rd Edition) , 2007 .

[9]  Stefano Beretta,et al.  Load spectra analysis and reconstruction for hydraulic pump components , 2008 .

[10]  Krishna Lok Singh,et al.  Techniques to generate and optimize the load spectra for an aircraft , 2010 .

[11]  Elsayed A. Elsayed,et al.  Reliability Models for Stress Sequence Loading , 2014 .

[12]  Li Qiang,et al.  New approach for generating flight load spectrum of civil aircraft , 2013 .

[13]  Tao Jiang,et al.  Parameter inference for non-repairable multi-state system reliability models by multi-level observation sequences , 2017, Reliab. Eng. Syst. Saf..

[14]  Kojj Kato,et al.  Abrasive wear of metals , 1997 .

[15]  Tao Jiang,et al.  On sequence planning for selective maintenance of multi-state systems under stochastic maintenance durations , 2018, Eur. J. Oper. Res..

[16]  J. Watton,et al.  A complete analysis of axial piston pump leakage and output flow ripples , 2012 .

[17]  B. Lincoln.  Elastic Deformation and the Laws of Friction , 1953, Nature.

[18]  Dong Soo Jung,et al.  Development of Accelerated Life Test Method of Hydraulic Pump , 2006 .

[19]  Hyunsu Cho,et al.  A Parameter Sensitivity Analysis for the Dynamic Model of a Variable Displacement Axial Piston Pump , 1987 .

[20]  J. Williams,et al.  Wear debris and associated wear phenomena—fundamental research and practice , 2000 .

[21]  Jian Shi,et al.  Accelerated Life Testing under Variable Synthetic Stresses for Hydraulic Pump , 2006 .

[22]  J.J. Palazzolo,et al.  Leakage Fault Detection Method for Axial-Piston Variable Displacement Pumps , 2008, 2008 IEEE Aerospace Conference.

[23]  ボッシュ ラルフ.  Axial piston pump , 2014 .

[24]  Shaoping Wang,et al.  An accelerated life test model of hydraulic piston pumps based on dependency analysis: Model development , 2015, 2015 IEEE 10th Conference on Industrial Electronics and Applications (ICIEA).

[25]  Pär Johannesson.  Rainflow Cycles for Switching Processes with Markov Structure , 1998 .

[26]  Yu Jian-fei.  Research on residual life prediction technique of hydraulic pump based on accelerated degradation data , 2011 .