Research on Unified Model of Hysteretic Mechanical Characteristic of Rubber Bellows for Rolling Lobe Air Spring under Variable Pressure Working Conditions
The rubber bellows is the essential component that affects the mechanical characteristics of rolling lobe air spring(RLAS),resulting in the typical hysteretic nonlinear characteristics,time-varying pressure parameters characteristics and others.Focusing on modeling difficulty of describing the hysteretic mechanical characteristics of rubber bellows under variable pressure working conditions,Coulomb friction pressureperturbation model and fractional derivative Kelvin-Voigt pressure perturbation model are jointly used to describe the hysteretic mechanical behavior of rubber bellows by introducing pressure factor,and the evolution laws of model parameters under variable pressure working conditionsare characterized by constructing unified pressure equation.The unified model of hysteretic mechanical characteristics of rubber bellows for RLAS under variable pressure working conditions is established.Based on the MTS852.05 test bench,the static and dynamic characteristics of RLAS under variable pressure working conditions were tested with a RLAS as test sample A.The calculation and test results show that the relative error of static stiffness hysteresis loopof test sample A is less than 1.1%,the relative error of loss energy of hysteresis loop is less than 1.3%,and the maximum relative error of dynamic stiffness is less than 3.4%,which verifies the accuracy and universality of unified model of hysteretic mechanical characteristics of rubber bellows for RLAS under variable pressure working conditions.Finally,the influence laws of pressure factor on the hysteretic mechanical characteristics of rubber bellowsare further analyzed,and It is pointed out that the positive correlation of pressure factors on model parameters Ffmax(pz)and Ke(pz)leads to similar pressure dependence of dynamic characteristics of rubber bellows.The research results provide a theoretical basis for stiffness design and matching of RLAS under variable pressure working conditions.
rubber bellowsrolling lobe air springhysteretic mechanical characteristicunified modelvariable pressure working conditions