Combining regression trees and the finite element method to define stress models of highly non-linear mechanical systems

Lostado, R.; Martínez-de-Pisón, Francisco Javier; Pernía, A.; Alba, Fernández; Blanco‐Fernández, Julio

doi:10.1243/03093247jsa497

Cited by 22 publications

(19 citation statements)

References 12 publications

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“…Models based on soft computing techniques normally require a larger amount of data to obtain a good model than that required for RSM (Escribano et al 2014;Lostado et al 2014). Using soft computing techniques, Lostado et al (2009) studied the contact pressure on a hub where it was mounted a double-row TRB. In this case, different types of regression techniques were used to predict the distribution of the contact pressures on the hub as function of a preload, a load and a friction coefficient.…”

Section: Use Of the Fem For Modeling And Optimizing Bearingsmentioning

confidence: 99%

Optimization of operating conditions for a double-row tapered roller bearing

Lostado

Escribano-García

Martinez

2015

Int J Mech Mater Des

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This paper proposes a methodology that combines the Finite Element Method and multiple response surface optimization to search for the optimal operating conditions of a double-row Tapered Roller Bearing (TRB) that has a Preload (P), radial load (F r ), axial load (F a ) and torque (T). Initially, FE models based on a double-row TRB are built and validated in the basis of experimental data and theoretical models. Three of the most important parameters used in the design of TRB were obtained from a simulation of the FE models with a combination of several operating conditions that were previously selected in accordance with a design of experiments. The design parameters are: contact stress radio for both rows of rollers (S 1 and S 2 ), maximum deformation of the outer raceway (a max ), and the difference between the gaps of the inner raceways (Dd) or misalignment. Based on the results of the FE simulations, quadratic regressions models are generated that use the response surface method to predict the design parameters when new operating condition are applied. Then, a multi-response optimization study based on these models and using desirability functions is conducted. It is concluded that the accuracy of the results demonstrates that this methodology may be used to search for the optimal operating condition in a double-row TRB. KeywordsDouble row tapered roller bearing Á Finite element method Á Design of experiments Á Multiple response surface optimization List of symbols l t Rollers' effective length (mm) d m Mean diameter of tapered roller (mm) D max Diameter of tapered roller at large end (mm) D min Diameter of tapered roller at small end (mm) D m Bearing pitch diameter (mm) D i Bore diameter (mm) D o Outer diameter (mm) L Longitude of the bearing (mm) Z Number of rollers b oSemi minor axis of the projected contact ellipse (mm) K n Load deflection factor r

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Section: Use Of the Fem For Modeling And Optimizing Bearingsmentioning

confidence: 99%

Optimization of operating conditions for a double-row tapered roller bearing

Lostado

Escribano-García

Martinez

2015

Int J Mech Mater Des

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“…The use of the FE method reduces the time and cost involved in designing complex mechanical devices. It is an effective method to understand the internal force state of the bearing 12,13 and thus has been applied by many researchers. Demirhan et al.…”

Section: Introductionmentioning

confidence: 99%

“…Lostado et al. 12 studied the contact stress on a hub on which a double-row tapered roller bearing. In this case, regression models were developed in order to predict the distribution of contact stresses on the roller as a function of the preload, the load, and the friction coefficient in a three-dimensional FE model.…”

Section: Introductionmentioning

confidence: 99%

“…At present, the analysis of the bearing mechanical properties can be divided into rigid rings 1,17–19 and elastic rings. 5–7,12–15,20 The rigid rings assume that there is only partial contact deformation, and the other part does not produce elastic deformation so that there is certain deviation from the actual mechanical properties of the bearing, especially for bearings with thin walls, large clearances, and large loads. The analytical methods of the mechanical properties of bearings considering the deformation of supporting structures and inner and outer rings are mainly analytical and FE methods.…”

Section: Introductionmentioning

confidence: 99%

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Distribution characteristics of stress and displacement of rings of cylindrical roller bearing

Zhou

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, the developed finite element model of the shaft-cylindrical roller bearing–bearing housing system is established considering the temperature effect and clearance change. The displacement, raceway stress, and bearing stiffness characteristics of the inner and outer rings of the bearing are systematically investigated. The proposed finite element model is validated through adjusting mesh size of the bearing and the comparison of the elastic deformation of the bearing with the experiment. The influence of load, clearance, and temperature expansion on the displacement distribution of the inner and outer rings of the bearing, raceway stress, and stiffness characteristics are all discussed. The obtained results indicate that an appropriate selection of thermal expansion stress can obtain desirable working ambient temperature of the bearing under different clearances, which can serve as an efficient tool in the design of bearing parameters.

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“…FEM is known to be a powerful tool to design and optimize mechanical devices, as well as different human body parts or even human prostheses for foot, knee or hip. This is especially true when their behavior is nonlinear [ 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 ]. Over the years, several researchers have used the FEM to study the mechanical behavior of the human IVD.…”

Section: Introductionmentioning

confidence: 99%

Improving the Process of Adjusting the Parameters of Finite Element Models of Healthy Human Intervertebral Discs by the Multi-Response Surface Method

et al. 2017

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The kinematic behavior of models that are based on the finite element method (FEM) for modeling the human body depends greatly on an accurate estimate of the parameters that define such models. This task is complex, and any small difference between the actual biomaterial model and the simulation model based on FEM can be amplified enormously in the presence of nonlinearities. The current paper attempts to demonstrate how a combination of the FEM and the MRS methods with desirability functions can be used to obtain the material parameters that are most appropriate for use in defining the behavior of Finite Element (FE) models of the healthy human lumbar intervertebral disc (IVD). The FE model parameters were adjusted on the basis of experimental data from selected standard tests (compression, flexion, extension, shear, lateral bending, and torsion) and were developed as follows: First, three-dimensional parameterized FE models were generated on the basis of the mentioned standard tests. Then, 11 parameters were selected to define the proposed parameterized FE models. For each of the standard tests, regression models were generated using MRS to model the six stiffness and nine bulges of the healthy IVD models that were created by changing the parameters of the FE models. The optimal combination of the 11 parameters was based on three different adjustment criteria. The latter, in turn, were based on the combination of stiffness and bulges that were obtained from the standard test FE simulations. The first adjustment criteria considered stiffness and bulges to be equally important in the adjustment of FE model parameters. The second adjustment criteria considered stiffness as most important, whereas the third considered the bulges to be most important. The proposed adjustment methods were applied to a medium-sized human IVD that corresponded to the L3–L4 lumbar level with standard dimensions of width = 50 mm, depth = 35 mm, and height = 10 mm. Agreement between the kinematic behavior that was obtained with the optimized parameters and that obtained from the literature demonstrated that the proposed method is a powerful tool with which to adjust healthy IVD FE models when there are many parameters, stiffnesses, and bulges to which the models must adjust.

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Combining regression trees and the finite element method to define stress models of highly non-linear mechanical systems

Cited by 22 publications

References 12 publications

Optimization of operating conditions for a double-row tapered roller bearing

Optimization of operating conditions for a double-row tapered roller bearing

Distribution characteristics of stress and displacement of rings of cylindrical roller bearing

Improving the Process of Adjusting the Parameters of Finite Element Models of Healthy Human Intervertebral Discs by the Multi-Response Surface Method

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