Multigrid method for the solution of EHL line contact with bio-based oils as lubricants

Awati, Vishwanath B.; Naik, Shankar; Kumar, Niraj

doi:10.21042/amns.2016.2.00031

Cited by 13 publications

(5 citation statements)

References 16 publications

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“…If we denote by and ignoring superscripts which represent the grid level, the algebraic equation for pressure on each level can be expressed as: = ( = 1, 2, ..., -1). For an under-relaxation factor , the process for the pressure iteration can be described as [20]:…”

Section: Methods Of Solutionmentioning

confidence: 99%

A multigrid method for EHL line contact problem with Grease as lubricant

Awati¹,

Naik²

2017

Math. models, eng.

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Section: Methods Of Solutionmentioning

confidence: 99%

A multigrid method for EHL line contact problem with Grease as lubricant

Awati¹,

Naik²

2017

Math. models, eng.

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“…It is much more di cult to calculate the reliability of actual bridge structure, mainly because there may be more than one failure member, and the failure mode of the structure may be more than one form. The calculation of reliability of general structural system is to adopt an equivalent system to simulate the actual structure while considering all the corresponding failure modes [15][16][17][18][19][20][21]. In aseismic engineering of long-span bridges, the bridge structure itself is a complex statically indeterminate structure system.…”

Section: Dynamic Reliability Analysis Of Bridge Structures Based Onmentioning

confidence: 99%

Feasibility simulation of aseismic structure design for long-span bridges

Lai¹,

Sedighi²

2018

Open Physics

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In the traditional finite element analysis method, when simulating the feasibility of aseismic structure design of long-span bridges, only finite element analysis is carried out on the bridge structure without considering the aseismic situation of the aseismic structure of the bridge under different schemes, which leads to one-sidedness of the simulation results. Therefore, a new simulation method for the feasibility study of seismic design of long-span bridges is proposed in this paper. 5 seismic isolation schemes for long-span bridge structures are designed. The lock-up devices and liquid viscous dampers are deployed in bridge structure. Numerical simulation of bridge structure is carried out by establishing calculation model and improved hierarchical Kerr spring model. The responses of long-span bridges under seismic loading for 5 seismic isolation schemes are analyzed. On this basis, the seismic performance of long-span bridges is tested by using the multi-point excitation motion equation, the response power spectrum and the structural dynamic reliability analysis based on the first transcendental failure criterion. Experimental results show that all the five seismic isolation schemes are feasible, and the seismic effect of the schemes 4 and 5 is the strongest. The maximum horizontal thrust of pier top is 6.27E+062, 0.50E+07 and 6.00E+06, 2.78E+07, respectively. The proposed method can be used to simulate the seismic response of long-span bridges.

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“…Kantli et al [26] and Shettar et al [27] use a couple of stress fluid models in their detailed investigation of the second pressure spike and use Jacobian-free Newton-GM-RES and Newton-MG schemes respectively. It is of interest to find the entry of bio-based lubricants in EHL [28] which are later also used by Awati et al [29] , Awati and Shankar [30] to find its novel features in tribology. Sternicht et al [31] were one of the earliest investigators to incorporate thermal effects in EHL rolling/sliding line contact problem.…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution for Thermal Elastohydrodynamic Lubrication of Line Contact with Couple Stress Fluid as Lubricant

B. Awati,

Kumar N,

M. Bujurke

2023

j. of mech. mater. and mech. res.

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In this paper, the detail analysis of the influence of thermal and non-Newtonian aspects of lubricant (couple stress fluid) on EHL line contact as a function of slide-roll ratio is presented. The novel low complexity FAS(Full approximation scheme), of Multigrid scheme, with Jacobi dipole and Gauss Seidel relaxationis used for the solution of coupled equations viz.modified Reynolds equation, film thickness equation and energy equation satisfying appropriate boundary conditions. The analysis reveals the combined influence of non-Newtonian, thermal and slide-roll ratio (of bearing movingwith different speeds) on pressure, film thickness and pressure spike covering wide range of physical parameters of interest. Results show that pressure spike is strongly influenced by thermal, slide-roll ratio and non-Newtonian character of lubricant with negligible effect on overall pressure distribution. Also, minimum film thickness is slightly altered and it increases with increase in couple stress parameter. These findings confirm the importance of non-Newtonian and thermal effects in the study of EHL.

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Multigrid method for the solution of EHL line contact with bio-based oils as lubricants

Cited by 13 publications

References 16 publications

A multigrid method for EHL line contact problem with Grease as lubricant

A multigrid method for EHL line contact problem with Grease as lubricant

Feasibility simulation of aseismic structure design for long-span bridges

Numerical Solution for Thermal Elastohydrodynamic Lubrication of Line Contact with Couple Stress Fluid as Lubricant

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