Measurement, analysis and reconstruction of residual stresses

Faghidian, S. Ali; Goudar, D. M.; Farrahi, G.H.; Smith, David J.

doi:10.1177/0309324712441146

Cited by 42 publications

(15 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the derivation of the dynamic equations of the entire HPGT system, the relative displacements between the components in HPGT need to be obtained first. According to the motion and deformation relationships between components as shown in Figures 4-6, the relative displacements can be deduced [16][17][18][19][20][21].…”

Section: Component Equivalent Displacements In Hpgtmentioning

confidence: 99%

The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

Ren

Shi

et al. 2020

Applied Sciences

View full text Add to dashboard Cite

In the presence of manufacturing errors, the dynamic properties of herringbone planetary gear train (HPGT) can be altered from the originally designed properties to have undesired behavior. In this paper, by considering the herringbone gear actual structure characteristics, manufacturing eccentric errors of members (i.e., carrier and gears) and tooth profile errors of gears, time-varying meshing stiffness, bearing deformation, and gyroscopic effect, a novel lateral–torsional–axial coupling dynamic model for the herringbone planetary gear system is formulated by using the lumped-parameter method, which is able to be employed in the dynamic feature analysis of the HPGT with an arbitrary number of planets and different types of manufacturing errors. By applying the variable-step Runge–Kutta algorithm, the dynamic response of a HPGT system is studied for cases with and without planet–gear eccentric error excitations. The dynamic contact forces of gears and bearings are analyzed for the two cases in time and frequency domains, respectively. Moreover, the effect of the planet–gear eccentricity on the vibration accelerations of the HPGT system is also discussed. The obtained results indicate that manufacturing error excitations such as the planet–gear eccentricity have a pronounced influence on the dynamic behavior of the HPGT system.

show abstract

Section: Component Equivalent Displacements In Hpgtmentioning

confidence: 99%

The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

Ren

Shi

et al. 2020

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…An alternative method is the stress function approach which does not utilize assumed eigenstrain distribution. Stress function approach approximate the residual stress field using a series of stress functions which directly solve the stress equilibrium equations together with the traction free boundary conditions (Farrahi et al, 2009a(Farrahi et al, , 2010Faghidian et al, 2012). Reconstruction of residual stress distribution due to surface peening was first attempted by Korsunsky (2005) utilizing the variational eigenstrain approach.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 23mentioning

confidence: 99%

“…Although a variety of examples exists for numerical selection of such variable parameters in stress function approach (Faghidian, 2014(Faghidian, , 2015Farrahi et al 2009aFarrahi et al , 2009bFaghidian et al, 2012) based on the well-posedness of the reconstructed solution considering relatively small condition number of the system of linear equations (Allaire and Kaber, 2008) Nonetheless numerical determination of appropriate values for shape function parameters results in a truncated series with six terms that has a fast convergence. It should be noted that, the convergence criterion for the asymptotic series would be defined as the norm of the discrepancy of successive approximations is of the order of the noise in data.…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 23mentioning

confidence: 99%

A Note on the Inverse Reconstruction of Residual Fields in Surface Peened Plates

Faghidian

2015

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

A modified stress function approach is developed here to reconstruct induced stress, residual stress and eigenstrain fields from limited experimental measurements. The present approach is successfully applied to three experimental measurements set in surface peened plates with shallow shot peening affected zone. The well-rehearsed advantage of the proposed approach is that it not only minimizes the deviation of measurements from its approximations but also will result in an inverse solution satisfying a full range of continuum mechanics requirements. Also, the effect of component thickness as a geometric parameter influencing the residual stress state is comprehensively studied. A key finding of present study is that the plate thickness has no influence on the maximum magnitude of eigenstrain profile and compressive residual stresses within the shot peening affected zone while having a great influence on the magnitude of tensile residual stress and the gradient of linear residual stresses present in deeper regions.

show abstract

“…An alternative approach is to select a set of stress functions (e.g. Airy stress functions for a 2D case) which satisfy the equilibrium and the object's boundary conditions [13], [14]. In a linear elastic material any linear combination of such stress functions will also satisfy these conditions.…”

Section: Stress Functionmentioning

confidence: 99%

Numerical Reconstruction of Residual Stress Fields from Limited Measurements

Coules

Smith

Serasli

2014

AMR

View full text Add to dashboard Cite

Abstract. By finding stress states which are consistent both with any existing experimental measurements and with elasticity theory, residual stress fields can often be reconstructed from incomplete measurement data. We discuss such methods of residual stress reconstruction, their implementation using finite element analysis, and the measurement strategies which enable them. In general, reconstruction of residual stress fields must be formulated as an inverse problem, which can usually be solved using stress basis functions. However, prior knowledge of the form of the residual stress field and/or underlying eigenstrain distribution often allows the problem to be reduced such that inverse methods become unnecessary, greatly simplifying the analysis. Two examples of when residual stress field reconstruction can be simplified in this way are given.

show abstract

Measurement, analysis and reconstruction of residual stresses

Cited by 42 publications

References 21 publications

The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

The Effects of the Planet–Gear Manufacturing Eccentric Errors on the Dynamic Properties for Herringbone Planetary Gears

A Note on the Inverse Reconstruction of Residual Fields in Surface Peened Plates

Numerical Reconstruction of Residual Stress Fields from Limited Measurements

Contact Info

Product

Resources

About