Numerical-analytical investigation into impact pipe driving in soil with dry friction. Part I: Nondeformable external medium

Aleksandrova, N. I.

doi:10.1134/s1062739148050103

Cited by 14 publications

(11 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The given study continues the research in [21], considering deformation of the surrounding medium, compares the results of the both models and identifies the applicability of the simple model. The author uses the end-to-end numerical calculation of wave processes is systems with dry friction, that allows analyzing any type load.…”

mentioning

confidence: 60%

“…8 were performed for two models of impact pulse loading and different ultimate shear stresses. The thin curve shows model (2)-(10); the thick curve illustrates model (2)-(4), (9) disregarding external medium action from [21]. The problem parameters were .…”

Section: Plane Problem On Elastic Interaction At the Pipe And Soil Inmentioning

confidence: 99%

“…10b). In [21], using model with neglected formability of soil around a pipe, it was shown that, given the indicated parameters, the impact pulse to reach the pipe ends requires fulfillment of the equality L S L P S P t t t ≈ = ) 2 /( / 0 0 τ (dash-dotted curve in Fig. 10b).…”

Section: Plane Problem On Elastic Interaction At the Pipe And Soil Inmentioning

confidence: 99%

See 2 more Smart Citations

Numerical-analytical investigation into impact pipe driving in soil with dry friction. Part II: Deformable external medium

Aleksandrova

2013

J Min Sci

Self Cite

View full text Add to dashboard Cite

Abstract-Under analysis is travel of P-waves in an elastic pipe partly embedded in soil with dry friction. The mathematical formulation of the problem on impact pipe driving in soil is based on the model of axial vibration of an elastic bar, considering lateral resistance described using the law of solid dry friction. The author solves problems on axial load on pipe in interaction with external elastic medium, and compares the analytical and numerical results obtained with and without accounting for the external medium deformability.Keywords: Axial waves, elastic bar, dry friction, pulsed loading, numerical modelingThe problems on the behavior of pipes in soil appear in many engineering procedures such as driving and pulling of piles, trenchless laying of underground utilities, underground pipework laying. Motion of various rods in mechanical systems always goes with friction. It is important to understand the influence exerted on wave process by friction of external environment and side surface of a pipe or a rod. Research of the interaction of bodies with friction is extensive .The wave processes in rods embedded in a medium were first considered by Gersevanov [11] in 1930, based on Saint-Venant's theory. Later on, propagation of P-waves in a rod with constantamplitude and different-oriented dry friction was an object of study [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. These studies assumed the rod was driven in undeformable medium. A general approach to solving such problems is reducing the nonlinear problem to a set of successively solved linear problems. It is required to define boundaries in time and axial coordinate for domains where friction has constant value and orientation. The axis of friction depends on the sign of the wave velocity. Solution in each of the domains is constructed considering the preliminary determined sign of the velocity. This approach allowed solving a lot of problems with sufficiently simple laws of loading exerted on the rod.Nonstationary and stationary one-dimensional problems on pipe and soil interaction by the law of external dry friction in the framework of the model of sonic and ultrasonic flow of a finite and infinite rod can be found in [8,13,15], and two-dimensional problem of pipe driving in soil is discussed in [19].Many researches focused on problems on piling [26][27][28][29][30][31][32][33][34][35]. In [26] experimental data on hammer accelerations are used to calculate distribution of soil resistance along a pile. In [27] a simple dynamic model is offered to find soil resistance coefficient in the course of piling; the calculated results are compared with the dynamic testing database, and it is discussed how to use the soil resistance model in the wave equation of the pile motion. Dynamic analysis of side surface of pile uses boundary element approach in [28], and the finite element method is chosen to solve axially symmetric twodimensional problem on piling, with algorithm of slip friction contact on the pile and soil interface in [...

show abstract

mentioning

confidence: 60%

Section: Plane Problem On Elastic Interaction At the Pipe And Soil Inmentioning

confidence: 99%

See 1 more Smart Citation

Numerical-analytical investigation into impact pipe driving in soil with dry friction. Part II: Deformable external medium

Aleksandrova

2013

J Min Sci

Self Cite

View full text Add to dashboard Cite

show abstract

“…The problem was solved by the cross-type explicit finite difference scheme. The algorithm to calculate dry friction in the numerical solution for a rod-like pipe is described in [21,22]. Figure 7 shows fragments of the pipe velocities.…”

Section: Comparison Of the Solutions Obtained With And Without Regardmentioning

confidence: 99%

“…The analytical solutions for one degree of freedom systems with dry friction are given in [4,6,10,13,14,17,18,20]. Stead-state motion of one or two bodies with dry friction described the Coulomb law [1] was analyzed in [2-4, 9, 12-14, 17], and nonsteady motionin [9,10,18,[20][21][22][23][24]. Most of these studies are focused on the stick/slip change under harmonic driving force.…”

Section: Introductionmentioning

confidence: 99%

Influence of Soil Plug on Pipe Ramming Process

Aleksandrova

2017

J Min Sci

Self Cite

View full text Add to dashboard Cite

Different modes of advance of a pipe with a soil plug under rectangular impulse are investigated numerically and analytically with regard to dry friction between the pipe and plug and between the pipe and external stationary medium. The two model solutions are compared with and without regard to the pipe and plug elasticity. It is shown that elasticity of the pipe and plug is neglectable in case of a long-duration impulse.

show abstract

Shock Torsion Wave in an Elastic Rod with Decreasing Function of Viscoplastic External Friction

Shatskyi,

Perepichka

2024

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

Numerical-analytical investigation into impact pipe driving in soil with dry friction. Part I: Nondeformable external medium

Cited by 14 publications

References 7 publications

Numerical-analytical investigation into impact pipe driving in soil with dry friction. Part II: Deformable external medium

Numerical-analytical investigation into impact pipe driving in soil with dry friction. Part II: Deformable external medium

Influence of Soil Plug on Pipe Ramming Process

Shock Torsion Wave in an Elastic Rod with Decreasing Function of Viscoplastic External Friction

Contact Info

Product

Resources

About