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Modelling and Bi-objective Optimization of Soil Cutting and Pushing Process for Bulldozer and its Blade

  • Nada Barakat
  • Deepak SharmaEmail author
Original Contribution

Abstract

Bulldozer is an earth moving machine, which is mainly used for cutting and pushing soil. The process of soil cutting and pushing involves various decisions making to make it optimum. The decisions are generally made based on the experience of practitioners that may not be optimum for different working conditions. In this paper, a bi-objective optimization problem is modelled so that the optimum values of decision variables can be determined. The objective functions are proposed to make the process economic and productive by minimizing the cutting force on a bulldozer blade and maximizing the blade capacity. A constraint is also developed on the power requirement from a bulldozer to overcome resistance. The problem is solved using ε-constraint method and multi-objective genetic algorithm. The approximate Pareto-optimal solutions and their perturbation analysis are presented. Various relationships are evolved from the post-optimal analysis that can be used for making guidelines for decision making for the process. The originality of this paper lies in developing the bi-objective formulation and in presenting various relationships by the post-optimal analysis, which has sparingly done in the domain literature.

Keywords

Modelling and optimization Bulldozer Soil–blade interaction Genetic algorithm Post-optimal analysis 

Notations

B

Blade width, m

H

Blade height, m

R

Blade curvature radius, m

θ

Blade curvature angle, radians

δ

Soil-metal angle friction, radians

γo

Density of cut soil, kg/m3

γ

Uncut soil density, kg/m3

Co

Cohesion of cut soil, N/m2

C

Cohesion of uncut soil, N/m2

Ad

Soil adhesion factor, N/m2

φ

Angle of internal friction of soil, radians

φo

Angle of accumulation of cut soil, radians

β

Angle that the rapture plane makes with horizontal, radians

α

Cutting angle of blade, radians

v

Bulldozer velocity, m/s

D

Cutting depth, m

m1g

Weight of soil pile moving on the ground (fgde), N

m2g

Weight of cut soil (abdgf) sliding up on the surface of the blade, N

m3g

Weight of soil wedge (bcdnmk), N

Ff1

Frictional force between soil pile (fgde) and ground, N

Fc1

Cohesion force between soil pile (fgde) and ground, N

Pf2

Frictional force between blade and cut soil (abdgf), N

Fad

Adhesion force between the soil and cutting edge of the blade, N

Pad

Adhesion force between blade and cut soil (abdgf), N

Pf1

Frictional force between soil pile (fgdc) and cut soil, N

Pc1

Cohesion force between soil pile(fgdc) and cut soil (abdgf), N

G

Force acting normal to the face (bcd) and (nmk) of soil wedge, N

SF2

Frictional force on the sides (bcd) and (nmk) of soil wedge, N

CF2

Cohesion force on the sides (bcd) and (nmk) of soil wedge, N

CF1

Cohesion force on the rapture plane, N

SF1

Frictional force on the rapture plane, N

Q

Normal force on the rapture plane, N

W

Force acting normal to the face (bdkn) of soil wedge, N

Fx

The horizontal component of resultant cutting force N

Fy

The vertical component of resultant cutting force N

F

The resultant cutting force, N

Nγ, Nc, Nq

Reece dimensionless factors

q

Surcharge pressure, N/m2

P

The resistance force experienced at the blade, N

V

The blade capacity, m3

V1

The soil pile volume (fde), m3

V2

The soil pile volume (afg), m3

V3

The soil pile volume (abdg), m3

V4

The soil pile volume in the curvature area (ab), m3

μ

The frictional factor between the dozer crawlers and the soil

G1

The weight of dozer equipment, kN

Pbull

The flywheel power of dozer equipment, kN m/s

Rp

Rimpull supplied by bulldozer engine to overcome resistance forces, kN

PR

Remaining power of bulldozer engine, kN m/s

Notes

Acknowledgements

The authors are thankful to Indian Council for Cultural Relations for the support for studies and research.

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Copyright information

© The Institution of Engineers (India) 2017

Authors and Affiliations

  1. 1.Indian Institutes of Technology GuwahatiGuwahatiIndia

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