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New Solutions in Contact Mechanics [Kõva köide]

  • Formaat: Hardback, 312 pages, kõrgus x laius: 230x155 mm, Illustrations
  • Ilmumisaeg: 30-Jun-2004
  • Kirjastus: WIT Press
  • ISBN-10: 1853129941
  • ISBN-13: 9781853129940
Teised raamatud teemal:
New Solutions in Contact MechanicsSuurem pilt
  • Formaat: Hardback, 312 pages, kõrgus x laius: 230x155 mm, Illustrations
  • Ilmumisaeg: 30-Jun-2004
  • Kirjastus: WIT Press
  • ISBN-10: 1853129941
  • ISBN-13: 9781853129940
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781853129940.html
Märksõnad:
This work presents analytical solutions and numerical algorithms for advanced elastic contact with friction engineering problems found in such dynamical examples as vehicle collisions or robot control. Fourteen chapters cover singular integral equations of plane contact problems, asymmetric contact problems, general load histories for Hertzian contact, frictional contact problems, equations and convergence considerations of the Gauss-Seidel method and numerical results of the method, equations and solutions of motion for impact problems, analytical solutions for tangential and torsional impact, and applications for ultrasonic motors and granular material. The CD-ROM contains a demonstration version of a boundary element algorithm for contact with friction. The US office of WIT Press is Computational Mechanics. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)

This book presents new analytical solutions and advanced numerical algorithms for nonlinear contact problems. Classical solutions as well as modern results for plane, axisymmetric and three-dimensional contact with friction are covered, while the derivations given are suitable for undergraduates in engineering. Features details and a proof of the author's new principle for elastic contact with friction of general bodies. Includes a CD-ROM containing a Boundary Element Method program for half-spaces and some input files for ANSYS. Describes numerical and analytical solutions for frictional impact and other applications.
Preface ix
1 Summary
1(2)
2 Symbols and notation
3(2)
3 Introduction
5(10)
4 Summary of the basic equations
15(38)
4.1 Basic equations of linear elasticity
15(3)
4.2 Concentrated forces on a half-plane
18(3)
4.3 Papkovich-Neuber solution
21(3)
4.4 Concentrated normal force on a half-space
24(2)
4.5 Concentrated tangential force on a half-space
26(2)
4.6 Arbitrary load distribution on the surface
28(3)
4.7 Hertz's formula for the stress in cylinders
31(5)
4.8 The reduced elastic friction model
36(6)
4.9 Example: Interior stress field for plane contact
42(4)
4.10 Contact of equal layers
46(7)
5 Solutions for plane contact
53(44)
5.1 Introduction
53(3)
5.2 Symmetric normal contact
56(9)
5.3 Asymmetric and general normal contact
65(4)
5.4 Oblique contact of symmetric profiles
69(4)
5.5 Uncoupled plane contact with end singularities
73(9)
5.6 Dissimilar half-planes under full sliding
82(5)
5.7 Flat punch with square edge and rounding
87(2)
5.8 Superposition of punches
89(2)
5.9 Multiple contact areas
91(3)
5.10 Table of solutions
94(3)
6 Solutions for axi-symmetric profiles
97(22)
6.1 Normal contact
97(6)
6.2 Torsional loading
103(6)
6.3 Tangential shift
109(3)
6.4 General equations for the coupled problem
112(4)
6.5 Table of solutions
116(3)
7 General contact and comparison with FEM and BEM programs
119(20)
7.1 Hertzian normal contact
119(5)
7.2 General load histories for Hertzian contact
124(6)
7.3 Examples for Hertzian contact
130(4)
7.4 Comparison with Ansys
134(3)
7.5 Comparison with Beasy
137(2)
8 Computation of contact problems
139(20)
8.1 Discretization of half-planes
139(2)
8.2 Uncoupled half-planes
141(8)
8.3 Discrete equations for half-spaces
149(6)
8.4 Contact algorithms for normal contact
155(2)
8.5 Algorithms for frictional contact
157(2)
9 Gauss-Seidel method for frictional contact problems
159(22)
9.1 Introduction
159(2)
9.2 Contact conditions and sign conventions
161(2)
9.3 Vector formulation of the load displacement equations
163(3)
9.4 The Gauss-Seidel method
166(1)
9.5 Linearization of the friction law
167(2)
9.6 Contact algorithms
169(2)
9.7 Convergence of the Gauss-Seidel method
171(1)
9.8 Convergence of the block iteration method
172(9)
10 Numerical results for incremental load-histories 181(24)
10.1 Introduction
181(1)
10.2 Spheres
182(5)
10.3 Elliptical contact areas
187(1)
10.4 Dissimilar materials
187(3)
10.5 Torsion with shift
190(5)
10.6 Flat punch
195(4)
10.7 Examples for dissimilar material
199(6)
11 Basic equations and solutions for impact 205(20)
11.1 The principal axes of inertia and the principal curvatures
205(5)
11.2 The equations of motion
210(4)
11.3 Normal solution
214(4)
11.4 Tangential solution for the compression phase
218(2)
11.5 Restitution phase
220(3)
11.6 Velocity ratio
223(2)
12 Tangential and torsional impact of spheres 225(28)
12.1 Tangential contact of spheres
225(5)
12.2 The equations of motion
230(2)
12.3 Impact algorithm and comparison with Maw et al.
232(5)
12.4 Torsion of elastic spheres
237(5)
12.5 Impact with torsion
242(5)
12.6 Algorithm for torsional impact
247(1)
12.7 Comparison with Horak's result
248(5)
13 Numerical results for impact 253(6)
13.1 Verification of the Cattaneo-Mindlin theory
254(1)
13.2 Impact with dissimilar materials
255(2)
13.3 Torsion
257(1)
13.4 Ellipsoid bodies
257(2)
14 Applications 259(32)
14.1 Ultrasonic motors
259(7)
14.2 Granular material
266(5)
14.3 Oblique impact of eccentric bodies
271(14)
14.4 Self locking of brakes
285(6)
Appendices 291(8)
A1 Singular integrals
291(1)
A2 Definition of hypergeometric functions
292(1)
A3 Special values of hypergeometric functions
293(2)
A4 Integral equations
295(1)
A5 Tables
296(3)
References 299(12)
Index 311