By Bo Jacobson, Joost J. Kalker
ISBN-10: 3211833323
ISBN-13: 9783211833322
ISBN-10: 3709127823
ISBN-13: 9783709127827
Preface.- Rolling touch Phenomena - Linear Elasticity.- Finite aspect equipment for Rolling Contact.- Plastic Deformation in Rolling Contact.- Non-Steady nation Rolling touch and Corrugations.- Modelling of Tyre strength and second Generation.- Rolling Noise.- Lubrication
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Determine pim) with p~m) as tangential traction. This is a normal contact problem with fixed tangential traction, so that 9 does not playa role. 3. Determine p~m+1) with p1m) as normal traction, and 9 = fp1m) as traction bound. Now 9 is given, and hence 6g = 0, and we can apply our theories. 4. When p~m+l) is close enough to p~m), stop; else reiterate. 6 Existence-uniqueness theory The principle of virtual work has been used to establish existence and uniqueness theorems of the contact mechanical field for several types of bulk material: • In 1964 Fichera [2] established the existence and uniqueness of the normal contact problem of frictionless contact 9 = O.
E. the theory in which the slip vanishes, was studied as an example of simplified theory. Its development closely parallels the exact theoretic model. p: In fact, the linear theory is only approximate, it holds for small creepages. When the spin vanishes, one can develop an analytical solution of simplified theory, indicated in the text. When the spin does not vanish, one needs a numerical method: FASTSIM. Results show the division of the contact area into regions of stick and slip; the behaviour of the total force when only one creepage component is non-zero, and some cases when only one component of the creepage vanishes.
In the same way, dC < 0 sub (203), (206), (207), with L [- { C a~~ lv - { [hpz lAc Q ~SijhkaijahkdV + { + (WT h. LiPidS] + - Q u~)pT]dS C is called the complementary energy. 1) that these conditions characterize 1. The global minimality of U at the solution; (210) Rolling Contact Phenomena 57 2. The global maximality of C at the solution; 3. The equality of U and C at the solution; 4. The uniqueness of the solution, all under the rather restrictive conditions (206) and (207). 5 The case that 8g 'I- 0 According to (207) the theory of the previous subsections does not seem to apply when 6g is not constrained to be zero, that is, when 9 is not prescribed beforehand.
Rolling Contact Phenomena by Bo Jacobson, Joost J. Kalker
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