By Orang Vahid-Araghi
ISBN-10: 1441917519
ISBN-13: 9781441917515
ISBN-10: 1441917527
ISBN-13: 9781441917522
Friction-Induced Vibration in Lead Screw Drives covers the dynamics of lead screw drives with an emphasis at the position of friction. Friction-induced vibration in lead screws could be the reason for unacceptably excessive degrees of audible noise in addition to lack of operation accuracy and shortened existence. even if lead screw drives have an extended heritage and their mechanical layout and production features are rather well understood, the position of friction of their dynamical habit has now not been comprehensively taken care of. The booklet attracts at the large physique of labor almost about dynamical structures with friction (such as disk brake structures) and gives stated remedy, alongside with:
· specific insurance of modeling of multi-DOF lead screw platforms with friction
· certain research of unfavorable damping, mode coupling, and kinematic constraint instability mechanisms in lead screws drives
· a realistic parameter id strategy for the rate based coefficient of friction in lead screw drives
Friction-Induced Vibration in Lead Screw Drives serves because the definitive textual content at the friction-induced vibration of lead screws, and encompasses a useful case research the place the built equipment are used to review the over the top noise challenge of a lead screw force process and to place ahead layout variations that get rid of the friction-induced vibrations.
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Extra resources for Friction-Induced Vibration in Lead Screw Drives
Example text
M2 l2 cosðy2 À y1 Þ ; m2 l2 ! À Á Àm2 l2 y_ 22 sinðy2 À y1 Þ _ h u; u ¼ ; þm2 l2 y_ 21 sinðy2 À y1 Þ K¼ Fig. 7 2-DOF manipulator with a follower force k1 þ k2 Àk2 ! Àk2 ; k2 44 4 Friction-Induced Instability f ðuÞ ¼ ! ÀPl sinðy2 À y1 Þ À k2 y0 : k 2 y0 The equilibrium configuration is found by setting all temporal derivatives to zero. We have k1 þ k2 Àk2 Àk2 k2 ! y1eq y2eq ! À Á ÀPl sin y2eq À y1eq À k2 y0 ¼ ; k 2 y0 which yields y1eq ¼ À y2eq ¼ À Pl sin y0 ; k1 Pl sin y0 þ y0 : k1 The linearized system of equations with respect to small vibrations around the equilibrium state is found as Mw þ Lp w ¼ 0; where w ¼ ½ f1 f2 T , f1 ¼ y1 À y1eq , f2 ¼ y2 À y2eq , and À Á ðm1 þ m2 Þl2 M ¼ M ueq ¼ m2 l2 cos y0 _ !
43) can be represented graphically as shown in Fig. 17. As it can be seen from this figure, when A < 0 and B > 0, the solution is not unique and when A < 0 and B < 0 no solution exist.
Fðt; x; eÞ is Lipschitz continuous with respect to x and e with Lipschitz constants lx and le , respectively. The use of averaging method in this monograph is limited to the study of negative damping instability method in Sect. 1 and Chap. 6. 28 l l 3 Some Background Material RT The average, fðxÞ ¼ 1=T 0 fðt; x; 0Þdt exists uniformly with respect to x. 32), zðt; 0; x0 Þ, belongs to interior subset of D on time scale 1=e. 32): kxðt; eÞ À zðt; eÞk For 0 e e0 and 0 Proof See Appendix A. t ce: L=e.
Friction-Induced Vibration in Lead Screw Drives by Orang Vahid-Araghi
by Edward
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