By Orang Vahid-Araghi
Friction-Induced Vibration in Lead Screw Drives covers the dynamics of lead screw drives with an emphasis at the function of friction. Friction-induced vibration in lead screws will be the reason for unacceptably excessive degrees of audible noise in addition to lack of operation accuracy and shortened existence. even though lead screw drives have a protracted background and their mechanical layout and production facets are rather well understood, the function of friction of their dynamical habit has no longer been comprehensively handled. The publication attracts at the sizeable physique of labor just about dynamical structures with friction (such as disk brake platforms) and gives stated remedy, alongside with:
· precise insurance of modeling of multi-DOF lead screw platforms with friction
· distinctive research of adverse damping, mode coupling, and kinematic constraint instability mechanisms in lead screws drives
· a realistic parameter identity method for the rate established 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 contains a sensible case research the place the built tools are used to check the over the top noise challenge of a lead screw force procedure and to place ahead layout differences that do away with the friction-induced vibrations.
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Extra info for Friction-Induced Vibration in Lead Screw Drives
They used a third-order polynomial to describe the velocity-dependent coefficient of friction. , humped friction model), the presence of one or more sections of negative slope in the friction–sliding velocity curve can lead to self-excited vibration without sticking [4, 70, 71]. 2 Mode Coupling In Chap. 3, we mentioned circulatory systems which are described (after linearization) by asymmetric stiffness and/or damping coefficient matrices. , [48, 49, 72, 73]). In Sect. 1 below, we give a classic example where a follower force causes flutter instability.
The mass is suspended using vertical and horizontal linear springs and dampers. An additional spring placed at 45 angle is also considered which acts as the coupling between vertical 48 4 Friction-Induced Instability Fig. 12 A simple 2-DOF model capable of exhibiting mode coupling instability  and horizontal motions. , Ft ¼ mFn where m is the constant coefficient of friction. Also the conveyor belt is moving with constant velocity, vb > 0. The downward force R is assumed large enough to ensure that the contact between mass and conveyor belt is not lost.
6) is the slope of the coefficient of friction vs. relative velocity. 5) is unstable. In this situation, the vibration amplitude grows until it reaches an attractive limit cycle. , vb À y_ ¼ 0, stick–slip periodic vibration occurs. In the next two sections, periodic vibrations in cases where pure-slip and stick–slip motions occur are studied separately. 4), closedform solutions are not available. 1 Periodic Vibration: Pure-Slip Motion The following derivations closely follow [57, 62]. If a periodic motion exists where v > 0 for all t > 0, then no sticking occurs and the discontinuity of the friction is not encountered.
Friction-Induced Vibration in Lead Screw Drives by Orang Vahid-Araghi