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Transient friction effects determine the behavior of a wide class
of mechatronic systems. Classic examples are squealing brakes,
stiction in robotic arms, or stick-slip in linear drives. To
properly design and understand mechatronic systems of this type,
good quantitative models of transient friction effects are of
primary interest. The theory developed in this book approaches this
problem bottom-up, by deriving the behavior of macroscopic friction
surfaces from the microscopic surface physics. The model is based
on two assumptions: First, rough surfaces are inherently fractal,
exhibiting roughness on a wide range of scales. Second, transient
friction effects are caused by creep enlargement of the real area
of contact between two bodies. This work demonstrates the results
of extensive Finite Element analyses of the creep behavior of
surface asperities, and proposes a generalized multi-scale area
iteration for calculating the time-dependent real contact between
two bodies. The toolset is then demonstrated both for the
reproduction of a variety of experimental results on transient
friction as well as for system simulations of two example systems.
Transient friction effects determine the behavior of a wide class
of mechatronic systems. Classic examples are squealing brakes,
stiction in robotic arms, or stick-slip in linear drives. To
properly design and understand mechatronic systems of this type,
good quantitative models of transient friction effects are of
primary interest. The theory developed in this book approaches this
problem bottom-up, by deriving the behavior of macroscopic friction
surfaces from the microscopic surface physics. The model is based
on two assumptions: First, rough surfaces are inherently fractal,
exhibiting roughness on a wide range of scales. Second, transient
friction effects are caused by creep enlargement of the real area
of contact between two bodies. This work demonstrates the results
of extensive Finite Element analyses of the creep behavior of
surface asperities, and proposes a generalized multi-scale area
iteration for calculating the time-dependent real contact between
two bodies. The toolset is then demonstrated both for the
reproduction of a variety of experimental results on transient
friction as well as for system simulations of two example systems.
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