کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
787971 | 1465342 | 2013 | 11 صفحه PDF | دانلود رایگان |
This work describes an approach to simulate contacts between three-dimensional shapes with compliance and damping using the framework of the differential variational inequality theory. Within the context of non-smooth dynamics, we introduce an extension to the classical set-valued model for frictional contacts between rigid bodies, allowing contacts to experience local compliance, viscosity, and plasticization. Different types of yield surfaces can be defined for various types of contact, a versatile approach that contains the classic dry Coulomb friction as a special case. The resulting problem is a differential variational inequality that can be solved, at each integration time step, as a variational inequality over a convex set.
► Problems with large number of parts with contacts are expressed as differential variational inequalities (DVIs).
► The same model can be adjusted to range from infinitely rigid contacts to compliant contacts.
► Optional damping and plasticization can be added to compliant contacts.
► The problem is solved with a spectral projected gradient method.
► Application can range from real-time simulations in robotics to complex granular flows.
Journal: International Journal of Non-Linear Mechanics - Volume 53, July 2013, Pages 2–12