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- W1562205957 abstract "Unilateral contact and friction are often modelled with set-valued force laws. Mechanical systems with set-valued force laws lead to differential inclusions and form an important class of non-smooth systems. In this chapter we will discuss the mathematical formulation of mechanical multibody systems with unilateral contact and friction modelled with set-valued force laws. The contact laws for unilateral contact and dry friction will be expressed by normal cone formulations which allows for a unified approach for the treatment of normal and tangential contact forces. The normal cone formulations put the set-valued force laws in a framework of Convex Analysis which opens the way to a description by non-smooth potentials. The mathematical framework developed in this chapter will give the basis for the numerical simulation methods presented in Chapter 6. The notation in this chapter is kept as close as possible to the notation of Glocker [51]." @default.
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- W1562205957 date "2008-01-01" @default.
- W1562205957 modified "2023-09-26" @default.
- W1562205957 title "Mechanical Systems with Set-valued Force Laws" @default.
- W1562205957 doi "https://doi.org/10.1007/978-3-540-76975-0_5" @default.
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