4 papers
Repeated Binary Direct Collinear Impacts Under Incremental Contact Laws With Permanent Indentation: A Hybrid Systems Formulation
Mihails Milehins, Dan B. Marghitu
Incremental contact laws specify the normal contact force through a differential equation carrying an internal state, driven by the indentation and its rate. In some, the force is…
Asymptotic Behavior of an Unforced Duhem-Type Hysteretic Oscillator
Mihails Milehins, Dan B. Marghitu
The article describes fundamental analytical properties of an unforced mechanical oscillator with a Duhem-type viscoelastoplastic hysteretic element. These properties include globa…
Incremental Collision Laws Based on the Bouc-Wen Model: Improved Collision Models and Further Results
Mihails Milehins, Dan B. Marghitu
In the article titled "The Bouc-Wen Model for Binary Direct Collinear Collisions of Convex Viscoplastic Bodies" and published in the Journal of Computational and Nonlinear Dynamics…
The Bouc-Wen Model for Binary Direct Collinear Collisions of Convex Viscoplastic Bodies
Mihails Milehins, Dan B. Marghitu
We study mathematical models of binary direct collinear collisions of convex viscoplastic bodies based on two incremental collision laws that employ the Bouc-Wen differential model…