Stability of Systems of Rigid Bodies by Bounding Theorems

by Thomas E. Boothby, Univ of Nebraska, Lincoln, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

The stability of systems of systems of rigid bodies subjected to conservative and dissipative forces is investigated by considering the minimization of a work function subject to the kinematic constraints on the system. Upper and lower bounds on the loads causing instability of the system are established using extensions of the theorems of plasticity.

Subject Headings: Rigid body dynamics | Plasticity | Load factors | Kinematics | Dynamic loads | Computing in civil engineering

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