engleski

Rocking of single and dual rigid-block systems subjected to free rocking and constant ground acceleration of finite duration: equations of motions and contact detection

In this work structures that consist of one or two rigid rectangular blocks (one on top of the other) which are not connected between themselves or to the ground, and undergo only rocking motion under dynamic excitation are investigated. Analytical description of the motion for different rocking patterns is presented, transition criteria and exact time of each impact are derived, and energy and momentum balance during rocking motion are addressed. The equations of motion are discretized using Newmark’s method and solved at each time step using the Newton-Raphson procedure. Modes of overturning and pattern during rocking motion due to a constant ground acceleration function are looked into.

rigid block ; dual block structure ; rocking motion ; constant ground acceleration ; restitution

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