Question: A simple lumped-parameter model of a building, shown as the inverted link in Figure 6.68, can be used for preliminary study of earthquake dynamics. Derive

A simple lumped-parameter model of a building, shown as the inverted link in Figure 6.68, can be used for preliminary study of earthquake dynamics. Derive the equations of motion for this two degreeof-freedom system using

(a) Newton's second law, and

(b) Lagrange's equation. Let $y(t)$ be the prescribed ground motion, and $x(t)$ be the absolute position of the mass $m$.

c/2 00000 m k/2 M. IG K c/2 C 00000 k/2 Figure

c/2 00000 m k/2 M. IG K c/2 C 00000 k/2 Figure 6.68: An earthquake loading model showing a simple model of building (the inverted beam) under base excitation.

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This problem requires deriving the equations of motion for a simple twodegreeoffreedom system modeling a building subjected to earthquake dynamics The system consists of a mass m connected to the grou... View full answer

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