The Use of a Pendulum Dynamic Mass Absorber to Protect a Trilithic Symmetric System from the Overturning

<div>Overturning spectrum: (a) overturning spectrum for one-sine excitation (solid line: trilith with pendulum; dashed line: trilith without pendulum); (b) percentage gain <span class="nowrap"><svg height="8.68572pt" id="M85" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 8.46388 8.68572" width="8.46388pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g></svg>;</span> <span class="nowrap"><svg height="12.7178pt" id="M86" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 172.234 12.7178" width="172.234pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g 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Mathematical Problems in Engineering

fig5

Figure 5

Figure 5: The Use of a Pendulum Dynamic Mass Absorber to Protect a Trilithic Symmetric System from the Overturning 