2022
DOI: 10.1016/j.ymssp.2021.108553
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Optimal design of tuned liquid column damper inerter for vibration control

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Cited by 39 publications
(15 citation statements)
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“…As it can be seen in Equations () and (), the function σXb2$\sigma _{{X}_b}^2$ depends on the mass ratios μl${\mu }_l$ and μt${\mu }_t$. Since generally μl<5%${\mu }_l &lt; 5\% $ and μt<1%${\mu }_t &lt; 1\% $, solutions of Equation () can be approximated by assuming that the third and higher powers of μl${\mu }_l$, μt${\mu }_t$ and their products can be neglected (Di Matteo et al., 2022).…”
Section: Optimization Proceduresmentioning
confidence: 99%
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“…As it can be seen in Equations () and (), the function σXb2$\sigma _{{X}_b}^2$ depends on the mass ratios μl${\mu }_l$ and μt${\mu }_t$. Since generally μl<5%${\mu }_l &lt; 5\% $ and μt<1%${\mu }_t &lt; 1\% $, solutions of Equation () can be approximated by assuming that the third and higher powers of μl${\mu }_l$, μt${\mu }_t$ and their products can be neglected (Di Matteo et al., 2022).…”
Section: Optimization Proceduresmentioning
confidence: 99%
“…Specifically, the evaluation of the optimal value of ζl${\zeta }_l$ is obtained according to the analysis developed by Di Matteo et al. (2022) considering the BI structure with a classical TLCD subjected to a white noise excitation. In this case, the BI system displacement and the fluid velocity variances can be expressed as (Di Matteo et al., 2018): σXb2badbreak=ϕXbπG040.16emωb3;σU̇2goodbreak=ϕtrueU̇πG040.16emωl;$$\begin{equation}\tilde{\sigma }_{{X}_b}^2 = {\tilde{\phi }}_{{X}_b}\frac{{\pi {G}_0}}{{4\,\omega _b^3}};{\rm{ }}\tilde{\sigma }_{\dot{U}}^2 = {\tilde{\phi }}_{_{\dot{U}}}\frac{{\pi {G}_0}}{{4\,{\omega }_l}};\end{equation}$$where ϕXb=NXb/DXb${\tilde{\phi }}_{{X}_b} = {\tilde{N}}_{{X}_b}/{\tilde{D}}_{{X}_b}$ and ϕU̇=NU̇/DU̇${\tilde{\phi }}_{\dot{U}} = {\tilde{N}}_{\dot{U}}/{\tilde{D}}_{\dot{U}}$ with the numerators and denominators given by trueNXb=ζl()1+μlα2μl2+νlζbα4μl2+4ζl2()1+μl…”
Section: Optimization Proceduresmentioning
confidence: 99%
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