Corrections to "On the Quantitative Potential of Viscoelastic Response (VisR) Ultrasound Using the One-Dimensional Mass-Spring-Damper Model".

Corrections to "On the Quantitative Potential of Viscoelastic Response (VisR) Ultrasound Using the One-Dimensional Mass-Spring-Damper Model".
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对“使用一维质量-弹簧-阻尼器模型的粘弹性响应 (VisR) 超声波的定量潜力”的更正。

DOI:
10.1109/tuffc.2018.2883811
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发表时间:
2019
期刊:
IEEE transactions on ultrasonics, ferroelectrics, and frequency control
影响因子:
--
通讯作者:
Gallippi,CaterinaM
Gallippi,CaterinaM
中科院分区:
--
文献类型:
--
作者:
Selzo,MalloryR;Moore,ChristopherJ;Hossain,MdMurad;Palmeri,MarkL;Gallippi,CaterinaM

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在本文的原始出版物中,方程包含第三和第四赫维赛函数幅度的符号误差。修正后的方程如下:\begin{align*}&\hspace {-1.8pc}\frac {d^{2}}{dt^{2}}u( t )+\omega ^{2}\tau \frac {d}{dt}u( t )+\omega ^{2}u( t ) \\=&S\omega ^{2}( H( t )-H( t-t_{\mathrm {ARF}} ) \\&\quad \qquad +\,H( t-{t_{\mathrm {ARF}}-t}_{s} )-H( t-{2t}_{\mathrm {ARF}}-t_{s} ) ).\tag{3}\end{align*}
In the original publication of this paper , equation contained sign errors for the amplitude of the third and fourth Heaviside functions. The corrected equation is shown in the following:\begin{align*}&\hspace {-1.8pc}\frac {d^{2}}{dt^{2}}u( t )+\omega ^{2}\tau \frac {d}{dt}u( t )+\omega ^{2}u( t ) \\=&S\omega ^{2}( H( t )-H( t-t_{\mathrm {ARF}} ) \\&\quad \qquad +\,H( t-{t_{\mathrm {ARF}}-t}_{s} )-H( t-{2t}_{\mathrm {ARF}}-t_{s} ) ).\tag{3}\end{align*}