轴向载荷对充液生物微管耦合振动的影响
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国家自然科学基金资助项目(11172165,10932007)


Effects of axial loading on the coupling vibration in bioliquid-filled microtubules
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    摘要:

    目的 描述轴向载荷、小尺度参数、微管内充液密度以及管周围生物组织的约束刚度对于充液生物微管耦合振动的影响,为在轴向载荷作用下的纳米微管组织的超声波检查和一些生物医药临床应用提供参考。方法 采用非局部弹性理论来描述生物微管的纳米尺度特性,给出轴向载荷下充液生物微管耦合振动频率的解析解。结果 作用于充液微管的轴向压力使得充液微管的耦合振动频率大幅下降,且当小尺度效应增加时,充液微管的耦合振动频率逐渐降低。轴向压力对充液微管的耦合振动频率的影响大于小尺度系数的影响。结论 当微管内充液的密度增加时,基体内充液微管的一阶振频降低,且当作用于充液微管上的轴向压载增加时,微管内充液密度对充液微管一阶振频的影响逐渐减小。

    Abstract:

    Objective To describe the effects of axial loading, small-scale parameter, bioliquid density in a microtubule (MT) and constrained stiffness of surrounding biomedium on the coupling vibration frequency in the bioliquid-filled MT, and to provide references for ultrasonic inspection on nano-MT under axial loading and the clinical application of biological medicine. Methods The non-local elastic theory was utilized to describe the nano-scale characteristics of the MT, and the analytic solutions to the coupling vibration frequency of the bioliquid-filled MT under axial loading were given. Results The axial loading exerted on the bioliquid-filled MT made the couple vibration frequency drop rapidly, and as the small-scale effect increased, the couple vibration frequency of the bioliquid-filled MT was gradually decreased. The effect of axial loading on the couple vibration frequency of the bioliquid-filled MT was larger than that of the small-scale parameter. Conclusions When the density of bioliquid in MT increases, the first order frequency of the bioliquid-filled MT embedded in biomedium is decreased; when the initial axial loading exerted on the bioliquid-filled MT increases, the effect of bioliquid density in MT on the first order frequency of bioliquid-filled MT is reduced gradually.

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熊静婷,王熙.轴向载荷对充液生物微管耦合振动的影响[J].医用生物力学,2013,28(1):10-14

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  • 收稿日期:2012-03-15
  • 最后修改日期:2012-04-27
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