ANGUILLIFORM BODY DYNAMICS - A CONTINUUM MODEL FOR THE INTERACTION BETWEEN MUSCLE ACTIVATION AND BODY CURVATURE

ANGUILLIFORM BODY DYNAMICS - A CONTINUUM MODEL FOR THE INTERACTION BETWEEN MUSCLE ACTIVATION AND BODY CURVATURE
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DOI:
10.1007/bf00163025
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发表时间:
1994-01-01
影响因子:
1.9
通讯作者:
WILLIAMS, TL
WILLIAMS, TL
中科院分区:
数学4区
文献类型:
--
作者:
BOWTELL, G;WILLIAMS, TL

文献摘要

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从一个简单的离散杆件和枢轴结构出发,建立了鳗鱼体力学的二维连续介质模型。离散结构中的每个元素由两个平滑连接的光杆组成,每个光杆在每个中点垂直延伸,中间固定着一个准肌肉段。肌肉部分被归因于所有动物组织的粘性和弹性特性以及产生力量的能力。在真实动物中,肌肉激活的行波是由每个节段对应的依赖时间的强迫项模拟的。研究了与低曲率动力学相对应的连续介质模型的线性化。所得到的轮廓与七鳃鳗在光滑表面上移出水面时的轮廓相比要好得多。此外,在身体上观察到的肌肉激活波和机械波之间的每个点的相位差异表明,机械波的进展慢于激活波,但频率与激活波相同;这一特性也在自由游泳的七鳃鳗身上观察到。
A two dimensional continuum model for the body mechanics of the lamprey is derived from a simple discrete rod and pivot structure. Each element in the discrete structure consists of two smoothly jointed light rods with perpendicular extensions at each of the midpoints between which is fixed a quasi muscle segment. The muscle segment is attributed with the viscous and elastic properties of all the animal tissue plus the ability to produce force. The travelling wave of muscle activation in the real animal is modelled by a corresponding time dependent forcing term at each segment. A linearisation of the ensuing continuum model, corresponding to low curvature dynamics, is investigated. The profiles obtained compare favourably with those of a lamprey moving out of water on a smooth surface. In addition the phase difference at each point on the body between the wave of muscle activation and the mechanical wave observed on the body indicates that the mechanical wave progresses slower than, but at the same frequency as, the wave of activation; this is a property that is also observed in the freely swimming lamprey.