Transversal vibrations of beams with boundary damping in the context of animal vibrissae

Transversal vibrations of beams with boundary damping in the context of animal vibrissae
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动物触须背景下具有边界阻尼的梁的横向振动

DOI:
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发表时间:
2012
期刊:
影响因子:
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通讯作者:
C. Behn
C. Behn
中科院分区:
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文献类型:
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作者:
Michael Schaefer;T. Schmitz;C. Will;C. Behn

文献摘要

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小鼠和大鼠使用复杂的感觉系统来获取周围环境的触觉信息。位于神秘垫中的触须要么被动地用于感知环境力量(例如风),要么主动地用于有节奏地扫描物体或表面。生物范式触须的一些方法使用刚体系统,其中杆状触须由弹簧和阻尼元件的组合支撑,模拟毛囊窦复合体的粘弹性。然而,这些模型只能提供有关生物感觉系统功能的有限信息,因为它们忽略了其决定性特性:触觉毛发的固有弹性。为了提高所收集信息的准确性和适用性,本文将触须建模为弹性梁。经典微分方程(源自欧拉-伯努利方程)适用于使用离散和连续分布的弹簧和阻尼元件的具有不同支撑的触须梁模型。这种梁的特征频谱是通过分析和数值确定的,同时改变支撑的粘弹性特性。
Mice and rats use a sophisticated sensory system to acquire tactile information about their surroundings. Vibrissae, located in the mystacial pad, are either used passively to sense environmental forces (e.g., wind) or actively, when they rhythmically scan objects or surfaces. Some approaches to the biological paradigm vibrissa use rigid body systems in which a rod-like vibrissa is supported by a combination of spring and damping elements modeling the viscoelastic properties of the follicle-sinus-complex. However, these models can only offer limited information about the functionality of the biological sensory system, as they neglect its determining property: the inherent elasticity of the tactile hair. To increase the accuracy and the applicability of the gathered information, the vibrissa is modeled as an elastic beam in this paper. The classical differential equation (derived from the Euler-Bernoulli-equations) is applied to vibrissa beam models with varying supports using discrete and continuously distributed spring and damping elements. The eigenfrequency spectrum of such beams are being determined analytically and numerically, while varying the viscoelastic properties of the support.