Mathematical model of vibrissae for surface texture detection
Mathematical model of vibrissae for surface texture detection
复制标题
用于表面纹理检测的触须数学模型
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
C. Will
中科院分区：
文献类型：
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作者：
J. Steigenberger;C. Behn;C. Will
该平面弹性弯曲杆可作为生物和人工触须的模型。触须的任务之一是扫描表面，以检测其纹理。我们素描的静态弯曲杆问题的理论，鉴于这一领域的应用。相应的自治边值问题的解决方案给出了解析。对一些算例进行了数值模拟。注意到（1）在文献中，通过触摸的物体检测似乎是在理想接触（无静摩擦或摩擦）的假设下进行的，以及（2）我们现在省略这个假设是基于简化模型性质的事实，结论给出了一些相应的讨论和建议，以改进和未来必要的工作。
The plane elastic bending rod serves as a model of biological and artificial vibrissae. One task of vibrissae is to scan surfaces in order to detect their textures. We sketch the theory of static bending rod problems with a view to this field of applications. The solutions of the respective autonomous boundary value problems are given analytically. Numerical simulations are done in some worked out examples. Being aware of the fact that (1) in papers, object detecting by means of touch is seemingly exclusively investigated under the assumption of ideal contact (no stiction or friction), and (2) our present omission of this assumption is based upon simplifying model properties, the conclusions give some corresponding discussions and proposals for improvements and necessary work in future.