Vibration of a liquid-filled capillary tube. (June 2020)

• Record Type: Journal Article
• Authors: Liu, Shaobao; Wu, Yufei; Yang, Fan; Li, Moxiao; Kou, Xing; Lei, Changsheng; Xu, Feng; Lu, Tian Jian
• Is Part Of: Journal of the mechanical behavior of biomedical materials. Volume 106(2020)
• Publication Date: 2020-06
• Subjects: Interfacial tension -- Beam-string structure -- Natural frequency -- Mode transformation -- Size effect; Biomedical materials -- Periodicals; Biomedical materials -- Mechanical properties -- Periodicals; Biomedical materials; Biomedical materials -- Mechanical properties; Periodicals; Electronic journals; 610.28
• DOI: 10.1016/j.jmbbm.2020.103745
• Languages: English
• ISSNs: 1751-6161

Abstract

Abstract: Liquid-filled capillary tubes are common structures in nature and engineering fields, which often function via vibration. Although liquid-solid interfacial tension plays important roles in the vibration behavior of the liquid-filled capillary tube, it remains elusive how the interfacial tension influences the natural frequency of capillary tube vibration. To address this, we developed a theory of beam-string structure to analyze the influence of liquid-solid interfacial tension on the vibration of a liquid-filled capillary cantilever. We used glass capillary tubes as a demo and experimentally validated the theory, where the reduced liquid-solid interfacial tension in a capillary tube decreases the natural frequencies of small-order modes. We then performed theoretical analysis and found that the change of elastocapillarity number, slenderness ratio and inner/outer radius ratio of capillary tubes enables: in higher order modes, a nonmonotonic change of natural frequency due to mode transformation between a beam and string; for lower order modes, decrease in the natural frequency to zero (increase from zero) due to mode disappearance (appearance). The developed theory would provide guidelines for high-accuracy design of capillary sensors.