Study of internal friction of wire rope in terms of differential geometry

2016 Fiscal Year Final Research Report

• Project/Area Number: 26420081
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Design engineering/Machine functional elements/Tribology
• Research Institution: Oita University
• Principal Investigator: IMADO Keiji 大分大学, 工学部, 教授 (80160050)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: ワイヤロ－プ / 微分幾何 / 内部摩擦

Outline of Final Research Achievements

An amplitude of damped torsional vibration due to an internal friction of a wire rope decreases from an arithmetic series like damping to an exponential damping according to the magnitude of an amplitude. Torsion spring constant and frictional torque are proportional to the tension of wire rope.
Simple approximate expression for a cross sectional profile of wire was derived by modifying an elliptical approximate method. The approximate expression used a simple base function so as to deform it like an exact cross section by using four constants. The cross sections obtained in this modified ellipse method corresponded well to the exact cross sections. A contact helix equation was also derived. Some basic properties of the contact helix were examined by using the contact helix equation obtained.

Free Research Field

機械工学、トライボロジ－、設計工学、福祉工学