粘性介质中弹性杆的恢复系数

IF 4.3 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration Pub Date : 2025-05-07 DOI:10.1016/j.jsv.2025.119151

Feifei Wang, Scott W. Hansen

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引用次数: 0

摘要

用阻尼波动方程来模拟弹性杆在粘性介质中的运动，该弹性杆在重力作用下以给定的初速度从固定基础反弹。导出了显式求解公式，并根据初始速度、阻尼系数和重力常数确定了与地基的接触时间。得到了碰撞持续时间内质心运动的显式表达式。从这个信息，得到了在接触时间结束时存在的内部振动能。提出并分析了基于能量的恢复系数的相应定义。

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Coefficient of restitution for an elastic rod in a viscous medium

A damped wave equation is used to model the motion of an elastic rod in a viscous medium that bounces off a fixed foundation with a given initial velocity under the influence of gravity. An explicit solution formula is derived and the time of contact with the foundation is determined in terms of the initial velocity, damping coefficient and gravitational constant. Explicit expressions are obtained for the motion of the center of mass for the duration of the impact. From this information, the internal vibrational energy present at the end of the contact time is obtained. A corresponding definition of an energy-based coefficient of restitution is proposed and analyzed.

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来源期刊

Journal of Sound and Vibration 工程技术-工程：机械

CiteScore

9.10

自引率

10.60%

发文量

551

审稿时长

69 days

期刊介绍： The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.