Free vibration of a SDOF system with hysteretic damping
type: Item
instance of: scholarly article
title: Free vibration of a SDOF system with hysteretic damping
zbMATH Open document ID: 0835.70014
DOI: 10.1016/0093-6413(94)90023-X
author: Yanyan Li
published in: Mechanics Research Communications
publication date: 1996-04-16T00:00:00Z
review text: The authors propose a solution method for the equation \(m\ddot u+ h|u|\dot u/|\dot u|+ ku= P(t)\), where \(m\), \(h\), \(k\) are positive constants. A closed form solution is given for free vibrations (i.e. \(P=0\)). As examples, diagrams are given for: 1) displacement history for disturbance of initial displacement only and initial velocity only; 2) velocity history for disturbance of initial displacement only and initial velocity only; 3) phase plane for disturbance of initial displacement only and initial velocity only.
Mathematics Subject Classification ID: 70J99
zbMATH DE Number: 754962
zbMATH Keywords: closed form solution
zbMATH Keywords: displacement history
zbMATH Keywords: velocity history
zbMATH Keywords: phase plane
reviewed by: Á. P. Bosznay
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90023-x
OpenAlex ID: W2070310409
description: scientific article; zbMATH DE number 754962