Vibration analysis of a new type of compliant mechanism with flexible-link, using perturbation theory
type: Item
instance of: scholarly article
title: Vibration analysis of a new type of compliant mechanism with flexible-link, using perturbation theory
zbMATH Open document ID: 1264.70025
DOI: 10.1155/2012/857064
author: N. S. Viliani
author: Hassan Zohoor
author: M. H. Kargarnovin
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Vibration analysis of a new type of compliant parallel mechanism with flexible intermediate links is investigated. The application of the Timoshenko beam theory to the mathematical modeling of the intermediate flexible link is described, and the equations of motion of the flexible links are obtained by using Lagrange's equation of motion. The equations of motion are obtained in the form of a set of ordinary differential equations by using assumed mode method theory. The governing differential equations of motion are solved using perturbation method. The assumed mode shapes and frequencies are to be obtained based on clamped-clamped boundary conditions. Comparing perturbation method with Runge-Kutta-Fehlberg 4, 5th leads to highly accurate solutions, and the results are performed and discussed.
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 70J10
zbMATH DE Number: 6173642
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/857064
OpenAlex ID: W2016606203
Wikidata QID: Q58912266
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description: scientific article; zbMATH DE number 6173642