Vibration analysis of piecewise and continuously axially graded rods and beams
| dc.authorscopusid | 8078531800 | |
| dc.authorscopusid | 36903198700 | |
| dc.contributor.author | Aydogdu M. | |
| dc.contributor.author | Filiz S. | |
| dc.date.accessioned | 2024-06-12T10:29:31Z | |
| dc.date.available | 2024-06-12T10:29:31Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | In this chapter, vibration of piecewise and continuously axially graded rods and beams is investigated. The equations of motion and boundary conditions are obtained using Newton's method and Hamilton's Principle. Initially a general formulation is given for the axially piecewise graded rods and beams. Then rods and beams with two constituents are studied. For the piecewise case governing equations are solved using classical separation of variable method. Legendre method is used for possible continuously grading cases. Since it is not possible to obtain closed form solution for all axially grading forms Ritz method is proposed for arbitrary variation of material properties in the axial direction. Results are obtained for different material composition, geometrical properties and different boundary conditions. Comparisons are made with previous uniform rods and beam results. Tables and graphs are used in order to represent parametrical results. Some specific mode shapes are also given to understand vibration behavior of axially graded rods and beams. It is obtained that the piecewise functionally graded rods and beams may give higher frequencies than their constituents. The piecewise axially grading is studied first time in the literature and the results of present study especially piecewise grading case may open a new research field for researchers studying the subject of vibration. © 2010 Nova Science Publishers, Inc. All rights reserved. | en_US |
| dc.identifier.endpage | 145 | en_US |
| dc.identifier.isbn | 9.78162E+12 | |
| dc.identifier.scopus | 2-s2.0-84892945507 | en_US |
| dc.identifier.scopusquality | N/A | en_US |
| dc.identifier.startpage | 95 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/17791 | |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Nova Science Publishers, Inc. | en_US |
| dc.relation.ispartof | Mechanical Vibrations: Types, Testing and Analysis | en_US |
| dc.relation.publicationcategory | Kitap Bölümü - Uluslararası | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | [Abstarct Not Available] | en_US |
| dc.title | Vibration analysis of piecewise and continuously axially graded rods and beams | en_US |
| dc.type | Book Chapter | en_US |
