FREE VIBRATION ANALYSIS OF NANO-TUBES CONSISTED OF FUNCTIONALLY GRADED BI-SEMI-TUBES BY A TWO-STEPS PERTURBATION METHOD

WANSHEN XIAO; YANG GAO; HAIPING ZHU

FREE VIBRATION ANALYSIS OF NANO-TUBES CONSISTED OF FUNCTIONALLY GRADED BI-SEMI-TUBES BY A TWO-STEPS PERTURBATION METHOD

Authors

WANSHEN XIAO COLLEGE OF MECHANICAL AND VEHICLE ENGINEERING, HUNAN UNIVERSITY, CHANGSHA 410082, CHINA HTTPS://ORCID.ORG/0000-0002-0689-7299
YANG GAO COLLEGE OF MECHANICAL AND VEHICLE ENGINEERING, HUNAN UNIVERSITY, CHANGSHA 410082, CHINA HTTPS://ORCID.ORG/0000-0002-7734-1626
HAIPING ZHU SCHOOL OF COMPUTING, ENGINEERING AND MATHEMATICS, UNIVERSITY OF WESTERN SYDNEY, LOCKED, BAG 1797, PENRITH, NSW 2751, AUSTRALIA HTTPS://ORCID.ORG/0000-0003-4675-7255

Abstract

FREE VIBRATION OF BIMATERIAL&AMP;NBSP;CIRCULAR NANO-TUBE&AMP;NBSP;IS INVESTIGATED.&AMP;NBSP;THE TUBE IS FORMED BY BONDING TOGETHER A SI₃N₄/SUS304 FUNCTIONALLY GRADED UPPER SEMI TUBE AND A ZRO₂/TI-6AL-4V FUNCTIONALLY GRADED LOWER SEMI TUBE. THE MATERIAL PROPERTIES OF THE TUBE ARE ASSUMED TO VARY ALONG THE RADIUS ACCORDING TO POWER LAW WITH THE POWER INDEX OF UPPER SEMI TUBE DIFFERING FROM THAT OF LOWER SEMI TUBE. BASED ON NON-LOCAL ELASTICITY THEORY AND HAMILTON’S PRINCIPLE, A REFINED BEAM MODEL TAKING&AMP;NBSP;INTO ACCOUNT THE EFFECT OF TRANSVERSE SHEAR DEFORMATION IS USED TO DERIVE THE GOVERNING EQUATIONS,&AMP;NBSP;THEN ANALYTICAL SOLUTION IS OBTAINED BY USING A TWO-STEPS PERTURBATION METHOD. COMPARISON OF EXISTING RESULTS WITH OURS IS PERFORMED TO VALIDATE THE PRESENT ANALYSIS.&AMP;NBSP;THE EFFECTS&AMP;NBSP;ON TUBE’S LINEAR AND NON-LINEAR FREQUENCY ARE ANALYZED OF THE FACTORS, INCLUDING SMALL SCALE PARAMETER, TEMPERATURE, THE DOUBLE VOLUME FRACTION INDEXES, SLENDERNESS RATIO AND DIFFERENT TYPES OF BEAM MODEL. A NEW APPROACH IS FOUND IN THIS ARTICLE&AMP;NBSP;TO CHANGE THE NATURAL FREQUENCY OF THE TUBES BY ADJUSTING CONSTITUENT&AMP;NBSP;MATERIALS. IN CONTRAST TO CONVENTIONAL APPROACH, THE PRESENT ONE CAN RESULT IN MORE ACCURATE FREQUENCY CONTROL IN THE SAME&AMP;NBSP;DIMENSIONLESS SIZE OF TUBES.

Downloads

Published

2018-11-07

Issue

Vol. 16 No. 1 (2019)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).