APPLICATION OF NONLOCAL ELASTICITY AND DQM TO DYNAMIC ANALYSIS OF CURVED NANOBEAMS

Authors

  • HASSAN KANANIPOUR DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF SCIENCE AND CULTURE, TEHRAN, IRAN. P.O. BOX: 13145-871
  • MEHDI AHMADI DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING, COLLEGE OF ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, FARS 7134851156, IRAN.
  • HOSSEIN CHAVOSHI DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF SCIENCE AND CULTURE, TEHRAN, IRAN. P.O. BOX: 13145-871

Keywords:

DQM, CURVED NANOBEAM, MOVING PARTICLE LOAD

Abstract

IN THIS PAPER, A NEW NUMERICAL TECHNIQUE, THE DIFFERENTIAL QUADRATURE METHOD (DQM) HAS BEEN DEVELOPED FOR DYNAMIC ANALYSIS OF THE NANOBEAMS IN THE POLAR COORDINATE SYSTEM. DQ APPROXIMATION OF THE REQUIRED PARTIAL DERIVATIVES IS GIVEN BY A WEIGHTED LINEAR SUM OF THE FUNCTION VALUES AT ALL GRID POINTS. A SEMICIRCULAR ARCH WITH SMALL-SCALE EFFECTS IS INVESTIGATED BY THE NONLOCAL CONTINUUM THEORY WITH SIMPLY SUPPORTED BOUNDARY CONDITIONS. THE GOVERNING EQUATIONS FOR EULER-BERNOULLI NONLOCAL BEAM MODELS ARE DERIVED. THE EXPRESSIONS OF THE BENDING DISPLACEMENT ARE PRESENTED ANALYTICALLY. THE CONVERGENCE PROPERTIES AND THE ACCURACY OF THE DQM FOR BENDING OF CURVED NANOBEAMS ARE INVESTIGATED THROUGH A NUMBER OF NUMERICAL COMPUTATIONS. IT CAN BE OBSERVED THAT USE OF DQM, WHICH IS INDEPENDENT OF DOMAIN DISCRETIZATION TO BE EFFICIENT.

Author Biographies

HASSAN KANANIPOUR, DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF SCIENCE AND CULTURE, TEHRAN, IRAN. P.O. BOX: 13145-871

MASTER OF SCIENCE

MEHDI AHMADI, DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING, COLLEGE OF ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, FARS 7134851156, IRAN.

PH.D CANDIDATE

HOSSEIN CHAVOSHI, DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF SCIENCE AND CULTURE, TEHRAN, IRAN. P.O. BOX: 13145-871

MASTER OF SCIENCE

Downloads

Published

2013-12-27

Issue

Vol. 11 No. 5 (2014)

Section

Articles

License

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

 

  1. 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.
  2. 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.
  3. 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).