DYNAMICAL STABILITY AND PARAMETRICAL VIBRATIONS OF THE LAMINATED PLATES WITH COMPLEX SHAPE

Authors

  • LIDIA KURPA
  • OLGA MAZUR
  • VICTORIA TKACHENKO

Keywords:

NONLINEAR VIBRATIONS, DYNAMIC STABILITY, LAMINATED PLATES, R-FUNCTIONS THEORY,

Abstract

<!-- /* STYLE DEFINITIONS */ P.MSONORMAL, LI.MSONORMAL, DIV.MSONORMAL {MSO-STYLE-NAME:"ÐбÑÑнÑй\,NORMAL PARAGRAPH"; MSO-STYLE-PARENT:""; MARGIN:0CM; MARGIN-BOTTOM:.0001PT; TEXT-ALIGN:JUSTIFY; TEXT-INDENT:17.0PT; LINE-HEIGHT:150%; MSO-PAGINATION:WIDOW-ORPHAN; TAB-STOPS:17.0PT 1.0CM; FONT-SIZE:9.0PT; FONT-FAMILY:"TIMES NEW ROMAN"; MSO-FAREAST-FONT-FAMILY:"TIMES NEW ROMAN"; MSO-ANSI-LANGUAGE:EN-US; MSO-FAREAST-LANGUAGE:PL;} @PAGE SECTION1 {SIZE:612.0PT 792.0PT; MARGIN:2.0CM 42.5PT 2.0CM 3.0CM; MSO-HEADER-MARGIN:36.0PT; MSO-FOOTER-MARGIN:36.0PT; MSO-PAPER-SOURCE:0;} DIV.SECTION1 {PAGE:SECTION1;} --> THE PROBLEM OF NONLINEAR VIBRATIONS AND STABILITY ANALYSIS FOR THE SYMMETRIC LAMINATED PLATES WITH COMPLEX SHAPE, LOADED BY STATIC OR PERIODIC LOAD IN-PLANE IS CONSIDERED. IN GENERAL CASE RESEARCH OF STABILITY AND PARAMETRIC VIBRATIONS IS CONNECTED WITH MANY MATHEMATICAL DIFFICULTIES. FOR THIS REASON WE PROPOSE APPROACH BASED ON APPLICATION OF R-FUNCTIONS THEORY AND VARIATIONAL METHODS (RFM).THE DEVELOPED METHOD TAKES INTO ACCOUNT PRE-BUCKLE STRESS STATE OF THE PLATE. THE PROPOSED APPROACH IS DEMONSTRATED ON TESTING PROBLEMS AND APPLIED TO LAMINATED PLATES WITH CUTOUTS. THE EFFECTS OF GEOMETRICAL PARAMETERS, LOAD, BOUNDARY CONDITIONS ON STABILITY REGIONS AND NONLINEAR VIBRATIONS ARE INVESTIGATED.

Downloads

Published

2012-11-22

Issue

Vol. 10 No. 1 (2013)

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).