Main Article Content
THIS PAPER PRESENTS SOME RECENT ADVANCES ON THE NUMERICAL SOLUTION OF THE CLASSICAL GERMAIN-LAGRANGE EQUATION FOR PLATE BENDING OF THIN ELASTIC PLATES. A MESHLESS STRATEGY USING THE GENERALIZED FINITE DIFFERENCE METHOD (GFDM) IS PROPOSED UPON SUBSTITUTION OF THE ORIGINAL FOURTH-ORDER DIFFERENTIAL EQUATION BY A SYSTEM COMPOSED OF TWO SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS. MIXED BOUNDARY CONDITIONS, VARIABLE NODAL DENSITY AND CURVED CONTOURS ARE SOME OF THE EXPLORED ASPECTS. SIMULATIONS USING VERY DENSE CLOUDS AND PARALLEL PROCESSING SCHEME FOR EFFICIENT NEIGHBOR SELECTION ARE ALSO PRESENTED. NUMERICAL EXPERIMENTS ARE PERFORMED FOR ARBITRARY PLATES AND COMPARED WITH ANALYTICAL AND FINITE ELEMENT METHOD SOLUTIONS. FINALLY, AN OVERVIEW OF THE PROCEDURE IS PRESENTED, INCLUDING A DISCUSSION OF SOME FUTURE DEVELOPMENT.
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).