STUDY ON MESHFREE HERMITE RADIAL POINT INTERPOLATION METHOD FOR FLEXURAL WAVE PROPAGATION MODELING AND DAMAGE QUANTIFICATION
Keywords:DAMAGE QUANTIFICATION, WAVE PROPAGATION, MESHFREE METHOD, RADIAL BASIS FUNCTION, HERMITE RADIAL POINT INTERPOLATION
AbstractTHIS PAPER STUDIES ON THE NUMERICAL MODELING OF THE FLEXURAL WAVE PROPAGATION IN EULER-BERNOULLI BEAMS USING THE HERMITE-TYPE RADIAL POINT INTERPOLATION METHOD (HRPIM) UNDER THE DAMAGE QUANTIFICATION APPROACH. HRPIM EMPLOYS RADIAL BASIS FUNCTIONS (RBFS) AND THEIR DERIVATIVES FOR SHAPE FUNCTION CONSTRUCTION AS A MESHFREE TECHNIQUE. THIS STUDY EVALUATES THE PERFORMANCE OF MULTIQUADRIC (MQ) RBF TO THE ASSESSMENT OF THE REFLECTION RATIO AND HRPIM SIGNALS COMPARED WITH THE THEORETICAL AND FINITE ELEMENT RESPONSES. THE RESULTS REPRESENT THAT MQ IS A SUITABLE RBF FOR HRPIM AND WAVE PROPAGATION; HOWEVER, THE RANGE OF THE PROPER SHAPE PARAMETERS IS IMPRESSIVE. FURTHERMORE, IT CAN BE FOUND THE NUMBER OF FIELD NODES IS THE MAIN PARAMETER FOR ACCURATE WAVE PROPAGATION MODELING USING HRPIM. THE SIZE OF SUPPORT DOMAIN SHOULD BE LESS THAN AN UPPER BOUND TO PREVENT HIGH ERROR. WITH REGARD TO THE NUMBER OF QUADRATURE POINTS, PROVIDING THE MINIMUM NUMBERS OF POINTS ARE ADEQUATE FOR THE STABLE SOLUTION BUT THE EXISTENCE OF MORE POINTS IN DAMAGE REGION DOES NOT LEADS TO NECESSARILY THE ACCURATE RESULTS. IT IS CONCLUDED THE PURE HRPIM WITHOUT ANY POLYNOMIAL TERMS IS ACCEPTABLE BUT CONSIDERING A FEW TERMS WILL IMPROVE THE ACCURACY EVEN THOUGH MORE TERMS MAKES THE PROBLEM UNSTABLE AND INACCURATE.
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).