NONDESTRUCTIVE ULTRASONIC TESTING IN ROD STRUCTURE WITH A NOVEL NUMERICAL LAPLACE BASED WAVELET FINITE ELEMENT METHOD
ROD STRUCTURE HAS BEEN WIDELY USED IN AEROSPACE ENGINEERING AND CIVIL ENGINEERING. NONDESTRUCTIVE TESTING IS A VERY IMPORTANT METHOD APPLIED TO DETECT UNSEEN FLAWS IN STRUCTURES, ULTRASONIC WAVE NONDESTRUCTIVE TESTING HAS BEEN USED IN MANY AREAS. FINITE ELEMENT METHOD IS ONE OF THE MOST WIDELY USED NUMERICAL METHODS BUT WOULD HAVE A HIGH COST WHEN DOING SIMULATION ON ULTRASONIC WAVE DUE TO THE REQUIREMENT OF SMALL TIME INTERVAL AND ELEMENT SIZE. WAVELET BASED FINITE ELEMENT METHOD COULD IMPROVE THE SPATIAL RESOLUTION WITH FEWER ELEMENTS NEEDED BUT STILL NEEDS VERY SMALL TIME INTERVAL. LAPLACE TRANSFORM COULD EASILY CONVERT THE TIME DOMAIN INTO FREQUENCY AND THEN INVERSE TO TIME DOMAIN. THIS PAPER PRESENTS AN INNOVATIVE METHOD COMBINING LAPLACE TRANSFORM AND B-SPLINE WAVELET ON INTERVAL (BSWI) FINITE ELEMENT METHOD, WHICH COULD NOT ONLY DECREASE THE ELEMENT NUMBER BUT ALSO INCREASE THE TIME INTEGRATION INTERVAL. DYNAMIC REDUCTION TECHNIQUE IS ALSO USED TO ELIMINATE THE INTERIOR DOFS OF BSWI ELEMENT. MOREOVER, THIS INNOVATIVE METHOD IS APPLIED TO SIMULATE THE ULTRASONIC WAVE PROPAGATION IN 1D ROD STRUCTURE AS WELL AS USED FOR NONDESTRUCTIVE TESTING OF DAMAGES IN ROD STRUCTURES.
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 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).