NONDESTRUCTIVE ULTRASONIC TESTING IN ROD STRUCTURE WITH A NOVEL NUMERICAL LAPLACE BASED WAVELET FINITE ELEMENT METHOD

  • SHUAIFANG ZHANG Penn State University
  • WEI SHEN
  • DONGSHENG LI
  • XIWEN ZHANG
  • BAIYU CHEN
Keywords: ULTRASONIC WAVE TESTING, WAVELET TRANSFORM, NUMERICAL LAPLACE TRANSFORM, B-SPINE WAVELET ON INTERVAL, NONDESTRUCTIVE TESTING

Abstract

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.

Author Biography

SHUAIFANG ZHANG, Penn State University

Department of Mechanical Engineering ranks 15 in the earliest ranking of USNEWs

Published
2018-02-02
Section
Articles