Amirkabir University of Technology Amirkabir Journal of Mechanical Engineering 2008-6032 52 12 2019 08 13 Free and Forced Vibration Analysis of Piezoelectric Patches Based on Semi-Analytic Method of Scaled Boundary Finite Element Method Free and Forced Vibration Analysis of Piezoelectric Patches Based on Semi-Analytic Method of Scaled Boundary Finite Element Method 3463 3484 3547 10.22060/mej.2019.16027.6255 FA Naserodin Sepehry صنعتی شاهرود-مهندسی مکانیک Mohammad Ehsani New Technologies Research Center (NTRC), Amirkabir University of Technology Mahnaz Shamshirsaz New Technologies Research Center (NTRC), Amirkabir University of Technology 0000-0002-4400-4930 Journal Article 2019 03 17 Development of a precise mathematical model of piezoelectric patches plays an important role in comprehending their operational mechanisms as well as developing new techniques based on their coupled electro-mechanical behavior. While, high computational cost of available numerical methods which are able to simulate vibrational behavior of piezoelectric patches, especially at high frequencies, is considered as a serious challenge in this area. The purpose of this study is to use a novel semi[1]analytical method, called Scaled Boundary Finite Element Method, to analyze free and forced vibration of piezoelectric patches. In order to evaluate the accuracy of this method in modeling of different problems occurred in structural health monitoring and fracture mechanics, the free and forced vibration of a piezoelectric patch, a piezoelectric patch attached to an aluminum structure, a piezoelectric patch with a circular hole and a cracked piezoelectric patch was analyzed as four case studies. Comparison of convergence rate of scaled boundary finite element method and finite element method indicates that the former provides exact results with much less degrees of freedom. In addition, proper matching of results demonstrates the capability of scaled boundary finite element method to model a variety of problems accurately at a very low computational cost. Development of a precise mathematical model of piezoelectric patches plays an important role in comprehending their operational mechanisms as well as developing new techniques based on their coupled electro-mechanical behavior. While, high computational cost of available numerical methods which are able to simulate vibrational behavior of piezoelectric patches, especially at high frequencies, is considered as a serious challenge in this area. The purpose of this study is to use a novel semi[1]analytical method, called Scaled Boundary Finite Element Method, to analyze free and forced vibration of piezoelectric patches. In order to evaluate the accuracy of this method in modeling of different problems occurred in structural health monitoring and fracture mechanics, the free and forced vibration of a piezoelectric patch, a piezoelectric patch attached to an aluminum structure, a piezoelectric patch with a circular hole and a cracked piezoelectric patch was analyzed as four case studies. Comparison of convergence rate of scaled boundary finite element method and finite element method indicates that the former provides exact results with much less degrees of freedom. In addition, proper matching of results demonstrates the capability of scaled boundary finite element method to model a variety of problems accurately at a very low computational cost. https://mej.aut.ac.ir/article_3547_e6ba70fc093b4ce912d769ede1ceeba8.pdf