A time-domain implementation for the analysis of thin plates via the Boundary Element Method. (July 2022)

• Record Type: Journal Article
• Authors: Esteves, Carlos L.C.S.; Daros, Carlos H.
• Is Part Of: Engineering analysis with boundary elements. Volume 140(2022)
• Page Start: 145
• Page End: 158
• Publication Date: 2022-07
• Subjects: Elastodynamics -- Kirchhoff plate -- Time-domain; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2022.03.024
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: This work presents a direct time-domain implementation for the analysis of isotropic Kirchhoff's plates using the Boundary Element Method. The Boundary Integral Equation (BIE) was derived via the Generalized Rayleigh–Green identity and a time-dependent fundamental solution was used to obtain several kernels necessary to evaluate the BIE. A time-history-dependent marching scheme was used to assess the plate's transient response. Different time and space discretizations were equally considered within the present work.