Boundary element analysis of viscoelastic structures involving fractional operators

Autor: Robert D. Ciskowski, Ke-jun Xie, Larry H. Royster
Rok vydání: 1989
Předmět:
Zdroj: The Journal of the Acoustical Society of America. 85:S131-S132
ISSN: 0001-4966
Popis: The boundary element method (BEM) is applied to solve viscoelastic structural problems. The viscoelastic characteristic of the structure is represented using the fractional integrodifferential operators. The fractional operator representation of viscoelasticity provides a means to more accurately describe the mechanical behavior of viscoelastic materials. In this paper, a direct BEM formulation for the transient dynamic analysis of three‐dimensional viscoelastic structures modeled by the fractional operator constitutive equations is presented. The BEM formulation is developed in the Laplace transformed domain. The transient problem is first solved in the Laplace transformed domain and the time domain solutions are obtained by using an FFT based numerical inversion procedure. Example problems are solved using this BEM formulation and the results are compared.
Databáze: OpenAIRE