Journals / Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi / 2008 / Cilt: 21 Sayı: 2
Static Analysis Of Viscoelastic Beams Through Finite Element Method
- Pages
- 85–100
- DOI
- —
Abstract
This study focuses on straight beams by taking viscoelastic behavior of material. Time-dependent behavior of the material is stated with the help of Prony series. A constant poisson ratio has been used. Constitution equations for beam are combined in one function with Hamilton Principle, and Laplace transformation is used to free it from time parameter. Finite element formulation is formed with linear shape functions. While integral operation of equations with a shear effect is executed with reduced integration method, integral operations of others are executed with full integration method. Following these analyses, results are obtained by using everse Laplace Transformation method developed by Honig and Hirdes.
Özet
This study focuses on straight beams by taking viscoelastic behavior of material. Time-dependent behavior of the material is stated with the help of Prony series. A constant poisson ratio has been used. Constitution equations for beam are combined in one function with Hamilton Principle, and Laplace transformation is used to free it from time parameter. Finite element formulation is formed with linear shape functions. While integral operation of equations with a shear effect is executed with reduced integration method, integral operations of others are executed with full integration method. Following these analyses, results are obtained by using everse Laplace Transformation method developed by Honig and Hirdes.