The Galerkin element method applied to the vibration of damped sandwich beams

✍ Scribed by M.G. Sainsbury; Q.J. Zhang

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 240 KB
• Volume: 71
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(98)00242-9

✦ Synopsis

The Galerkin or Rayleigh±Ritz method is frequently used in engineering to estimate the static and dynamic behavior of simple structures with quite good accuracy and convergence. In this paper, a new ®nite element for damped sandwich beam structures is presented, which combines the polynomial shape functions of conventional ®nite element analysis with Galerkin orthogonal functions. Displacement consistency over the interfaces between the damping layer and the elastic layers is taken into consideration to ensure a conforming element and guarantee good accuracy. Orthogonal beam functions are selected for fast convergence, especially for the prediction of higher order vibration modes using very few elements.