Application of Rayleigh-Ritz method on the finite element model of a structure as a means of co-ordinate reduction

✍ Scribed by R.B. Bhat

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 100 KB
• Volume: 108
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(86)80067-0

✦ Synopsis

Finite element methods are used extensively to study the behaviour of complex structures [1,2]. When several finite elements must be considered to model a structure due to spatial variations in its properties, the number of nodal co-ordinates becomes very large and the eigenvalue problem becomes very time consuming. Several methods exist for reducing the number of co-ordinates, such as Guyan reduction [3] and modal reduction [4]. The purpose of this note is to describe a co-ordinate reduction method based on the Rayleigh-Ritz procedure with assumed modes.