Consistent diagonal mass matrices for the isoparametric 4-node quadrilateral and 8-node hexahedron elements

✍ Scribed by Sauer, Gerhard

• Publisher: John Wiley and Sons
• Year: 1993
• Tongue: English
• Weight: 515 KB
• Volume: 9
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/cnm.1640090108

✦ Synopsis

Diagonal mass matrices offer computational advantages in many applications. Their general use is confronted, however, with the fact that usual finite-element formulations generate consistent mass matrices. Some methods have been suggested to diagonalize these consistent matrices. These methods are largely founded on an intuitive basis. They abandon the classical way of calculating finite-element matrices. In an attempt to overcome this deficiency, a procedure is presented which enables direct calculation of consistent diagonal mass matrices for the isoparametric 4-node quadrilateral and 8-node hexahedron. This procedure is based on an expansion of the interpolation functions and the selection of an appropriate integration order. It is shown that the consistent diagonal mass and the associated stiffness matrices represent the dynamic structural properties with good accuracy