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Explicit formulas for correcting finite-element predictions of natural frequencies

✍ Scribed by Xie, Y. M. ;Steven, G. P.

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 429 KB
Volume: 9
Category: Article
ISSN: 1069-8299
DOI: 10.1002/cnm.1640090806

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📜 SIMILAR VOLUMES

An asymptotic formula for correcting fin

An asymptotic formula for correcting finite element predicted natural frequencies of membrane vibration problems

✍ Zhao, Chongbin ;Steven, G. P. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 660 KB

In the paper an asymptotic formula has been developed to correct the discretization error for the finite element predicted natural frequencies of membrane transverse vibration problems. The general idea behind deriving this asymptotic formula is that, when the finite element size approaches zero, a

Note on finite element predictions of na

Note on finite element predictions of natural frequencies

✍ Wood, W. L. 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 121 KB 👁 1 views

## Abstract It is well known that the finite element discretization with a distributed mass matrix gives overstimates of the natural frequencies of a system. The note shows that these do not necessarily become progressively worse as the frequency increases.

A PRACTICAL ERROR ESTIMATOR FOR FINITE E

A PRACTICAL ERROR ESTIMATOR FOR FINITE ELEMENT PREDICTED NATURAL FREQUENCIES OF MEMBRANE VIBRATION PROBLEMS

✍ Chongbin Zhao; G.P. Stevens 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 302 KB

Based on the asymptotic solution for finite element predicted natural frequencies of a membrane vibration problem, the concept of asymptotic error and a practical error estimator are presented in this paper. The present practical error estimator contains two criteria: one is the error estimator crit

ASYMPTOTIC SOLUTIONS FOR PREDICTED NATUR

ASYMPTOTIC SOLUTIONS FOR PREDICTED NATURAL FREQUENCIES OF TWO-DIMENSIONAL ELASTIC SOLID VIBRATION PROBLEMS IN FINITE ELEMENT ANALYSIS

✍ C. ZHAO; G. P. STEVEN 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 792 KB

In order to assess the discretization error of a finite element solution, asymptotic solutions for predicted natural frequencies of two-dimensional elastic solid vibration problems in the finite element analysis are presented in this paper. Since the asymptotic solution is more accurate than the ori