✦ LIBER ✦

Vibration of Triangular Plates: Point Supports, Mixed Edges and Partial Internal Curved Supports

✍ Scribed by K.M. Liew; C.M. Wang

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 297 KB
Volume: 172
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1994.1193

No coin nor oath required. For personal study only.

✦ Synopsis

A numerical method, which is a hybrid form of the Rayleigh-Ritz method and the Lagrangian multiplier method, is presented in this paper for the vibration analysis of general triangular plates with complicated supported conditions. These support conditions include internal clamped or simple point supports, mixed periphery boundary conditions and partial internal curved supports. Several plate examples are used to illustrate the method. Apart from the limiting cases of some of these triangular plates with point supports where existing results are available for comparison, the frequency parameters presented in this paper are new. They should be valuable to designers in some industrial applications.

📜 SIMILAR VOLUMES

On the Use of pb-2 Rayleigh-Ritz Method

On the Use of pb-2 Rayleigh-Ritz Method for Free Flexural Vibration of Triangular Plates With Curved Internal Supports

✍ K.M. Liew 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 338 KB

This paper presents a set of comprehensive and accurate results for the free-flexural vibration of triangular plates of arbitrary boundary conditions with/without curved internal supports. These results are presented for ten distinct cases involving the combinations of free, simply supported or clam

On The Free Flexural Vibration Of Rectan

On The Free Flexural Vibration Of Rectangular Plates With Straight Or Curved Internal Line Supports

✍ P.G. Young; S.M. Dickinson 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 439 KB

The Rayleigh-Ritz method is used, with simple polynomials as admissible functions, to obtain the eigenvalue equation for the free vibration of a rectangular plate which has an internal line support lying along a line describable in terms of a general polynomial. Numerical and graphical results are p

Comments On "On The Use Of pb-2 Rayleigh

Comments On "On The Use Of pb-2 Rayleigh-Ritz Method For Free Flexural Vibration Of Triangular Plates With Curved Internal Supports"

✍ P.A.A. Laura; V.H. Cortı́nez 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 35 KB

FREE VIBRATION OF PARTIALLY CLAMPED RECT

FREE VIBRATION OF PARTIALLY CLAMPED RECTANGULAR PLATES WITH AND WITHOUT RIGID POINT SUPPORTS

✍ R.K. Singhal; D.J. Gorman 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 222 KB

An analytical procedure based on the method of superposition is described for obtaining the free vibration frequencies and mode shapes of partially clamped cantilevered rectangular plates with and without rigid point supports. The supports are of the type provided by bolts with stand-offs. Good agre

VIBRATION AND STABILITY OF ROTATING PLAT

VIBRATION AND STABILITY OF ROTATING PLATES WITH ELASTIC EDGE SUPPORTS

✍ R. Maretic 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 135 KB

Vibration of annular sector mindlin plat

Vibration of annular sector mindlin plates with internal radial line and circumferential arc supports

✍ K.M. Liew; S. Kitipornchai; Y. Xiang 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 484 KB

An energy approach is presented for the free vibration analysis of thick annular sector plates with internal line/arc supports. This has been a topic of practical interest, but there appears to have been no previous work reported. Based on the stationary energy principle and the recently proposed pb