𝔖 Bobbio Scriptorium
✦   LIBER   ✦

VIBRATION OF RECTANGULAR PLATES USING PLATE CHARACTERISTIC FUNCTIONS AS SHAPE FUNCTIONS IN THE RAYLEIGH–RITZ METHOD

✍ Scribed by C. Rajalingham; R.B. Bhat; G.D. Xistris

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
411 KB
Volume
193
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis

The plate characteristic functions are used to express the deflection shapes in the Rayleigh-Ritz method to study rectangular plate vibrations. Since the plate characteristic functions are reasonable approximations to the vibration modes, they are found to improve the convergence of vibration frequencies. These plate frequencies are used to check the accuracy of the Rayleigh frequencies associated with the plate characteristic function modes. Computations are carried out for each of the four mode categories of a clamped square plate. In each mode category, the first 30 natural frequencies are tabulated and the first nine mode diagrams are drawn. The results show that the choice of specific shape functions enhances the effectiveness of the Rayleigh-Ritz method.

📜 SIMILAR VOLUMES

VIBRATION ANALYSIS OF RECTANGULAR ISOTRO
VIBRATION ANALYSIS OF RECTANGULAR ISOTROPIC THICK PLATES USING MINDLIN PLATE CHARACTERISTIC FUNCTIONS
✍ J.M. Lee; K.C. Kim 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 461 KB

An iterative Kantorovich method is presented for the vibration analysis of rectangular isotropic thick plates. Mindlin plate characteristic functions are derived in general forms by the Kantorovich method initially starting with Timoshenko beam functions consistent with the boundaryconditionsofthepl

The Free Vibrations of Tapered Rectangul
The Free Vibrations of Tapered Rectangular Plates Using a New Set of Beam Functions with the Rayleigh–Ritz Method
✍ K.Y Cheung; D Zhou 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 365 KB

In this paper, the free vibrations of a wide range of non-uniform rectangular plates in one or two directions are considered. The domain of the plate is bounded by x = a 1 a, a and y = b 1 b, b in rectangular co-ordinates. The thickness of the plate is continuously varying and proportional to the po

NATURAL FREQUENCIES OF RECTANGULAR PLATE
NATURAL FREQUENCIES OF RECTANGULAR PLATES USING A SET OF STATIC BEAM FUNCTIONS IN RAYLEIGH-RITZ METHOD
✍ Zhou Ding 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 302 KB

A fast converging series consisting of a set of static beam functions, which is a combination of sine series and polynomials, is developed and these functions are used as the basis functions in the Rayleigh-Ritz method to study the vibrational characteristics of thin, isotropic rectangular plates. I