✦ LIBER ✦

TRANSVERSE VIBRATION OF TRIANGULAR PLATE WITH ARBITRARY THICKNESS VARIATION AND VARIOUS BOUNDARY CONDITIONS

✍ Scribed by B. Singh; S.M. Hassan

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 331 KB
Volume: 214
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.1554

No coin nor oath required. For personal study only.

✦ Synopsis

The Rayleigh-Ritz method has been employed to obtain the numerical solution of the vibration problem of a triangular plate with arbitrary thickness variation and various boundary conditions at the three edges. The thickness has been approximated by a polynomial in natural co-ordinates which have been used everywhere as they greatly simplify the calculations. Successive approximations have been worked out until the first three frequencies and mode shapes converge to at least three significant figures. The results are tabulated for selected cases and are compared with known results for uniform and linear thickness variation. Three-dimensional mode shapes have been drawn using the tools for computer graphics.

📜 SIMILAR VOLUMES

TRANSVERSE VIBRATION OF A RECTANGULAR PL

TRANSVERSE VIBRATION OF A RECTANGULAR PLATE WITH BIDIRECTIONAL THICKNESS VARIATION

✍ B. Singh; V. Saxena 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 302 KB

The transverse vibrations of a rectangular plate of variable thickness have been investigated with different combinations of boundary conditions at the four edges. The thickness variation is bidirectional and is the cartesian product of linear variations along two concurrent edges of the plate. Succ

TRANSVERSE VIBRATIONS OF CIRCULAR, ANNUL

TRANSVERSE VIBRATIONS OF CIRCULAR, ANNULAR PLATES WITH SEVERAL COMBINATIONS OF BOUNDARY CONDITIONS

✍ S.A. Vera; M.D. Sánchez; P.A.A. Laura; D.A. Vega 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 149 KB

TRANSVERSE VIBRATIONS OF A THIN, ELASTIC

TRANSVERSE VIBRATIONS OF A THIN, ELASTIC CIRCULAR PLATE WITH MIXED BOUNDARY CONDITIONS

✍ R.E. ROSSI; P.A.A. LAURA 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 189 KB

Vibrations Of Rectangular Plates With Li

Vibrations Of Rectangular Plates With Linearly Varying Thickness And Non-uniform Boundary Conditions

✍ R.H. Gutiérrez; P.A.A. Laura 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 100 KB

TRANSVERSE VIBRATION OF A UNIFORM CIRCUL

TRANSVERSE VIBRATION OF A UNIFORM CIRCULAR THICK BEAM WITH NON-CLASSICAL BOUNDARY CONDITIONS

✍ S. Karunendiran; W.L. Cleghorn; J.W. Zu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 86 KB

A FREE VIBRATION ANALYSIS OF ANISOTROPIC

A FREE VIBRATION ANALYSIS OF ANISOTROPIC RECTANGULAR PLATES WITH VARIOUS BOUNDARY CONDITIONS

✍ C. Morita; H. Matsuda; T. Sakiyama; T. Hagino 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 464 KB

An approximate method in which discrete Green functions are used is described for analyzing the free vibration of anisotropic rectangular plates with various boundary conditions. The discrete Green functions are obtained by transforming the differential equations involving Dirac's delta functions in