๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Partial Hybrid Plate Element Formulation for Free Vibrations of Laminated Plates

โœ Scribed by Y.-P. Tseng; L.-C. Chou

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
439 KB
Volume
164
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

โœฆ Synopsis

A partial hybrid plate element vibration analysis is established for orthotropic laminated plates. The inertia effect is considered by adding kinetic energy to the modified HellingerReissner principle. The dynamic governing equations of the plate are then derived variationally. As the through-thickness effect is properly accounted for by assuming only transverse shear stress fields, the natural frequencies are therefore accurately calculated. The validity of the present formulation is determined via problems for which the exact solutions and numerical results are available. Excellent accuracy and fast convergence are observed.

๐Ÿ“œ SIMILAR VOLUMES

A PARTIAL HYBRID DEGENERATED PLATE/SHELL
A PARTIAL HYBRID DEGENERATED PLATE/SHELL ELEMENT FOR THE ANALYSIS OF LAMINATED COMPOSITES
โœ W. FENG; S. V. HOA ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 683 KB

A degenerated plate/shell element based on the combined energy variational principle and the equivalent single-layer model is proposed. It is derived from the 3-D continuum equation by imposing one constraint on the 3-D isoparametric solid element: a straight line normal to the mid-surface before de

A High Precision Higher Order Triangular
A High Precision Higher Order Triangular Element For Free Vibration Of General Laminated Plates
โœ L.C. Shiau; T.Y. Wu ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 430 KB

A 72 degree of freedom (d.o.f.) high precision triangular plate element based on a simplified higher order shear deformation plate theory is developed for the free vibration analysis of composite laminated plates. The in-plane and transverse displacement fields of the plate are assumed, respectively

A FINITE ELEMENT TIME DOMAIN MODAL FORMU
A FINITE ELEMENT TIME DOMAIN MODAL FORMULATION FOR LARGE AMPLITUDE FREE VIBRATIONS OF BEAMS AND PLATES
โœ Y. Shi; C. Mei ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 373 KB

A finite element time domain modal formulation is presented for the large amplitude free vibration of plates. The procedure of deriving the non-linear modal equations of motion is simple and general. Accurate frequency-maximum deflection relations can be obtained for the fundamental and higher non-l

A LOCK-FREE MATERIAL FINITE ELEMENT FOR
A LOCK-FREE MATERIAL FINITE ELEMENT FOR NON-LINEAR OSCILLATIONS OF LAMINATED PLATES
โœ GAJBIR SINGH; G. VENKATESWARA RAO ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

The objective of the present paper is to propose an e$cient, accurate and robust four-node shear #exible composite plate element with six degrees of freedom per node to investigate the non-linear oscillatory behavior of unsymmetrical laminated plates. The degrees of freedom considered are three disp

A NEW SYMMETRIC AND POSITIVE DEFINITE BO
A NEW SYMMETRIC AND POSITIVE DEFINITE BOUNDARY ELEMENT FORMULATION FOR LATERAL VIBRATIONS OF PLATES
โœ G. Davฤฑ̀; A. Milazzo ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

A new symmetric and positive definite boundary element method in the time domain is presented for the dynamic analysis of thin elastic plates. The governing equations of the problem are obtained from a variational principle in which a hybrid modified functional is employed. The functional is express