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Journal ArticleDOI

Vibrations of orthotropic triangular plates

01 Jan 1989-Composite Structures (Elsevier)-Vol. 12, Iss: 1, pp 17-25
TL;DR: In this paper, the effect of fiber orientation and boundary conditions on vibration behavior of thin orthotropic triangular plates was studied using a three-noded triangular plate finite element, and the impact of the fiber orientation on the vibration behaviour of these isosceles triangular plates has been analyzed.
About: This article is published in Composite Structures.The article was published on 1989-01-01. It has received 7 citations till now. The article focuses on the topics: Orthotropic material.
Citations
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Journal ArticleDOI
TL;DR: In this paper, an experimental study was carried out using three machining parameters namely cutting speed, feed and depth of cut for carbon fiber reinforced polymeric composites using a ceramic cutting tool.

20 citations

Journal ArticleDOI
TL;DR: In this article, the free vibration of isotropic and symmetrically laminated composite plates of general triangular planform is studied using the Rayleigh-Ritz method, where point supports are introduced using the method of Lagrange multipliers and the effects of geometry, material properties and lamination on the natural frequencies of the plate are investigated.

7 citations

Journal ArticleDOI
TL;DR: In this article, an approximate method is used for analyzing the free vibration problem of isotropic and anisotropic right triangular plates with various aspect-ratio and variable thickness.
Abstract: An approximate method is used for analyzing the free vibration problem of isotropic and anisotropic right triangular plates with various aspect-ratios and variable thickness. In this paper, a right triangular plate is considered as a kind of equivalent rectangular plate with point supports. Therefore, the free vibration characteristics of any triangular plate can be obtained by analyzing the equivalent rectangular plate. The differential equations of the equivalent rectangular plate with point supports are established based on the first-order shear deformation theory. By transforming the differential equations into integral equations and using numerical integration, the solutions of the partial differential equation can be obtained in discrete form. The Green function, which is the discrete solution for the deflection, is introduced to obtain the characteristic equation of the free vibration. Frequencies and mode shapes are shown for some triangular plates with various aspect-ratio and variable thickness. The effects of boundary conditions and the fibre orientation on the frequency parameters are considered. The efficiency and accuracy of the numerical solutions by the present method are investigated.

4 citations

References
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Book
01 Jan 1971
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Abstract: Thank you very much for downloading the finite element method in engineering science. Maybe you have knowledge that, people have search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads. Rather than enjoying a good book with a cup of tea in the afternoon, instead they cope with some infectious bugs inside their computer.

3,688 citations

Journal ArticleDOI
TL;DR: In this article, the problem of the natural frequencies and mode shapes of cantilevered triangular plates with variable thickness and arbitrary planform was solved using the finite element technique. And the frequencies for the various cases are tabulated and a few typical mode shapes have been presented graphically.

21 citations

Journal ArticleDOI
TL;DR: In this paper, the problem of natural vibrations of an isosceles-triangular plate with all edges clamped or with two equal edges and the base edge supported is treated by means of the energy method.
Abstract: The problem of natural vibrations of an isosceles-triangular plate with all edges clamped or with two equal edges clamped and the base edge supported is treated in this paper by means of the energy method, which was applied by one of the authors to the eigenvalue problems of a rhomboidal plate with all edges clamped. Numerical values of the fundamental frequencies are calculated for plates with several contained angles, and they are checked by experiments.

12 citations