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Yoshihiro Narita
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Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Engineering

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Accurate Results for Free Vibration of Doubly Curved Shallow Shells of Rectangular Planform (Part.2 Thickness effect) Yoshihiro Narita
EPI International Journal of Engineering Vol 4 No 2 (2021): Volume 4 Number 2, August 2021
Publisher : Center of Techonolgy (COT), Engineering Faculty, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25042/10.25042/epi-ije.082021.13

Abstract

This paper presents a follow-up study of a previous work that deals with the free vibration of moderately thin isotropic shallow shells under general edge conditions. The same semi-analytical method is used in this study for identical shape and degree of curvature in doubly curved geometry, and accurate natural frequencies are tabulated for a wide range of the shell edge conditions. Emphasis is made, however, to present the frequency parameters for the shallow shells with very thin thickness (representative length/shell thickness=100). In numerical experiments, convergence test is made against series terms in the case of very thin shallow shells. Twenty-one sets of frequency parameters are tabulated for three shell shapes (spherical, cylindrical and hyperbolic paraboloidal shells) and two curvature ratios. These two papers (Part.1 and 2) will constitute the accurate standard in the area of shallow shell vibration of rectangular planform and serve for future comparison and practical design purpose.
Natural Frequencies of Isotropic Rectangular Plates in Improved Accuracy Yoshihiro Narita
EPI International Journal of Engineering Vol 5 No 1 (2022): Volume 5 Number 1, February 2022
Publisher : Center of Techonolgy (COT), Engineering Faculty, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25042/epi-ije.022022.05

Abstract

The objective of this paper is to present comprehensive lists of accurate natural frequencies of isotropic thin rectangular plates. For this purpose, a simple yet very accurate analytical approach is described to study the free vibration of the plates. In numerical computations, convergence and comparison studies are conducted to check accuracy of the present solution and to demonstrate improvement of numerical solutions in the results. Twenty-one tables are then provided to give the lowest six frequency parameters for all possible combinations of three typical edge conditions (clamped, simply supported and free edges). Each frequency value in the tables is given in five significant figures for non-Levy type problem (i.e., two opposite edges not simply supported) and six significant figures for Levy type problem. These results are presented for five different aspect ratios in the same format of the past representative reference.
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