Vibration Analysis of Discontinuous Mindlin Plates by Differential Quadrature Element Method-Reference-Cited by-同舟云学术

Vibration Analysis of Discontinuous Mindlin Plates by Differential Quadrature Element Method

Published:1999-04-01 Issue:2 Volume:121 Page:204-208
ISSN:1048-9002
Container-title:Journal of Vibration and Acoustics
language:en
Short-container-title:

Author:

Liu F.-L.¹,Liew K. M.²

Affiliation:

1. CAD/CAM Laboratory, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

2. Center for Advanced Numerical Engineering Simulations, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

Abstract

A new numerical technique, the differential quadrature element method (DQEM), has been developed for solving the free vibration of the discontinuous Mindlin plate in this paper. By the DQEM, the complex plate domain is decomposed into small simple continuous subdomains (elements) and the differential quadrature method (DQM) is applied to each continuous subdomain to solve the problems. The detailed formulations for the DQEM and the connection conditions between each element are presented. Several numerical examples are analyzed to demonstrate the accuracy and applicability of this new method to the free vibration analysis of the Mindlin plate with various discontinuities which are not solvable directly using the differential quadrature method.

Publisher

ASME International

Subject

General Engineering

Link

http://asmedigitalcollection.asme.org/vibrationacoustics/article-pdf/121/2/204/5825650/204_1.pdf

Reference22 articles.

1. Ota T. , and HamadaM., 1963, “Fundamental Frequencies of Simply Supported But Partially Clamped Square Plates,” Bull. Japan Soc. Mech. Engrs., Vol. 6, pp. 397–403.

2. Stahl B. , and KeerL. M., 1972, “Vibration and Stability of Cracked Rectangular Plates,” Int. J. Solids Struct, Vol. 8, No. 2, pp. 69–92.

3. Ali R. , and AtwaiS. J., 1980, “Prediction of Natural Frequencies of Vibration of Rectangular Plates with Rectangular Cutouts,” Computers and Structures, Vol. 12, pp. 819–826.

4. Liew K. M. , HungK. C., and LimM. K., 1993, “Roles of Domain Decomposition Method in Plate Vibrations: Treatment of Mixed Discontinuous Periphery Boundaries,” Int. J. Mech. Sci., Vol. 35, No. 7, pp. 615–632.

5. Liew K. M. , HungK. C., and LimM. K., 1994a, “A Solution Method for Analysis of Cracked Plates under Vibration,” Engineering Fracture Mechanics, Vol. 48, No. 3, pp. 393–404.

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