USE OF BEAM FUNCTIONS FOR PROBLEMS OF PLATES INVOLVING FREE EDGES

被引：60

作者：

BASSILY, SF

DICKINSON, SM

机构：

[1] UNIV WESTERN ONTARIO,FAC ENGN SCI,LONDON,ONTARIO,CANADA

[2] RCA,MONTREAL,QUEBEC,CANADA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1975年 / 42卷 / 04期

关键词：

Approximate solution - Beam vibration - Free edge - Free vibration - Mode shapes - New functions - Ritz methods - Static deflections;

D O I：

10.1115/1.3423720

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The inadequacy of beam vibration mode shapes when used in the Ritz method to obtain approximate solutions for flexural problems concerning plates involving free edges is demonstrated. A new set of functions, related to beam mode shapes, is postulated which allows considerably more accurate treatment of such plates. Several numerical examples concerning static deflection and free vibration of plates involving free edges are examined and serve to illustrate the applicability and accuracy of the new functions and to further demonstrate the inadequacy of the ordinary beam functions. © 1975 by ASME.

引用

页码：858 / 864

页数：7

共 18 条

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BASSILY, SF
DICKINSON, SM
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