THREE-DIMENSIONAL VIBRATIONS OF TWISTED CANTILEVERED PARALLELEPIPEDS.

被引：0

作者：

Leissa, A. ^{[1
]}

Jacob, K.I. ^{[1
]}

机构：

[1] Ohio State Univ, Columbus, OH, USA, Ohio State Univ, Columbus, OH, USA

来源：

Journal of Applied Mechanics, Transactions ASME | 1986年 / 53卷 / 03期

关键词：

MATHEMATICAL TECHNIQUES - Finite Element Method - PLATES - Vibrations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A large number of references dealing with the vibrations of twisted, cantilevered beams and plates exist in the literature. These works show considerable disagreement concerning the effect of twist angle upon frequencies. The present work is the first three-dimensional study of the problem. Displacement components are assumed in the form of algebraic polynomials which satisfy the fixed face conditions exactly, and which are mathematically complete. The Ritz method is then applied. Accurate frequencies are calculated for twisted thick plates and are compared with ones obtained recently by others using beam, shell, and finite element theory.

引用

页码：614 / 618

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