Wave Based Method for Free Vibration Analysis of Cross-Ply Composite Laminated Shallow Shells with General Boundary Conditions

被引：13

作者：

Shi, Dongyan ^{[1
]}

He, Dongze ^{[1
]}

Wang, Qingshan ^{[2
]}

Ma, Chunlong ^{[3
]}

Shu, Haisheng ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Mech & Elect Engn, Harbin 150001, Peoples R China

[2] Cent South Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Peoples R China

[3] Harbin Vocat & Tech Coll, Dept Automot Engn, Harbin 150001, Peoples R China

来源：

MATERIALS | 2019年 / 12卷 / 23期

基金：

中国国家自然科学基金;

关键词：

composite laminated shallow shell; free vibration characteristics; classical and elastic boundary conditions; general boundary conditions; SHEAR DEFORMATION-THEORY; CYLINDRICAL-SHELL; RESPONSE ANALYSIS; PANELS; ELEMENT;

D O I：

10.3390/ma12233808

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, a semi-analytical method is adopted to analyze the free vibration characteristics of composite laminated shallow shells under general boundary conditions. Combining two kinds of shell theory, that is, first-order shear deformation shell theory (FSDT) and classical shell theory (CST), to describe the dynamic relationship between the displacement resultants and force vectors, the theoretical formulations are established. According to the presented work, the displacement and transverse rotational variables are transformed into wave function forms to satisfy the theoretical formulation. Related to diverse boundary conditions, the total matrix of the composite shallow shell can be established. Searching the determinant of the total matrix using the dichotomy method, the natural frequency of composite laminated shallow shells is obtained. Through several classical numerical examples, it is proven that the results calculated by the presented method are more accurate and reliable. Furthermore, to discuss the effect of geometric parameters and material constants on the natural frequencies of composite laminated shallow shells, some numerical examples are calculated to analyze. Also, the influence of boundary elastic restrained stiffness is discussed.

引用

页数：30

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