Parametric instability of a rotating truncated conical shell subjected to periodic axial loads

被引：33

作者：

Han Qinkai ^{[1
]}

Chu Fulei ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Mech Engn, Beijing 100084, Peoples R China

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2013年 / 53卷

基金：

美国国家科学基金会;

关键词：

Rotating conical shell; Parametric instability; Periodic axial loads; GDQ method; GENERALIZED DIFFERENTIAL QUADRATURE; DYNAMIC INSTABILITY; STABILITY; PRESSURE; FREQUENCY; VIBRATION;

D O I：

10.1016/j.mechrescom.2013.08.005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Parametric instability of a rotating truncated conical shell subjected to periodic axial loads is studied in the paper. Through deriving accurate expressions of inertial force and initial hoop tension, a rotating conical shell model is presented based upon the Love's thin shell theory. Considering the periodic axial loads, equations of motion of the system with periodic stiffness coefficients are obtained utilizing the generalized differential quadrature (GDQ) method. Hill's method is introduced for parametric instability analysis. Primary instability regions for various natural modes are computed. Effects of rotational speed, constant axial load, cone angle and other geometrical parameters on the location and width of various instability regions are examined. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：63 / 74

页数：12

共 31 条

[1]

Bolotin V.V., 1964, DYNAMIC STABILITY EL

[2]

Ewan-Iwanowski R.M., 1965, APPL MECH REV, V18, P699

[3] Dynamic instability analysis of circular conical shells [J].

Ganapathi, M ;

Patel, BP ;

Sambandam, CT ;

Touratier, M .

COMPOSITE STRUCTURES, 1999, 46 (01) :59-64

[4]

Hua L, 2000, INT J NUMER METH ENG, V48, P1703, DOI 10.1002/1097-0207(20000830)48:12<1703::AID-NME961>3.0.CO

[5]

2-X

[6]

Ibrahim R.A., 1978, SHOCK VIB DIG, P41

[7] NATURAL FREQUENCIES OF TRUNCATED CONICAL SHELLS [J].

IRIE, T ;

YAMADA, G ;

TANAKA, K .

JOURNAL OF SOUND AND VIBRATION, 1984, 92 (03) :447-453

[8]

KORNECKI A, 1966, ISRAEL J TECHNOL, V4, P110

[9] Generalized differential quadrature for frequency of rotating multilayered conical shell [J].

Lam, KY ;

Li, H .

JOURNAL OF ENGINEERING MECHANICS, 2000, 126 (11) :1156-1162

[10] Vibration analysis of a rotating truncated circular conical shell [J].

Lam, KY ;

Hua, L .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1997, 34 (17) :2183-2197

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