Nonlinear dynamic response of a stiffened plate with four edges clamped under primary resonance excitation

被引：18

作者：

Ma, Niujing ^{[1
]}

Wang, Ronghui ^{[1
]}

Li, Pingjie ^{[1
]}

机构：

[1] S China Univ Technol, Sch Civil Engn & Transportat, Guangzhou 510640, Peoples R China

来源：

NONLINEAR DYNAMICS | 2012年 / 70卷 / 01期

关键词：

Stiffened plates; Clamped; Lagrange equation; Primary resonance; Internal resonance; Multiple scales method; HIERARCHICAL FINITE-ELEMENT; FREE-VIBRATION ANALYSIS; RECTANGULAR-PLATES; CIRCULAR PLATES; INTERNAL RESONANCES; BOUNDARY-CONDITIONS; STABILITY ANALYSIS; DIFFERENCE METHOD; LAMINATED PLATES; BEAMS;

D O I：

10.1007/s11071-012-0483-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

An approach is presented to study the nonlinear forced vibration of a stiffened plate. The stiffened plate is divided into one plate and some stiffeners, with the plate considered to be geometrically nonlinear, and the stiffeners taken as geometrically nonlinear Euler beams. Assuming the displacement of the stiffened plate, Lagrange equation and modal superposition method are used to derive the dynamic equilibrium equations of the stiffened plate according to energy of the system. A stiffened plate with four clamped edges subjected to harmonic excitation is studied by means of the method of multiple scales; the first approximation solutions of the double-modal motion of the system are obtained. Numerical examples for different stiffened plates are presented to discuss the steady response of the primary resonance and the amplitude-frequency relationship; and some nonlinear forced vibration characteristics of the stiffened plate are obtained, which are useful for engineering design.

引用

页码：627 / 648

页数：22

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