Nonlinear Vibration Analysis of Simply Supported Stiffened Plate by a Variational Method

被引：13
|
作者：
Mitra, Anirban [1 ]
Sahoo, Prasanta [1 ]
Saha, Kashinath [1 ]
机构：
[1] Jadavpur Univ, Dept Mech Engn, Kolkata 700032, India
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2013年 / 20卷 / 05期
关键词：
stiffened plate; nonlinear vibration; geometric nonlinearity; energy methods; backbone curves; FINITE-DIFFERENCE METHOD; AMPLITUDE FLEXURAL VIBRATION; RECTANGULAR-PLATES; STABILITY ANALYSIS; SUPER ELEMENTS; DISPLACEMENTS; BEAMS;
D O I：
10.1080/15376494.2011.627640
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Large-amplitude free vibration analysis of uni-axially single stiffened rectangular plates subjected to transverse loading with simply supported boundary conditions has been presented. The mathematical formulation is based on energy principle. Geometric nonlinearity is accounted for by consideration of nonlinear strain-displacement relations. The static problem is solved through an iterative scheme and the dynamic problem is solved with the static displacement field as an initial guess. Influence of stiffener position, plate aspect ratio, and stiffener to plate thickness ratio on the large amplitude dynamic behavior has been studied. The dynamic behavior has been furnished in the form of backbone curves in a dimensionless frequency-amplitude plane.
引用
收藏
页码：373 / 396
页数：24
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