Similitudes for the structural response of flexural plates

被引：43
作者：
De Rosa, S. [1 ]
Franco, F. [1 ]
Meruane, V. [2 ]
机构：
[1] Univ Naples Federico II, Dept Ind Engn, Pasta Lab, Aerosp Sect, Via Claudio 21, I-80125 Naples, Italy
[2] Univ Chile, Dept Mech Engn, DIMEC, Santiago, Chile
来源：
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE | 2016年 / 230卷 / 02期
关键词：
Similitude; plate; modal approach; SCALING LAWS; VIBRATION CHARACTERISTICS; LAMINATED PLATES; MODELS; PREDICTION;
D O I：
10.1177/0954406215572436
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This article presents an investigation into exact and distorted similitudes and the related scaling laws for the analysis of the dynamic response of rectangular flexural plates. The response of a given model in similitude is determined from a generalization of the modal approach, which allows the use the mode shapes and natural frequencies in order to establish scaling laws. Analytical models of simply supported rectangular plates are used to produce both the original and distorted model responses. Some highlights about the distribution of the natural frequencies, the forced response and the energy response are given. The results show that, with the proposed methodology, it is possible to reproduce with good confidence the response of the reference plate, even if distorted models are used.
引用
收藏
页码：174 / 188
页数：15
相关论文
共 22 条
[1]   A scaling procedure for the response of an isolated system with high modal overlap factor [J].
De Rosa, S. ;
Franco, F. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2008, 22 (07) :1549-1565
[2]   Partial scaling of finite element models for the analysis of the coupling between short and long structural wavelengths [J].
De Rosa, S. ;
Franco, F. ;
Polito, T. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2015, 52-53 :722-740
[3]   A similitude for structural acoustic enclosures [J].
De Rosa, S. ;
Franco, F. ;
Li, X. ;
Polito, T. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2012, 30 :330-342
[4]   Structural similitudes for the dynamic response of plates and assemblies of plates [J].
De Rosa, S. ;
Franco, F. ;
Polito, T. .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2011, 25 (03) :969-980
[5]   On the use of the asymptotic scaled modal analysis for time-harmonic structural analysis and for the prediction of coupling loss factors for similar systems [J].
De Rosa, Sergio ;
Franco, Francesco .
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2010, 24 (02) :455-480
[6]  
Kline S.T., 1986, Similitude and Approximation Theory
[7]  
Leissa A., 1993, VIBRATION PLATES
[8]  
Luo Z, 2014, P IMECHE C
[9]  
Moser J., 1975, Dynamical Systems, Theory and Applications, V38
[10]   Design of scaled down models for predicting shell vibration response [J].
Rezaeepazhand, J ;
Simitses, GJ ;
Starnes, JH .
JOURNAL OF SOUND AND VIBRATION, 1996, 195 (02) :301-311
123