Nonlinear Response of Cantilever Beams Due to Large Geometric Deformations: Experimental Validation

被引:15
作者
Aide Gonzalez-Cruz, Claudia [1 ]
Carlos Jauregui-Correa, Juan [1 ]
Herrera-Ruiz, Gilberto [1 ]
机构
[1] Autonomous Univ Queretaro, Fac Engn, Cerro de las Campanas S-N,Ciudad Univ, Queretaro 76010, Qro, Mexico
来源
STROJNISKI VESTNIK-JOURNAL OF MECHANICAL ENGINEERING | 2016年 / 62卷 / 03期
关键词
phase diagram; harmonic distortion; continuous wavelet transform; large geometric deformations; CONVEYING FLUID; VIBRATIONS;
D O I
10.5545/sv-jme.2015.2964
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
Many structural elements, such as gas turbine fans, wind turbine blades, springboards among others are designed as slender elements. Since their dynamic behaviour can be modeled as cantilever beams, it is important to understand their nonlinear behaviour due to large deformations. In this way, this work presents the experimental validation of a simplified model of a cantilever beam. The model is formulated considering large geometric deformations and assuming a Galerkin approach. The model is validated experimentally, and it is found that there is a characteristic frequency related to the nonlinear terms. The data is analysed using time-frequency maps produced with the continuous wavelet transform.
引用
收藏
页码:187 / 196
页数:10
相关论文
共 20 条
[1]  
Ashour ON, 2003, J VIB CONTROL, V9, P209, DOI [10.1177/1077546303009001748, 10.1177/107754603030748]
[2]   Experimental bifurcation analysis of an impact oscillator-Tuning a non-invasive control scheme [J].
Bureau, Emil ;
Schilder, Frank ;
Santos, Ilmar Ferreira ;
Thomsen, Jon Juel ;
Starke, Jens .
JOURNAL OF SOUND AND VIBRATION, 2013, 332 (22) :5883-5897
[3]  
Gao RX, 2011, WAVELETS: THEORY AND APPLICATIONS FOR MANUFACTURING, P1, DOI 10.1007/978-1-4419-1545-0
[4]   On the correct representation of bending and axial deformation in the absolute nodal coordinate formulation with an elastic line approach [J].
Gerstmayr, Johannes ;
Irschik, Hans .
JOURNAL OF SOUND AND VIBRATION, 2008, 318 (03) :461-487
[5]  
Halilovic M, 2007, STROJ VESTN-J MECH E, V53, P806
[6]  
Jauregui J.C., 2014, Parameter Identification and Monitoring of Mechanical Systems Under Nonlinear Vibration
[7]   Bending of functionally graded cantilever beam with power-law non-linearity subjected to an end force [J].
Kang, Ying-An ;
Li, Xian-Fang .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (06) :696-703
[8]   Dynamic analysis of rotating axially FG tapered beams based on a new rigid-flexible coupled dynamic model using the B-spline method [J].
Li, Liang ;
Zhang, Dingguo .
COMPOSITE STRUCTURES, 2015, 124 :357-367
[9]  
Machado S.P., 2004, MECANICA COMPUTACION, V23, P391
[10]   A parametric identification technique for single-degree-of-freedom weakly nonlinear systems with cubic nonlinearities [J].
Malatkar, P ;
Nayfeh, AH .
JOURNAL OF VIBRATION AND CONTROL, 2003, 9 (3-4) :317-336