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Research Papers

Periodic Solutions and Nonlinear Analysis Used for Evaluating of Dynamic Properties of Glued-Laminated Beams Reinforced With GRP

[+] Author and Article Information
M. Naghipour

Department of Civil Engineering, Babol University of Technology, 47148-71167 Babol, Iranm-naghi@nit.ac.ir

SHA. Hashemi Kachapi

Department of Mechanical Engineering, Babol University of Technology, 47148-71167 Babol, Iransha.hashemi.kachapi@gmail.com

M. Nematzadeh

Department of Civil Engineering, Babol University of Technology, 47148-71167 Babol, Iranm.nematzadeh@stu.nit.ac.ir

J. Appl. Mech 78(1), 011019 (Oct 26, 2010) (7 pages) doi:10.1115/1.4002013 History: Received September 05, 2009; Revised April 11, 2010; Posted June 30, 2010; Published October 26, 2010; Online October 26, 2010

Analytical investigations into dynamic properties of glued-laminated beams reinforced with various lay ups of e-glass reinforced epoxy polymer composites are discussed. The exp-function method is used to obtain generalized solitonary solutions and periodic solutions for nonlinear evolution equations arising in mathematical physics using symbolic computation. By using this method, natural frequency and dynamic responses of the wood-composite beams are obtained. The existing data obtained from our published work, the grindosonic instrument, and also the data from the beams tested using the power spectral density method is used for validity of analytical method. The data from finite element method as a numerical method was also employed. The comparison indicated that the proposed exp-function method could be effectively used to establish the natural frequency and dynamic properties of glulam reinforced composite beams when conducted in nonlinear equation forms.

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Figures

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Figure 5

Comparison of natural frequencies of glulam beams determined by different methods

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Figure 4

The geometry and coordinates system of a laminated plate

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Figure 3

Experimental setup for dynamic test of cantilevered glulam beams using grinidosonic instrument

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Figure 2

Experimental setup for dynamic test of cantilevered glulam beams using the PSD method

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Figure 1

The schematics of the GRP reinforced glulam beams used in the investigation: (a) GRP applied at the bottom surface and (b) GRP reinforced beam with a “bumper” wood laminate

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