Abstract
In this study, we present a numerical solution for geometrically nonlinear dynamic analysis of functionally graded material rectangular plates excited to a moving load based on first-order shear deformation theory (FSDT) for the first time. To derive the governing equations of motion, Hamilton’s principle, nonlinear Von Karman assumptions and FSDT are used. Finally, the governing equations of motion are solved by employing the generalized differential quadratic method as a numerical solution. Natural frequencies, dynamic bending behavior and stresses of the plate for linear and nonlinear type of geometrically strain–displacement relations and different factors, including the magnitude and velocity of moving load, length ratio, power law exponent and various edge conditions are obtained and compared.Article highlightsDeveloping generalized differential quadrature method (GDQM) solution based on FSDT for dynamic analysis of FGM plate excited by a moving load for the first time.Comparison of linear and nonlinear dynamic response of plate by considering Von-Karman assumption.Observing considerable difference between linear and nonlinear results
Highlights
Nowadays, functionally graded materials (FGMs) are employed in various major sectors of industries due to fantastic mechanical property
Malekzadeh and Monajjemzadeh [7] studied linear dynamic response of rectangular plates made of FGMs in the presence of temperature under moving force based on first-order shear deformation theory (FSDT) and using finite element method (FEM) [8]
Kiani carried out investigation about linear dynamics of composite cylindrical [18] –conical [19] panels made of functionally graded carbon nanotube (FG-CNT) excited by a moving load using FSDT and applying Ritz procedure
Summary
Functionally graded materials (FGMs) are employed in various major sectors of industries due to fantastic mechanical property. Kiani carried out investigation about linear dynamics of composite cylindrical [18] –conical [19] panels made of functionally graded carbon nanotube (FG-CNT) excited by a moving load using FSDT and applying Ritz procedure. Based on higher shear deformation theory and by using Galerkin method, Nonlinear dynamic response and vibration of functionally graded carbon nanotube reinforced composite double curved shallow shells subjected to blast load and temperature were presented by Duc et al [30]. Duc et al [31] employed FSDT theory and Galerkin method to investigate nonlinear dynamic and vibration analyses of shear deformable eccentrically stiffened S-FGM cylindrical panels resting on elastic foundations. A numerical procedure by using GDQM is conducted for analyzing nonlinear dynamic behavior of FGM plates excited by moving loads employing Hamilton’s principle, Von Karman assumptions and FSDT theory. The mechanical properties of the structure such as the modulus of elasticity and mass density are defined as:
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
