Domain-boundary element method for elastodynamics of functionally graded Timoshenko beams

Date

2018-01-15

Author

Eshraghi, Iman
Dağ, Serkan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

51
views

0
downloads

A new domain-boundary element method is developed for elastodynamic analysis of functionally graded Timoshenko beams. Three governing partial differential equations of motion are derived by considering through-the-thickness variations of the physical properties. Weighted-residual forms are imposed utilizing the static fundamental solutions. These forms are then reduced to three integral equations containing domain integrals with time derivatives of unknown functions. Through domain discretization and shape function approximation, integral equations are converted to a system of ordinary differential equations in time. Forced dynamic response is revealed by solving the system of equations via Houbolt method. Comparison of dynamic responses generated for homogeneous beams to those calculated through an analytical solution and finite difference method verify the developed procedures. Further parametric analyses are performed for functionally graded Timoshenko beams under step, harmonic, and impulsive loadings. The numerical results presented illustrate the influence of material inhomogeneity on time histories of deflection and stress. Domain-boundary element method is demonstrated to be an effective technique for elastodynamic analysis of functionally graded structures.

Subject Keywords

Domain-boundary element method, Elastodynamics, Forced vibrations, Functionally graded materials, Timoshenko beam

URI

https://hdl.handle.net/11511/35387

Journal

COMPUTERS & STRUCTURES

DOI

https://doi.org/10.1016/j.compstruc.2017.10.007

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Free vibration analysis of functionally graded rectangular nanoplates considering spatial variation of the nonlocal parameter Ghassabı, A. Alipour; Dağ, Serkan; Ciğeroğlu, Ender (2017-01-01) WE PRESENT A NEW NONLOCAL ELASTICITY-BASED ANALYSIS METHOD for free vibrations of functionally graded rectangular nanoplates. The introduced method allows taking into account spatial variation of the nonlocal parameter. Governing partial differential equations and associated boundary conditions are derived by employing the variational approach and applying Hamilton's principle. Displacement field is expressed in a unified way to be able to produce numerical results pertaining to three different plate theori...
Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach Dağ, Serkan (2006-12-01) A new computational method based on the equivalent domain integral (EDI) is developed for mode I fracture analysis of orthotropic functionally graded materials (FGMs) subjected to thermal stresses. By using the constitutive relations of plane orthotropic thermoelasticity, generalized definition of the J-integral is converted to an equivalent domain integral to calculate the thermal stress intensity factor. In the formulation of the EDI approach, all the required thermomechanical properties are assumed to ha...
Domain-boundary element method for forced vibrations of fiber-reinforced laminated beams Ahmed, Zubair; Eshraghi, Iman; Dağ, Serkan (Informa UK Limited, 2020-01-01) A domain-boundary element method for forced vibration analysis of fiber-reinforced laminated composite beams is introduced. Utilizing static fundamental solutions as weight functions in weighted residual statements, governing partial differential equations of motion are reduced to a system of four coupled integral equations. Domain discretization leads to a system of ordinary differential equations in time, which is solved by the Houbolt method. Developed procedures are verified through comparisons to analy...
Computational Methods for Inclined Cracks in Orthotropic Functionally Graded Materials Under Thermal Stresses Dağ, Serkan; TOPAL, SERRA (2013-10-03) This article sets forth two different computational methods developed to evaluate fracture parameters for inclined cracks lying in orthotropic functionally graded materials, that are under the effect of thermal stresses. The first method is based on the J(k)-integral, whereas the second entails the use of the J(1)-integral and the asymptotic displacement fields. The procedures introduced are implemented by means of the finite element method and integrated into a general purpose finite element analysis softw...
Hybrid finite element for analysis of functionally graded beams Sarıtaş, Afşin; Soydas, Ozan (2017-01-01) A hybrid finite element model is presented, where stiffness and mass distributions over a beam with functionally graded material (FGM) are accurately modeled for both elastic and inelastic material responses. Von Mises and Drucker-Prager plasticity models are implemented for metallic and ceramic parts of FGM, respectively. Three-dimensional stress-strain relations are solved by a general closest point projection algorithm, and then condensed to the dimensions of the beam element. Numerical examples and veri...

Citation Formats

I. Eshraghi and S. Dağ, “Domain-boundary element method for elastodynamics of functionally graded Timoshenko beams,” COMPUTERS & STRUCTURES, pp. 113–125, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35387.