فهرس المقالات Sandwich beam

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  1 - On Static Bending, Elastic Buckling and Free Vibration Analysis of Symmetric Functionally Graded Sandwich Beams
  A.S Sayyad P.V Avhad
  10.22034/jsm.2019.664227
  This article presents Navier type closed-form solutions for static bending, elastic buckling and free vibration analysis of symmetric functionally graded (FG) sandwich beams using a hyperbolic shear deformation theory. The beam has FG skins and isotropic core. Material أکثر

  This article presents Navier type closed-form solutions for static bending, elastic buckling and free vibration analysis of symmetric functionally graded (FG) sandwich beams using a hyperbolic shear deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are varied through the thickness according to the power law distribution. The present theory accounts for a hyperbolic distribution of axial displacement whereas transverse displacement is constant through the thickness i.e effects of thickness stretching are neglected. The present theory gives hyperbolic cosine distribution of transverse shear stress through the thickness of the beam and satisfies zero traction boundary conditions on the top and bottom surfaces of the beam. The equations of the motion are obtained by using the Hamilton’s principle. Closed-form solutions for static, buckling and vibration analysis of simply supported FG sandwich beams are obtained using Navier’s solution technique. The non-dimensional numerical results are obtained for various power law index and skin-core-skin thickness ratios. The present results are compared with previously published results and found in excellent agreement. تفاصيل المقالة
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  2 - Nonlinear Free Vibration Analysis of Functionally Graded Sandwich Beam with Magnetorheological Fluid Core Using Timoshenko Beam Theory
  O Miraliyari S Jafari Mehrabadi M.M Najafizadeh
  10.22034/jsm.2021.1937989.1713
  In this paper, the analysis of nonlinear free vibrations of beams made of functionally graded materials with magnetorheological fluid as core is investigated. It is assumed that the beam is made of three layers including constraining layer, magnetorheological fluid and أکثر

  In this paper, the analysis of nonlinear free vibrations of beams made of functionally graded materials with magnetorheological fluid as core is investigated. It is assumed that the beam is made of three layers including constraining layer, magnetorheological fluid and base layer and is located on Simply-Simply, Clamped-Simply and Clamped–Clamped supports. The governing equations of the beam are derived using the Hamilton’s principle. To obtain the vibrational frequencies, the theory of Timoshenko beam is used by the Generalized Differential Quadrature method. The effects of magnetic field intensity, power law exponents, core thickness and constraining layer thickness and the length of the beam on natural frequency and modal loss factor related to different frequencies modes for the three boundary conditions have been investigated. The results show the effects of physical and geometrical parameters regarding the natural frequency and modal loss factor of the sandwich beam with different modes. Also, the frequency and loss factor values obtained from Generalized Differential Quadrature method are very close to the results obtained by the Finite Element method. This shows the accuracy and precision of this method. تفاصيل المقالة
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  3 - Coupled Bending-Longitudinal Vibration of Three Layer Sandwich Beam using Exact Dynamic Stiffness Matrix
  A. Zare B Rafezy W.P Howson
  A Newtonian (vectorial) approach is used to develop the governing differential equations of motion for a three layer sandwich beam in which the uniform distribution of mass and stiffness is dealt with exactly. The model allows for each layer of material to be of unequal أکثر

  A Newtonian (vectorial) approach is used to develop the governing differential equations of motion for a three layer sandwich beam in which the uniform distribution of mass and stiffness is dealt with exactly. The model allows for each layer of material to be of unequal thickness and the effects of coupled bending and longitudinal motion are accounted for. This results in an eighth order ordinary differential equation whose closed form solution is developed into an exact dynamic member stiffness matrix (exact finite element) for the beam. Such beams can then be assembled to model a variety of structures in the usual manner. However, such a formulation necessitates the solution of a transcendental eigenvalue problem. This is accomplished using the Wittrick-Williams algorithm, whose implementation is discussed in detail. The algorithm enables any desired natural frequency to be converged upon to any required accuracy with the certain knowledge that none have been missed. The accuracy of the method is then confirmed by comparison with five sets of published results together with a further example that indicates its range of application. A number of further issues are considered that arise from the difference between sandwich beams and uniform single material beams, including the accuracy of the characteristic equation, co-ordinate transformations, modal coupling and the application of boundary conditions. تفاصيل المقالة
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  4 - Free Vibration Analysis of Sandwich Beams with FG Face Sheets Based on the High Order Sandwich Beam Theory
  Mohsen Rahmani Sajjad Dehghanpour Ali Barootiha
  In this paper, the vibration behavior of the sandwich beams with functionally graded face-sheets is investigated based on the high order sandwich beam theory.The properties of the FGM are varied gradually across the thickness of the structures in accordant with the powe أکثر

  In this paper, the vibration behavior of the sandwich beams with functionally graded face-sheets is investigated based on the high order sandwich beam theory.The properties of the FGM are varied gradually across the thickness of the structures in accordant with the power-law rule. First-order shear deformation theory and polynomial patterns are used to model the displacements of the face-sheets and the core, respectively. The governing equations of the motion are obtained based on Hamilton’s energy principle and solved by a Galerkin method. An algebraic method is used to reduce the number of equations. Boundary conditions are considered as simply supported and clamped.The effect of the power-law index and geometrical variations are surveyed on the fundamental frequency parameter for different sandwich beams in some numerical examples. In order to verify the results of the present study, they are compared with special cases of the literature. تفاصيل المقالة
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  5 - Temperature-dependent Vibration Analysis of Clamped-free Sandwich Beams with Porous FG Core
  Mohsen Rahmani
  In recent years, there has been a demand for the production of materials with high thermal resistance and manufacturing structures with high mechanical strength in modern industries. In this paper, the frequency responses analysis of the sandwich beams with functionally أکثر

  In recent years, there has been a demand for the production of materials with high thermal resistance and manufacturing structures with high mechanical strength in modern industries. In this paper, the frequency responses analysis of the sandwich beams with functionally graded core and homogeneous face sheets are presented based on the high-order sandwich beam theory. All materials are temperature dependent and the properties of FGM are varied gradually by a power-law rule which is modified by considering even and uneven porosity distributions across the thickness. Nonlinear Lagrange strain and thermal stresses of the face sheets and in-plane strain and transverse flexibility of the core are considered. Governing equations of the motion are obtained based on Hamilton’s principle and solved by a Galerkin method for the clamped-free boundary condition. To verify the results of this study, they compared with special cases of the literature. Based on the numerical results, it is concluded that by increasing the temperature, power-law index, length, thickness, porosity volume fraction the fundamental frequency parameter decreases, and increasing the wave number causes the frequency increases. تفاصيل المقالة
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  6 - Nonlinear Buckling Analysis of Different Types of Porous FG Sandwich Beams with Temperature-Dependent
  Mohsen Rahmani Younes Mohammadi Mahdi Abtahi
  In this paper, the nonlinear buckling behavior of two types of functionally graded sandwich beams was studied using a high-order sandwich beam theory. Type I consists of functionally graded layers coating a homogeneous core, while type II features an FG core covered by أکثر

  In this paper, the nonlinear buckling behavior of two types of functionally graded sandwich beams was studied using a high-order sandwich beam theory. Type I consists of functionally graded layers coating a homogeneous core, while type II features an FG core covered by homogeneous face sheets. All materials are considered temperature dependent, with FGM properties modified through even and uneven porosity distributions modeled by a power law rule. The sandwich beam theory was adjusted to account for nonlinear Lagrange strains, thermal stresses of the face sheets, in-plane strain, and the transverse flexibility of the core. The governing equations were derived from the minimum potential energy principle, and a Galerkin method was employed to solve them for simply supported and clamped boundary conditions. Comparisons with existing literature demonstrate good agreement. The resultes showed that critical load parameter decreases with increasing temperature, power law index, length-to-thickness ratio, thickness, and porosity volume fraction in both distributions, but increases with the wave number. Additionally, the stability of type II sandwich beams surpasses that of type I in high-temperature conditions. تفاصيل المقالة
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  7 - Frequency responses analysis of clamped-free sandwich beams with porous FG face sheets
  Mohsen Rahmani
  In this paper, the frequency responses analysis of the sandwich beams with functionally graded face sheets and homogeneous core is investigated based on the high order sandwich beam theory. All materials are temperature dependent and the functionally graded materials pr أکثر

  In this paper, the frequency responses analysis of the sandwich beams with functionally graded face sheets and homogeneous core is investigated based on the high order sandwich beam theory. All materials are temperature dependent and the functionally graded materials properties are varied gradually by a power law rule which is modified by considering the even and uneven porosity distributions. The nonlinear Lagrange strain and the thermal stresses of the face sheets and in-plane strain and transverse flexibility of the core are considered. Hamilton’s principle and Galerkin method are used to obtain and solve the equations for the clamped-free boundary condition. To verify the results of this study, they compared with special cases of the literatures. Based on the numerical results, it is concluded that by increasing the temperature, power law index, length, thickness, porosity volume fraction the fundamental frequency parameter decreases and increasing the wave number causes the frequency increases. تفاصيل المقالة