“…It is claimed that the error in CLT is large, and that HSDT is not superior accuracy than FSDT. A theoretical vibration analysis of composite beams with solid cross sections was presented by Teoh and Huang [12].…”
Section: Figure 1 Three Plies With Their Fiber Arranged In Three Diffmentioning
This study addresses the problem of free vibration of laminated composite beams. Six end boundary conditions for beams are considered: clamped-clamped; hinged-hinged; free-free; clamped-hinged; clamped-free; and hinged-free beams. The problem is analyzed and solved using the energy approach which is formulated by a finite element model.
This method of analysis is verified by comparing the numerical results obtained for AS
“…It is claimed that the error in CLT is large, and that HSDT is not superior accuracy than FSDT. A theoretical vibration analysis of composite beams with solid cross sections was presented by Teoh and Huang [12].…”
Section: Figure 1 Three Plies With Their Fiber Arranged In Three Diffmentioning
This study addresses the problem of free vibration of laminated composite beams. Six end boundary conditions for beams are considered: clamped-clamped; hinged-hinged; free-free; clamped-hinged; clamped-free; and hinged-free beams. The problem is analyzed and solved using the energy approach which is formulated by a finite element model.
This method of analysis is verified by comparing the numerical results obtained for AS
“…It is also assumed that the moving concentrated load moves with a constant velocity. In the cross-ply laminated composite beams parameters such as deflection and beam slope due to bending are sufficient for describing the displacement field [10]. Therefore, the displacement field for the crossply laminated composite beams can be formulated according to the first-order shear deformation theory as [11] U (x, y,…”
In this article, the dynamic analysis of an infinite Timoshenko beam made of a laminated composite located on a generalized Pasternak viscoelastic foundation is studied. The beam is subjected to a moving concentrated load. It is assumed that the mechanical properties of the beam change in the direction of the beam thickness but remain constant in the axial direction. Closed-form steady-state solutions, based on the first-order shear deformation theory, are developed. By selection of an appropriate displacement field for the composite beam, and using the principle of total minimum potential energy, the governing partial differential equations of motion are obtained and solved through a complex infinite Fourier transformation method. The results are introduced in terms of deflection, bending moment, shear force, and stress. In addition, the effects of stiffness, shear layer viscosity coefficients of foundation, velocity of the moving load, number of layers, and various angles of layers over the beam response are studied. For some specific cases, the results are compared with those presented in some other published papers, with which good agreements are observed.
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