Spectral element analysis of the axial-bending-shear coupled vibrations of composite Timoshenko beams

Jang, Ik‐Soon; Lee, U

doi:10.1177/0021998311432946

Cited by 11 publications

(4 citation statements)

References 13 publications

(61 reference statements)

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“…Many researchers have used the SEM to study the structural dynamic responses [4][5][6][7][8][9][10][11][12][13]. Banerjee and Williams [4] provided the dynamic stiffness matrix of basic beam structures and described the characteristics of the SEM.…”

Section: Introductionmentioning

confidence: 99%

“…Park and Lee [11] used the SEM in the frequency domain to study the dynamic characteristics of the axial-bending coupled two-layer smart composite beams and obtained the accurate results comparing with the FEM. Jang and Lee [12] presented the spectral element model to study the axial-bending-shear coupled vibrations of composite laminated beams based on the first-order shear deformation theory. Lee and Lee [13] studied the free vibration of some typical lattice structures such as the plane truss, the space lattice frame, and the armchair carbon nanotube based on the extended Timoshenko beams using the SEM.…”

Section: Introductionmentioning

confidence: 99%

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Vibration analysis and active control for frame structures with piezoelectric rods using spectral element method

Liu

2015

Arch Appl Mech

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The dynamic responses and vibration suppression of frame structures considering the shear deformation are investigated using the spectral element method (SEM). Vibration suppression of the frame structures is studied through the active control technique using the piezoelectric rods. The local dynamic stiffness matrices of the spectral elements for the Timoshenko beams and longitudinal vibration of the rods are obtained in the Fourier phase space and that for the axial-bending-shear coupled vibration of the piezoelectric rod is also gotten. From the transformation between the local and global coordinates, the global dynamic stiffness matrix for the whole frame structures containing the piezoelectric rods is obtained. From the numerical simulation, the dynamic responses of the frame structures can be effectively and exactly calculated by the SEM comparing with the finite element method. It can be found that the dynamic responses of the frame structures can be effectively suppressed by the active control technique based on the piezoelectric rods. The influences of the structural parameters on the dynamic responses and active control effect are also analyzed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Vibration analysis and active control for frame structures with piezoelectric rods using spectral element method

Liu

2015

Arch Appl Mech

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“…Some scholars have investigated different structures by using SEM. Jian and Lee (2012) presented a spectral element model for the axially loaded axial-bendingshear coupled vibrations of composite laminated beams. The results were compared with the exact theoretical solutions, from which the high accuracy of this method was proved.…”

Section: Introductionmentioning

confidence: 99%

Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices

2014

Journal of Vibration and Control

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In this paper, the vibration band gap properties of a two-dimensional square lattice are studied using the spectral element method. Before assembling the spectral equations of whole structures, the spectral stiffness matrices of the tensional and bending elements are established. The frequency responses of the lattices are calculated and compared with those obtained by the finite element method. It can be observed that the results in the spectral element method are more accurate, especially in high frequency ranges. The frequency band gap properties are analyzed based on the accurate frequency responses. The effects of the material and structure parameters on the band gap properties are investigated.

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“…[14] performed the free vibration analyses of generally laminated composite beams using the method of Lagrange multipliers. Jang and Lee [15] presented a spectral element model for the axialbending-shear coupled vibrations of axially loaded laminated Timoshenko beams.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Fiber Orientation and Laminate Stacking Sequences on the Torsional Natural Frequencies of Laminated Composite Beams

Aly¹

2013

IJRET

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The composite materials are well known by their excellent combination of high structural stiffness and low weight. The main feature of these anisotropic materials is their ability to be tailored for specific applications by optimizing design parameters such as stacking sequence, ply orientation and performance targets. Finding free torsional vibrations characteristics of laminated composite beams is one of the bases for designing and modeling of industrial products. With these requirements, this work considers the free torsional vibrations for laminated composite beams of doubly symmetrical cross sections. The torsional vibrations of the laminated beams are analyzed analytically based on the classical lamination theory, and accounts for the coupling of flexural and torsional modes due to fiber orientation of the laminated beams are neglected. Also, the torsional vibrations of the laminated beams analyzed by shear deformation theory in which the shear deformation effects are considered. Numerical analysis has been carried out using finite element method (FEM). The finite element software package ANSYS 10.0 is used to perform the numerical analyses using an eight-node layered shell element to describe the torsional vibration of the laminated beams. Numerical results, obtained by the ANSYS 10.0, classical lamination theory, and shear deformation theory are presented to highlight the effects of fibers orientation and layers stacking sequence on torsional frequencies of the beams.

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Spectral element analysis of the axial-bending-shear coupled vibrations of composite Timoshenko beams

Cited by 11 publications

References 13 publications

Vibration analysis and active control for frame structures with piezoelectric rods using spectral element method

Vibration analysis and active control for frame structures with piezoelectric rods using spectral element method

Spectral element method and its application in analysing the vibration band gap properties of two-dimensional square lattices

The Effect of Fiber Orientation and Laminate Stacking Sequences on the Torsional Natural Frequencies of Laminated Composite Beams

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