Equilibrium and buckling stability for axially traveling plates

Luo, Albert C. J.; Hamidzadeh, Hamid R.

doi:10.1016/s1007-5704(02)00132-6

Cited by 43 publications

(14 citation statements)

References 9 publications

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“…Chen and Ding [24] and Ding and Chen [25] used both finite difference method and differential quadrature method to confirm the dynamical behaviors obtained by analytical method and they found that the analytical and numerical results are very close in the vicinity of resonances in transverse motion of axially moving beam. Luo [26] studied the buckling stability and post-buckling chaos of an axially moving plate by Galerkin method and then numerical method. According to the report byČepon and Boltežar [27], the finite difference method is efficient and effective in the dynamical study of forced axially moving continuum.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of axially moving plate by finite difference method

et al. 2011

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The complex natural frequencies for linear free vibrations and bifurcation and chaos for forced nonlinear vibration of axially moving viscoelastic plate are investigated in this paper. The governing partial differential equation of out-of-plane motion of the plate is derived by Newton's second law. The finite difference method in spatial field is applied to the differential equation to study the instability due to flutter and divergence. The finite difference method in both spatial and temporal field is used in the analysis of a nonlinear partial differential equation to detect bifurcations and chaos of a nonlinear forced vibration of the system. Numerical results show that, with the increasing axially moving speed, the increasing excitation amplitude, and the decreasing viscosity coefficient, the equilibrium loses its stability and bifurcates into periodic motion, and then the periodic motion becomes chaotic motion by period-doubling bifurcation.

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Section: Introductionmentioning

confidence: 99%

Dynamical analysis of axially moving plate by finite difference method

et al. 2011

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“…When the width of the object is appreciable however, it is often better to employ 2D models. Although there have been several 2D models of elastic moving objects using membrane and plate theories [11][12][13][14][15][16][17][18][19][20][21], the 2D modeling of viscoelastic moving objects is limited to the work of Marynowski [22].…”

Section: Introductionmentioning

confidence: 99%

Exact free vibration analysis of axially moving viscoelastic plates

Hatami

Ronagh

Azhari

2008

Computers & Structures

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“…Due to the applications of high-speed moving structures in aeronautical and aerospace engineering, an investigation on the buckling stability of these structures is significant to prevent excessive drag caused by moving inertial force. Several studies have examined the dynamic and stability responses of moving structures [2][3][4][5][6][7][8][9][10][11]. For instance, the stability of thin isotropic plates moving with a high axial speed was presented by Luo and Hamidzadeh [9].…”

Section: Introductionmentioning

confidence: 99%

“…Several studies have examined the dynamic and stability responses of moving structures [2][3][4][5][6][7][8][9][10][11]. For instance, the stability of thin isotropic plates moving with a high axial speed was presented by Luo and Hamidzadeh [9]. Asadi et al [10] examined the dynamic response of a moving functionally graded (FG) plate with an internal rigid line support in various thermal conditions.…”

Section: Introductionmentioning

confidence: 99%