2021
DOI: 10.22190/fume210324045w
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Study on Vibration Response of a Non-Uniform Beam With Nonlinear Boundary Condition

Abstract: Forced vibration of non-uniform beam with nonlinear boundary condition is studied in this paper by proposing an iterative model combining Adomian Decomposition Method and modal analysis. An exponentially tapered beam with a hardening nonlinearity spring boundary is simulated as a case study. The model accuracy is proved by comparing iteration results and analysis solutions with linear and weakly nonlinear boundary conditions. Sin-weep nonlinear frequency spectrum is then obtained by the proposed model. The inf… Show more

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Cited by 6 publications
(3 citation statements)
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“…In practical engineering applications, different types of beam structures are widely used, because they can optimize weight and change strength by changing the cross-sectional area and material properties. Uniform and non-uniform beams, sandwich composite structures, and honeycomb structures are increasingly used in many fields of engineering and practically always used as structural elements [1,2].…”
Section: Introductionmentioning
confidence: 99%
“…In practical engineering applications, different types of beam structures are widely used, because they can optimize weight and change strength by changing the cross-sectional area and material properties. Uniform and non-uniform beams, sandwich composite structures, and honeycomb structures are increasingly used in many fields of engineering and practically always used as structural elements [1,2].…”
Section: Introductionmentioning
confidence: 99%
“…17 El-Dib studied the properties of complex Helmholtz-Duffing oscillator arising in the fluid mechanics. 18,19 More recently, there are many analytical and numerical methods to find an approximate solution of a nonlinear oscillator, such as the variational iteration method, [20][21][22] the homotopy perturbation, [23][24][25][26] the Hamiltonian approach, [27][28][29] Adomian decomposition method, 30 and others. 31,32 However, the previous research focused on searching for its approximate solution, and the pulldown instability and asymmetric period have not yet studied in literature.…”
Section: Introductionmentioning
confidence: 99%
“…This distortion in the images can lead to the lack of clarity that will later decrease the accuracy rate of the whole system. In order to significantly reduce or even prevent the motion blur effect in images, cameras are mounted on gimbals to suppress vibrations transmitted from the moving vehicle, as well as to allow the rotation of cameras and on-line control of their orientation so as to follow the tracks reliably [9]. Furthermore, the cameras are mounted in special housing, which is vibration isolated [10] to lower the level of camera vibrations.…”
Section: Introductionmentioning
confidence: 99%