Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape—Part I: Numerical solution

Wang, Y.Q.; Guo, X.H.; Chang, Hao; Li, H.Y.

doi:10.1016/j.ijmecsci.2010.05.008

Cited by 61 publications

(15 citation statements)

References 15 publications

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“…Zhu and Parker employed the harmonic balance method, a type of analytic approximation method, to solve the problem of the nonlinear dynamics of the serpentine belt with a one-way clutch system. Wang [6][7][8] has presented numerical and analytical solutions of a nonlinear dynamic response of a rotating circular cylindrical shell. The analytic approximation method such as the averaging method, 8 the multiple-scale method, 9 is commonly used for a weakly nonlinear oscillation system, and this is not intended for the complex nonlinear problems.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Wrap-Spring One-Way Clutch in Spur Gear System and Its Parameters Effect

Cao¹,

Yan²,

Liu³

et al. 2017

IJAV

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A system with a three-degree-of-freedom (3-DOF) torsional dynamic model of a one-way clutch coupled with a spur gear pair is proposed. The one-way clutch is installed in front of the pinion and only allows the transmission of the torque from the engine. The torque is designed as a piecewise function while the inertia moment of the clutch is considered. The mesh time-varying stiffness of the teeth and gear backlash is seen nonlinear. In the analysis of the dynamic transmission error of the gear pair and twisted angle of the clutch, the torsional dynamic behaviour of the system is evaluated from 500 rpm to 45,000 rpm. To identify the effect of the parameter of a clutch on the dynamic response of the system, the effect of the torsion stiffness and damping ratio of the one-way clutch, including the inertia ratio of the clutch and pinion, is also analysed in this paper. The jump phenomenon, multi-jump occurrence, and subharmonic and harmonic resonance regions of the dynamic response system are observed.

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Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Wrap-Spring One-Way Clutch in Spur Gear System and Its Parameters Effect

Cao¹,

Yan²,

Liu³

et al. 2017

IJAV

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“…Kandasamy and Singh 24 presented the free vibration analysis of open skewed circular cylindrical shells supported only on selected segments of the straight edges by means of numerical methods. Wang et al 25,26 investigated the nonlinear dynamic response of a cantilever rotating circular cylindrical shell subjected to a harmonic excitation about one of the lowest natural frequency and the nonlinear dynamic response in forced oscillations of a third-order nonlinear partial differential system with the method of harmonic balance.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix

Tang

Sun

Yao

et al. 2016

Advances in Mechanical Engineering

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This article is concerned with free vibration analysis of open circular cylindrical shells with either the two straight edges or the two curved edges simply supported and the remaining two edges supported by arbitrary classical boundary conditions. An analytical solution of the traveling wave form along the simply supported edges and the standing wave form along the remaining two edges is obtained based on the Flügge thin shell theory. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is introduced to derive the equation of natural frequencies of the open circular cylindrical shell with various boundary conditions. Then, the golden section search algorithm is employed to obtain the natural frequencies of the open circular cylindrical shell. The calculation results are compared with those obtained by the finite element method and the method in available literature. Finally, the natural frequencies of the open circular cylindrical shell with various boundary conditions are calculated and the effects of boundary conditions on the natural frequencies are examined. The calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design thin structures with shell components.

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“…By applying Bolotin's first approximation, Liew [16] improved a Ritz method to investigate the dynamic stability of rotating cylinder suffer static and periodic axial loads. Wang [17][18] developed a new approximate analytical method to analyzed the nonlinear dynamic responses of rotating cylinders suffer from harmonic excitation. Based on a super-convergent finite element method and thin shell theory, Salahifara [19] investigated the steady state of circular cylindrical shell under general harmonic forces.…”

Section: Introductionmentioning

confidence: 99%

Traveling wave analysis of rotating cross-ply laminated cylindrical shells with arbitrary boundaries conditions via Rayleigh–Ritz method

Song

Zhai

Chen

et al. 2015

Composite Structures

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Nonlinear dynamic response of rotating circular cylindrical shells with precession of vibrating shape—Part I: Numerical solution

Cited by 61 publications

References 15 publications

Dynamic Analysis of a Wrap-Spring One-Way Clutch in Spur Gear System and Its Parameters Effect

Dynamic Analysis of a Wrap-Spring One-Way Clutch in Spur Gear System and Its Parameters Effect

Free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix

Traveling wave analysis of rotating cross-ply laminated cylindrical shells with arbitrary boundaries conditions via Rayleigh–Ritz method

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