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- W2947589968 abstract "The geometrically nonlinear crank (GNC) is a mechanism that is found in machines. Its vibration is governed by a differential equation with complex trigonometric nonlinearity. This paper presents two approximate analytical solutions for dynamic analysis of the GNC using a quasi-static cubication method (QCM) and the energy balance method (EBM). Comparison of the results of the QCM and EBM with standard numerical results shows that the QCM gives a better estimate of the GNC vibration and captures the qualitative response better than the EBM. The study shows that the GNC exhibits a strong nonlinear vibration response at all amplitudes. The dynamic analysis also reveals an asymptotic response in the relation between the frequency and a geometrical constant defined as the ratio of the crank length to the distance between the supports of the GNC." @default.
- W2947589968 created "2019-06-07" @default.
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- W2947589968 date "2019-05-30" @default.
- W2947589968 modified "2023-09-25" @default.
- W2947589968 title "Dynamic analysis of crank mechanism with complex trigonometric nonlinearity: a comparative study of approximate analytical methods" @default.
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- W2947589968 doi "https://doi.org/10.1007/s42452-019-0673-3" @default.
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