Nonlinear dynamic behavior analysis of closed-loop self-excited crankshaft model using improved Newmark-β method

Ma, Kai; Du, Jingtao; Liu, Yang

doi:10.1007/s11071-022-08100-3

Cited by 5 publications

(2 citation statements)

References 38 publications

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“…The diagram describing the direct integration algorithm Newmark-beta [53][54][55][56] is given as Figure 3.…”

Section: Finite Element Formulationmentioning

confidence: 99%

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A novel finite element model in nonlocal transient analysis of viscoelastic functionally graded porous nanoplates resting on viscoelastic medium

Giang,

Thuy,

Van

2023

Math Methods in App Sciences

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The transient analysis of viscoelastic functionally graded porous (FGP) nanoplate resting on the viscoelastic medium using the finite element method (FEM) is studied in this work. The nanoplate is made from a material that varies in thickness and has mechanical qualities that change depending on the porosity. The whole of the mechanical system rests on a Pasternak medium, which is modeled in accordance with a Kelvin–Voigt viscoelastic model. The general plate motion balance equations are developed by the application of the higher‐order shear plate theory (HSDT) with a new inverse hyperbolic function, the nonlocal hypothesis, and Hamilton's principle. In order to develop a four‐node quadrilateral element, Lagrangian and Hermitian interpolation functions are used. These functions are employed to define the main variables that correspond to the in‐plane displacements and the transverse displacements, respectively. The direct integration method developed by Newmark is used to calculate the dynamic responses of the plate. The outcomes that were anticipated by the essay have been confirmed by reputable sources. The dynamic response characteristics of a viscoelastic FGP nanoplates that is placed on a viscoelastic medium are explored, and a number of factors that influence these features are discovered and explained.

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“…The diagram describing the direct integration algorithm Newmark-beta [53][54][55][56] is given as Figure 3.…”

Section: Finite Element Formulationmentioning

confidence: 99%

“… Repeat the loop until the finish. The diagram describing the direct integration algorithm Newmark‐beta [53–56] is given as Figure 3.…”

Section: Theoretical Formulationmentioning

confidence: 99%

A novel finite element model in nonlocal transient analysis of viscoelastic functionally graded porous nanoplates resting on viscoelastic medium

Giang,

Thuy,

Van

2023

Math Methods in App Sciences

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The nonlinear behavior of prestressed tuned mass damper for vibration control of wind turbine towers

et al. 2023

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Research on the dynamic characteristics of multi-cylinder crankshaft considering crack and engine variable conditions

Du,

Ma,

Liu

2024

Nonlinear Dyn

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Nonlinear dynamic behavior analysis of closed-loop self-excited crankshaft model using improved Newmark-β method

Cited by 5 publications

References 38 publications

A novel finite element model in nonlocal transient analysis of viscoelastic functionally graded porous nanoplates resting on viscoelastic medium

A novel finite element model in nonlocal transient analysis of viscoelastic functionally graded porous nanoplates resting on viscoelastic medium

The nonlinear behavior of prestressed tuned mass damper for vibration control of wind turbine towers

Research on the dynamic characteristics of multi-cylinder crankshaft considering crack and engine variable conditions

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