Insight to the Newmark Implicit Time Integration Method for Solving the Wave Propagation Problems

Rostami, Sobhan; Kamgar, Reza

doi:10.1007/s40996-021-00599-7

Cited by 11 publications

(4 citation statements)

References 24 publications

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“…As shown in Figs. 13,14,15,18,19,20,21,22,23,24,25,26, and Table 2, for all cases, as the recess number increases, the number of the shaft wave numbers n 1 = n p i ± 1 having main impact on the motion accuracy will decrease, and the motion accuracy will increase. As the rotation speed increases, the amplitude of the error motion resulted from the shaft roundness error having main impact will also increase.…”

Section: With the Elliptical And Trilobal Bushesmentioning

confidence: 91%

“…The problems of the nonlinear dynamic vibration are common in engineering such as the vibration of the tall buildings and the steel structures in earthquakes [12][13][14], the vibration of the airplane wings during flight, and the vibration of the submarine shells during navigation. Newmark implicit time integration method is one of the important methods for solving the dynamic analysis [15]. In order to simplify the calculation process, the nonlinear analysis is often simplified to linear analysis.…”

Section: Introductionmentioning

confidence: 99%

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Influence of rotation speed on motion accuracy of hydrostatic journal bearing

Zhang

Peng

2021

Nonlinear Dyn

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In order to study the influence of the rotation speed on the motion accuracy of the hydrostatic journal bearing, a new dynamic accuracy model is built to predict the error motion by solving the motion equation. In the calculation, the nonlinear film force is simplified by the differential equation and calculated by the Reynolds equation. Then, the averaging coefficient is calculated in the rotation speed range 0.6-3000 rpm when the bearing has the ideal, elliptical and trilobal bushes with the recess numbers 3, 4, 5, 6. The study shows that the motion accuracy mainly decreases as the rotation speed increases. The rotation speed has effect on the error motion amplitude but has no effect on the selective action of the shaft wave number affecting the error motion. The accuracy theory can be used to predict the error motion and choose the optimized recess number.

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Section: With the Elliptical And Trilobal Bushesmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Influence of rotation speed on motion accuracy of hydrostatic journal bearing

Zhang

Peng

2021

Nonlinear Dyn

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“…The final time stepping scheme is the Newmark method [18]. Here the parameter δ = 0.75 and α = 0.25 (0.5 + δ) 2 = 0.39 are proposed by the investigations of Rostami [19]:…”

Section: Time Discretization: θ Houbolt Linear Acceleration Wilson-θ ...mentioning

confidence: 99%

Numerical simulation of the thermal wave induced by a moving interfacial heat source with respect to Christov–Cattaneo's equation

Feike

Mundt

2023

Proc Appl Math and Mech

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The hyperbolic wave equation of heat conduction with respect to Christov's formulation is utilized with the Streamline-Upwind-Petrov-Galerkin method in space and the Θ, Houbolt, linear acceleration, Wilson-Θ and Newmark methods in time. The derivation of this equation and its matrix formulation are shown. A 2D transient finite element simulation of a generic asperity with an infinite line heat source in an interface, either as a heat flux density q or temperature distribution T , is performed for Ma th = [0.5; 1.0]. A sensitivity study is presented for the mentioned numerical schemes. The temperature jump in the solution is interpreted as an indicator for a thermal shock.

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“…4. This experiment will simulate the problem presented in (6) for which one has the analytical solution (9); however, we will restrict the time interval to T = 0.14 ms in order to avoid the spurious oscillations that appear due to the discontinuity in the solution [27,39];…”

Section: Test Casesmentioning

confidence: 99%