Analysis of Newmark Explicit Integration Method for Nonlinear Systems
AbstractNumerical properties of the Newmark explicit method in the solution of nonlinear systems are explored. It is found that the upper stability limit is no longer equal to 2 for the Newmark explicit method for nonlinear systems. In fact, it is enlarged for stiffness softening and is reduced for stiffness hardening.
S.-Y. Chang, Y.-C. Huang, C.-H. Wang
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Analysis of shock calculation based on Newmark integral method
Abstract In this paper, the time domain method for the calculation of impact resistance is studied. Firstly, the central difference method and the Newmark integration method based on the analysis of the linear equations and the solution of the nonlinear equations are educed. Then, the advantages and disadvantages of these two methods are
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Improving the accuracy of the Newmark method through backward error analysis
Abstract We use backward error analysis for differential equations to obtain modified or distorted equations describing the behaviour of the Newmark scheme applied to the transient structural dynamics equation. Based on the newly derived distorted equations, we give expressions for the numerically or algorithmically distorted stiffness and ...
Donát M. Takács, Tamás Fülöp
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3 DOF response data from Newmark's method
3 DOF building response data subjected to earthquake using Newmark's method UCLA building response data in NS, EW and Torsional direction during Parkfield 2004 ...
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Buckling of Multi-Span Frames with Newmark Method
The Newmark’s numerical method of computing deflections, moments and buckling loads of isolated columns is extended for the analysis of elastic buckling loads and buckling modes of prismatic and non-prismatic single story, multi-span frames with combinations of hinged and fixed columns.
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A METHOD FOR PHASE CORRECTION OF NEWMARK'S β-METHOD
MIZUTA, Yoji +2 more
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Multiplexed gene expression analysis in dissociated and intact planarian flatworm tissues using in situ hybridization chain reaction. [PDF]
Dreier F +4 more
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Periodic Motion Characteristics of a Magnetic Suspended Dual-Rotor System with Nonlinear Bearing Effects. [PDF]
Liu M +5 more
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Investigation on the influence of unbalanced shaft component in gearbox on displacement using the Newmark-β method. [PDF]
Tran TL, Nguyen VP, Le CC, Dang TN.
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Evaluation of coseismic landslide susceptibility by combining Newmark model and XGBoost algorithm. [PDF]
Zhang C +5 more
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