An explicit time integration scheme for the analysis of wave propagations

Noh, Gunwoo; Bathe, Klaus‐Jürgen

doi:10.1016/j.compstruc.2013.06.007

Cited by 235 publications

(124 citation statements)

References 37 publications

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“…The ANSYS finite element software was used to obtain wave propagation through the 2D geometry which includes an implicit algorithm with Newmark time integration method for solving the transient wave propagation. The model of elastic wave propagation is based on the assumption of linear elasticity and solution of the Navier equation of the elastic wave motion in matrix form [38][39][40][41][42][43][44]:…”

Section: Transmission Losses Dependence From Lap Joint Width and Opermentioning

confidence: 99%

Ultrasonic Guided Wave Propagation through Welded Lap Joints

Jankauskas

Mažeika

2016

Metals

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Abstract:The objective of the research presented here is the investigation of ultrasonic guided wave (UGW) propagation through the lap joint welded plates used in the construction of a storage tank floors. The investigations have been performed using numerical simulation by finite element method (FEM) and tested by measurement of the transmission losses of the guided waves transmitted through the welded lap joints. Propagation of the symmetric S 0 mode in the welded stainless steel plates in the cases of different lap joint overlap width, operation frequency, and additional plate bonding caused by corrosion were investigated. It was shown that the transmission losses of the S 0 mode can vary in the range of 2 dB to 8 dB depending on the ratio between lap joint width and wavelength. It was also demonstrated that additional bonding in the overlap zone caused by corrosion can essentially reduce transmission losses.

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Section: Transmission Losses Dependence From Lap Joint Width and Opermentioning

confidence: 99%

Ultrasonic Guided Wave Propagation through Welded Lap Joints

Jankauskas

Mažeika

2016

Metals

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“…Specifically, in the article we usedη = 67.42,k = 5,k B = 5/2, andk g = 50; the overbars are conveniently omitted. Simulations numerically integrate the discrete equation of motion, Equation (S15), for each cylinder in the 2D network using explicit time integration [14]. For the phase transformation, domain switching, and phase separation studies, periodic boundary conditions are enforced on all edges such that ϕ(x + ) = ϕ(x − ) for each double of periodically-paired cylinder locations (x − , x + ) (see Figure S4a).…”

Section: Numerical Simulationsmentioning

confidence: 99%

Atomimetic Mechanical Structures with Nonlinear Topological Domain Evolution Kinetics

Frazier

Kochmann

2017

Advanced Materials

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A mechanical metamaterial, a simple, periodic mechanical structure, is reported, which reproduces the nonlinear dynamic behavior of materials undergoing phase transitions and domain switching at the structural level. Tunable multistability is exploited to produce switching and transition phenomena whose kinetics are governed by the same Allen–Cahn law commonly used to describe material‐level, structural‐transition processes. The reported purely elastic mechanical system displays several key features commonly found in atomic‐ or mesoscale physics of solids. The rotating‐mass network shows qualitatively analogous features as, e.g., ferroic ceramics or phase‐transforming solids, and the discrete governing equation is shown to approach the phase field equation commonly used to simulate the above processes. This offers untapped opportunities for reproducing material‐level, dissipative and diffusive kinetic phenomena at the structural level, which, in turn, invites experimental realization and paves the road for new active, intelligent, or phase‐transforming mechanical metamaterials bringing small‐scale processes to the macroscopically observable scale.

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“…These are commercial FE packages that use an explicit time integra-593 tion scheme [261,[264][265][266][267][268][269][270][271][272][273][274] during the solution phase to solve for time-varying acceleration, velocity, and 594 displacement results.…”

Section: Explicit Dynamic Fe Models 590mentioning

confidence: 99%

“…Unlike the analytical 537 models, one can minimise the assumptions in FE methods and achieve comparatively better results; however, schemes. These schemes include implicit [256][257][258][259][260][261][262][263] and explicit [261,[264][265][266][267][268][269][270][271][272][273][274] time integration methods.…”

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confidence: 99%

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

Singh

Howard

Hansen

2015

Journal of Sound and Vibration

123

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This paper presents a review of literature concerned with the vibration modelling of rolling element bearings that have localised and extended defects. An overview is provided of contact fatigue, which initiates subsurface and surface fatigue spalling, and subsequently leads to reducing the useful life of rolling element bearings. A review is described of the development of all analytical and finite element (FE) models available in the literature for predicting the vibration response of rolling element bearings with localised and extended defects. Low-and high-frequency vibration signals are generated at the entry and exit of the rolling elements into and out of a bearing defect, respectively. The development of this finding is described along with analytical models to approximate these vibration signals. Algorithms to estimate the size of bearing defects are reviewed and their limitations are discussed. A summary of the literature is presented followed by recommendations for future research.

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An explicit time integration scheme for the analysis of wave propagations

Cited by 235 publications

References 37 publications

Ultrasonic Guided Wave Propagation through Welded Lap Joints

Ultrasonic Guided Wave Propagation through Welded Lap Joints

Atomimetic Mechanical Structures with Nonlinear Topological Domain Evolution Kinetics

An extensive review of vibration modelling of rolling element bearings with localised and extended defects

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