Nonlinear Semianalytical Finite-Element Algorithm for the Analysis of Internal Resonance Conditions in Complex Waveguides

Nucera, Claudio; Scalea, Francesco Lanza di

doi:10.1061/(asce)em.1943-7889.0000670

Cited by 22 publications

(10 citation statements)

References 48 publications

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“…Ahead of the designing of the prototype, numerical models were developed for the nonlinear guided wave propagating in a rail [11].The models were developed using the higher-order strain energy terms that occur in a constrained structure exposed to thermal changes [12]. Guided wave modes that are confined to the rail's web were selected after coupling guide wave propagation theory in rails and the nonlinear models.…”

Section: Nonlinear Guided Wave For Rail Nt Measurementmentioning

confidence: 99%

Field testing of prototype systems for the non-destructive measurement of the neutral temperature of railroad tracks

et al. 2014

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In both high speed and freight rail systems, the modern construction method is Continuous Welded Rail (CWR). The purpose of the CWR method is to eliminate joints in order to reduce the maintenance costs for both the rails and the rolling stock. However the elimination of the joints increases the risk of rail breakage in cold weather and buckling in hot weather. In order to predict the temperature at which the rail will break or buckle, it is critical to have knowledge of the temperature at which the rail is stress free, namely, the Rail Neutral Temperature (Rail-NT).The University of California at San Diego has developed an innovative technique based on non-linear ultrasonic guided waves, under FRA research and development grants for the non-destructive measurement of the neutral temperature of railroad tracks. Through the licensing of this technology from the UCSD and under the sponsorship of the FRA Office of Research and Development, a field deployable prototype system has been developed and recently field tested at cooperating railroad properties. Three prototype systems have been deployed to the Union Pacific (UP), Burlington Northern Santa Fe (BNSF), and AMTRAK railroads for field testing and related data acquisition for a comprehensive evaluation of the system, with respect to both performance and economy of operation. The results from these tests have been very encouraging. Based on the lessons learned from these field tests and the feedback from the railroads, it is planned develop a compact 2 nd generation Rail-NT system to foster deployment and furtherance of FRA R&D grant purpose of potential contribution to the agency mission of US railroad safety. In this paper, the results of the field tests with the railroads in summer of 2013 are reported.

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Section: Nonlinear Guided Wave For Rail Nt Measurementmentioning

confidence: 99%

Field testing of prototype systems for the non-destructive measurement of the neutral temperature of railroad tracks

et al. 2014

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“…27 However, most studies on nonlinear ultrasonic guided waves are limited to simple geometries, such as plates, rods or pipes. More recently, nonlinear SAFE algorithms were proposed 28,29 for waveguides with arbitrary cross section to analyze modal properties and nonlinear internal resonant conditions, for the application to measure the neutral temperature in railway structures. 30 It is known that experimental investigation of nonlinear guided waves is very challenging due to weak harmonic waves, noise, and the system nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections

Zuo

Zhou²,

Fan

2016

AIP Advances

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Nonlinear guided waves have been investigated widely in simple geometries, such as plates, pipe and shells, where analytical solutions have been developed. This paper extends the application of nonlinear guided waves to waveguides with arbitrary cross sections. The criteria for the existence of nonlinear guided waves were summarized based on the finite deformation theory and nonlinear material properties. Numerical models were developed for the analysis of nonlinear guided waves in complex geometries, including nonlinear Semi-Analytical Finite Element (SAFE) method to identify internal resonant modes in complex waveguides, and Finite Element (FE) models to simulate the nonlinear wave propagation at resonant frequencies. Two examples, an aluminum plate and a steel rectangular bar, were studied using the proposed numerical model, demonstrating the existence of nonlinear guided waves in such structures and the energy transfer from primary to secondary modes.

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“…Nonlinear constitutive model for axisymmetric bending of annular graphene-like nanoplates with gradient elasticity enhancement effects is considered in reference [18]. In reference [19], nonlinear semianalytical finite-element algorithm for the analysis of internal resonance conditions in complex wave guides is considered. Linear stress waves in elastic medium for infinitesimal deformation linear elasticity have been studied by Surana et al [20].…”

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confidence: 99%

Nonlinear Waves in Solid Continua with Finite Deformation

Surana¹,

Knight²,

Reddy³

2015

AJCM

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This work considers initiation of nonlinear waves, their propagation, reflection, and their interactions in thermoelastic solids and thermoviscoelastic solids with and without memory. The conservation and balance laws constituting the mathematical models as well as the constitutive theories are derived for finite deformation and finite strain using second Piola-Kirchoff stress tensor and Green's strain tensor and their material derivatives [1]. Fourier heat conduction law with constant conductivity is used as the constitutive theory for heat vector. Numerical studies are performed using space-time variationally consistent finite element formulations derived using space-time residual functionals and the non-linear equations resulting from the first variation of the residual functional are solved using Newton's Linear Method with line search. Space-time local approximations are considered in higher order scalar product spaces that permit desired order of global differentiability in space and time. Computed results for non-linear wave propagation, reflection, and interaction are compared with linear wave propagation to demonstrate significant differences between the two, the importance of the nonlinear wave propagation over linear wave propagation as well as to illustrate the meritorious features of the mathematical models and the space-time variationally consistent space-time finite element process with time marching in obtaining the numerical solutions of the evolutions.

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Nonlinear Semianalytical Finite-Element Algorithm for the Analysis of Internal Resonance Conditions in Complex Waveguides

Cited by 22 publications

References 48 publications

Field testing of prototype systems for the non-destructive measurement of the neutral temperature of railroad tracks

Field testing of prototype systems for the non-destructive measurement of the neutral temperature of railroad tracks

Numerical studies of nonlinear ultrasonic guided waves in uniform waveguides with arbitrary cross sections

Nonlinear Waves in Solid Continua with Finite Deformation

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