Wave Propagation in a Thick Cylindrical Bar Due to Longitudinal Impact

Valeš, František; Moravka, Stefan; Brepta, Rudolf; Červ, Jan

doi:10.1299/jsmea1993.39.1_60

Cited by 14 publications

(31 citation statements)

References 12 publications

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“…The strain gauge stations are 200 and 400 mm away from the joint on each bar. The strain gauge groups are arranged at least five times side length away from the bar end to eliminate the lateral inertia effect (Vales et al 1996;Meng and Li 2003), and as close to the joint as possible to minimize the influence of the material damping, in order to provide good measurements for wave separation analysis.…”

Section: Experimental Studymentioning

confidence: 99%

Loading Rate Dependency of Dynamic Responses of Rock Joints at Low Loading Rate

Zhao

2011

Rock Mech Rock Eng

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Section: Experimental Studymentioning

confidence: 99%

Loading Rate Dependency of Dynamic Responses of Rock Joints at Low Loading Rate

Zhao

2011

Rock Mech Rock Eng

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“…The second 2D impact axisymmetric problem, which includes simultaneous propagation of longitudinal and transverse elastic waves and for which an approximate analytical solution is known from the literature [21], will be used for -verification of the applicability of the new formula for the minimum necessary amount of numerical dissipation derived in the 1D case for the multi-dimensional case. In contrast to the 1D case with propagation of only longitudinal waves, simultaneous propagation of longitudinal and transverse elastic waves occurs in the multi-dimensional case; -comparison of effectiveness of linear and quadratic finite elements for wave propagation problems in the multidimensional case; -comparison of effectiveness of quadrilateral and triangular finite elements for wave propagation problems in the multi-dimensional case; -study of the effect of the aspect ratio of 2D quadrilateral finite elements on the accuracy of numerical results for wave propagation problems.…”

Section: Numerical Modelingmentioning

confidence: 99%

“…Initial displacements and velocities are zero; i.e., u(r, z, 0) = v(r, z, 0) = 0. To simplify the comparison of a numerical solution of the problem with the approximation of the analytical solution derived in [21] by means of the Laplace transform, the following dimensionless coordinates (r andz), the dimensionless timet…”

Section: Impact Of An Elastic Cylinder Against a Rigid Wall (The Axismentioning

confidence: 99%

Benchmark problems for wave propagation in elastic materials

et al. 2008

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The application of the new numerical approach for elastodynamics problems developed in our previous paper and based on the new solution strategy and the new time-integration methods is considered for 1D and 2D axisymmetric impact problems. It is not easy to solve these problems accurately because the exact solutions of the corresponding semi-discrete elastodynamics problems contain a large number of spurious high-frequency oscillations. We use the 1D impact problem for the calibration of a new analytical expression describing the minimum amount of numerical dissipation necessary for the new time-integration method used for filtering spurious oscillations. Then, we show that the new numerical approach for elastodynamics along with the new expression for numerical dissipation for the first time yield accurate and non-oscillatory solutions of the considered impact problems. The comparison of effectiveness of linear and quadratic elements as well as rectangular and

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“…The elastic modulus of the rod material is E, hence its one-dimensional (longitudinal) wave propagation speed is c 0 = √ E/ρ. For the sake of simplicity the mechanical model is one-dimensional, thus neglecting transversal wave propagation in the rod that otherwise would significantly complicate the problem as shown by the numerical study performed by Danzer et al [7], the references in [3] or the publications [8][9][10][11].…”

Section: Geometrical Setting and Model Assumptionsmentioning

confidence: 99%

Impact of an elastic rod on a deformable barrier: analytical and numerical investigations on models of a valve and a rod-shaped stamping tool

et al. 2009

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The longitudinal motion of an elastic rod is studied for the case that the rod is suddenly elastically fixed at one end and is hit by a mass at its other end. This configuration represents real settings e.g. as a valve impacts an elastic valve-seat or as a stamping device used in forging is hit by a large mass. The solution of the problem is formulated in the Laplace transformation space. The inverse transformation into the time domain is performed by engaging the so-called Laguerre polynomial technique. This method allows to calculate exact solutions for finite times from a finite number of series elements. Rigorous mathematical proofs not established up to now are given with respect to the convergence of the series encountered and the validity of exchanging the order of inversion of the Laplace transformation and summation of the established series. For comparison also a numerical solution of the problem is presented. An analysis of the energy transfer between rod, impacting mass and elastic barrier elucidates the marked influence of the deformability of the elastic barrier on the stress state in the rod.

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Wave Propagation in a Thick Cylindrical Bar Due to Longitudinal Impact

Cited by 14 publications

References 12 publications

Loading Rate Dependency of Dynamic Responses of Rock Joints at Low Loading Rate

Loading Rate Dependency of Dynamic Responses of Rock Joints at Low Loading Rate

Benchmark problems for wave propagation in elastic materials

Impact of an elastic rod on a deformable barrier: analytical and numerical investigations on models of a valve and a rod-shaped stamping tool

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