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Journal articles on the topic 'Elastic rods and waves'

Author: Grafiati

Published: 10 December 2022

Last updated: 31 July 2025

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1

Coleman, Bernard D., and Ellis H. Dill. "Flexure waves in elastic rods." Journal of the Acoustical Society of America 91, no. 5 (1992): 2663–73. http://dx.doi.org/10.1121/1.402974.

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2

Lenells, Jonatan. "Traveling waves in compressible elastic rods." Discrete & Continuous Dynamical Systems - B 6, no. 1 (2006): 151–67. http://dx.doi.org/10.3934/dcdsb.2006.6.151.

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3

Borshch, E. I., E. V. Vashchilina, and V. I. Gulyaev. "Helical traveling waves in elastic rods." Mechanics of Solids 44, no. 2 (2009): 288–93. http://dx.doi.org/10.3103/s0025654409020149.

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4

Đuričković, Bojan, Alain Goriely, and Giuseppe Saccomandi. "Compact waves on planar elastic rods." International Journal of Non-Linear Mechanics 44, no. 5 (2009): 538–44. http://dx.doi.org/10.1016/j.ijnonlinmec.2008.10.007.

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5

Coleman, Bernard D., and Daniel C. Newman. "On waves in slender elastic rods." Archive for Rational Mechanics and Analysis 109, no. 1 (1990): 39–61. http://dx.doi.org/10.1007/bf00377978.

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6

Zdeshchyts, A. V., and V. M. Zdeshchyts. "Propagation of elastic waves in cross-sectionally heterogeneous rods." IOP Conference Series: Earth and Environmental Science 1415, no. 1 (2024): 012081. https://doi.org/10.1088/1755-1315/1415/1/012081.

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Abstract The article is devoted to measuring the propagation speed of elastic waves in metal rods of variable cross-section. The paper examines the dependence of the speed measure of propagation of elastic waves on the geometric and physical characteristics of the rods. The research methods are based on the use of known statements of the impact theory during the collision of a ball with the end of a metal rod. Solid rods, stepped rods, and rods with axisymmetric holes of different depths were experimentally studied. A piezo sensor connected to a digital oscilloscope was used to record pressure

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7

Thurston, R. N. "Elastic waves in rods and optical fibers." Journal of the Acoustical Society of America 89, no. 4B (1991): 1901. http://dx.doi.org/10.1121/1.2029441.

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8

Soerensen, M. P., P. L. Christiansen, P. S. Lomdahl, and O. Skovgaard. "Solitary waves on nonlinear elastic rods. II." Journal of the Acoustical Society of America 81, no. 6 (1987): 1718–22. http://dx.doi.org/10.1121/1.394786.

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9

Thurston, R. N. "Elastic waves in rods and optical fibers." Journal of Sound and Vibration 159, no. 3 (1992): 441–67. http://dx.doi.org/10.1016/0022-460x(92)90752-j.

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10

Antman, Stuart S., and Gregory M. Crosswhite. "Planar Travelling Waves in Incompressible Elastic Rods." Methods and Applications of Analysis 11, no. 3 (2004): 431–46. http://dx.doi.org/10.4310/maa.2004.v11.n3.a13.

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11

Kulikovskii, A. G., and A. P. Chugainova. "Longitudinal–Torsional Waves in Nonlinear Elastic Rods." Proceedings of the Steklov Institute of Mathematics 322, no. 1 (2023): 151–60. http://dx.doi.org/10.1134/s0081543823040132.

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12

Hasan, M. Arif, Lazaro Calderin, Trevor Lata, Pierre Lucas, Keith Runge, and Pierre A. Deymier. "Directional Elastic Pseudospin and Nonseparability of Directional and Spatial Degrees of Freedom in Parallel Arrays of Coupled Waveguides." Applied Sciences 10, no. 9 (2020): 3202. http://dx.doi.org/10.3390/app10093202.

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We experimentally and numerically investigated elastic waves in parallel arrays of elastically coupled one-dimensional acoustic waveguides composed of aluminum rods coupled along their length with epoxy. The elastic waves in each waveguide take the form of superpositions of states in the space of direction of propagation. The direction of propagation degrees of freedom is analogous to the polarization of a quantum spin; hence, these elastic waves behave as pseudospins. The amplitude in the different rods of a coupled array of waveguides (i.e., the spatial mode of the waveguide array) refer to

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13

Krishnaswamy, Shankar, and R. C. Batra. "On Extensional Oscillations and Waves in Elastic Rods." Mathematics and Mechanics of Solids 3, no. 3 (1998): 277–95. http://dx.doi.org/10.1177/108128659800300302.

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14

Cetin, Hakan, and Goksenin Yaralioglu. "Coriolis Effect on elastic waves propagating in rods." Journal of Sound and Vibration 485 (October 2020): 115545. http://dx.doi.org/10.1016/j.jsv.2020.115545.

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15

Martin, P. A. "On flexural waves in cylindrically anisotropic elastic rods." International Journal of Solids and Structures 42, no. 8 (2005): 2161–79. http://dx.doi.org/10.1016/j.ijsolstr.2004.09.015.

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16

Jian-gang, Guo, Zhou Li-jun, and Zhang Shan-yuan. "Geometrical nonlinear waves in finite deformation elastic rods." Applied Mathematics and Mechanics 26, no. 5 (2005): 667–74. http://dx.doi.org/10.1007/bf02466342.

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17

Nielsen, R. B., and S. V. Sorokin. "Periodicity effects of axial waves in elastic compound rods." Journal of Sound and Vibration 353 (September 2015): 135–49. http://dx.doi.org/10.1016/j.jsv.2015.05.013.

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18

de Luna, Manuel Quezada, Bojan Đuričković, and Alain Goriely. "Non-linear waves in heterogeneous elastic rods via homogenization." International Journal of Non-Linear Mechanics 47, no. 2 (2012): 197–205. http://dx.doi.org/10.1016/j.ijnonlinmec.2011.05.005.

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19

Beliaev, Alexei, and Andrej Il'ichev. "Conditional stability of solitary waves propagating in elastic rods." Physica D: Nonlinear Phenomena 90, no. 1-2 (1996): 107–18. http://dx.doi.org/10.1016/0167-2789(95)00219-7.

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20

Wei, Dongming, Piotr Skrzypacz, and Xijun Yu. "Nonlinear Waves in Rods and Beams of Power-Law Materials." Journal of Applied Mathematics 2017 (2017): 1–6. http://dx.doi.org/10.1155/2017/2095425.

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Some novel traveling waves and special solutions to the 1D nonlinear dynamic equations of rod and beam of power-law materials are found in closed forms. The traveling solutions represent waves of high elevation that propagates without change of forms in time. These waves resemble the usual kink waves except that they do not possess bounded elevations. The special solutions satisfying certain boundary and initial conditions are presented to demonstrate the nonlinear behavior of the materials. This note demonstrates the apparent distinctions between linear elastic and nonlinear plastic waves.

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21

Krishnaswamy, Shankar, and R. C. Batra. "Addendum to "On Extensional Oscillations and Waves in Elastic Rods"." Mathematics and Mechanics of Solids 3, no. 3 (1998): 297–301. http://dx.doi.org/10.1177/108128659800300303.

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22

Ablowitz, M. J., V. Barone, S. De Lillo, and M. Sommacal. "Traveling Waves in Elastic Rods with Arbitrary Curvature and Torsion." Journal of Nonlinear Science 22, no. 6 (2012): 1013–40. http://dx.doi.org/10.1007/s00332-012-9136-3.

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23

Xie, Suteng, and Yan Ru. "Propagation and attenuation of stress waves in heterogeneous elastic rods." Journal of Physics: Conference Series 2553, no. 1 (2023): 012059. http://dx.doi.org/10.1088/1742-6596/2553/1/012059.

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Abstract In this paper, the propagation and attenuation of stress waves induced by an integrable external load in an elastic rod with multiple inclusions are investigated. The traveling wave method is suggested for obtaining the reflection coefficient, transmission coefficient, and attenuation coefficient of the wave propagating from one media to another. Furthermore, the effects of wavelength and the size of inclusion on elastic wave propagation are calculated by the finite element method. The results show that the theoretical solution is fitted well with the finite element numerical results.

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24

Chovnyuk, Y., A. Priymachenko, Р. Cherednichenko, O. Ostapushchenko, and I. Kravchenko. "ELASTIC WAVEFORMS ANALYSIS IN THE LOAD LIFTING CRANES ROPES." Modern construction and architecture, no. 4 (June 28, 2023): 23–32. http://dx.doi.org/10.31650/2786-6696-2023-4-23-32.

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In the article the boundary value problem on the elastic longitudinal waves motion in the load lifting cranes and mine mechanisms variable length ropes is considered. Solutions of the Cauchy problem, which describe longitudinal oscillations propagation in the ropes (flexible suspensions) as in areas with moving boarders, are found. Displacements and stresses dynamic fields in variable length steel ropes of the specified load lifting mechanisms are investigated. Usually the ropes are balanced, and the main rope carries concentrated stress which before the systems movement was at the main ropes

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25

Stepanishen, Peter R. "Transient longitudinal waves on impact excited viscoelastic rods with lateral inertia." Journal of the Acoustical Society of America 153, no. 2 (2023): 1147–62. http://dx.doi.org/10.1121/10.0017140.

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An analytical and numerical Fourier transform based approach is presented to investigate the space-time dependence for the longitudinal velocity resulting from the longitudinal impact force excitation of viscoelastic rods with lateral inertia. A one-dimensional dissipative Rayleigh-Love wave equation including material memory, dissipation, and/or transverse effects due to Poisson coupling is developed from a generic model of the time dependent stress strain relationship for the rod material. A Gaussian signal with a suitable time scale is used to represent the hammer impact forces. Fourier tra

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26

Gau, W. H., and A. A. Shabana. "Use of the Finite Element Method in the Analysis of Impact-Induced Longitudinal Waves in Constrained Elastic Systems." Journal of Mechanical Design 117, no. 2A (1995): 336–42. http://dx.doi.org/10.1115/1.2826144.

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In rotating elastic rods, dispersions occurs as the result of the finite rotations. By using Fourier method, it can be shown that the impact-induced longitudinal waves no longer travel with the same phase velocities. Furthermore, the speeds of the wave propagation are independent of the impact conditions including the value of the coefficient of restitution. In this investigation the use of the finite element method in the analysis of impact-induced longitudinal waves in rotating elastic rods is examined. The equations of motion are developed using the principle of virtual work in dynamics. Ju

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27

Li, Matthew, Dmitrii Shymkiv, Ying Wu, and Arkadii Krokhin. "Solid-solid phononic crystal with strongly time-modulated elastic constituents." Journal of the Acoustical Society of America 157, no. 6 (2025): 4252–61. https://doi.org/10.1121/10.0036846.

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A spatially periodic structure of heterogeneous elastic rods that periodically oscillate along their axes is proposed as a time-modulated phononic crystal. Each rod is a bi-material cylinder, consisting of periodically distributed slices with significantly different elastic properties. The rods are imbedded in an elastic matrix. Using a plane wave expansion, it is shown that the dispersion equation for sound waves is obtained from the solutions of a quadratic eigenvalue problem over the eigenfrequency ω. The coefficients of the corresponding quadratic polynomial are represented by infinite mat

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28

Zheng, J., P. Xu, Q. Fu, R. P. Taleyarkhan, and S. H. Kim. "Elastic stress waves of cylindrical rods subjected to rapid energy deposition." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 4 (2004): 359–68. http://dx.doi.org/10.1177/095440620421800401.

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Rapid energy deposition into targets and beam absorbers in a high-energy accelerator leads to a temperature rise at an enormous rate, giving rise to thermally induced stress waves. Understanding and predicting the resulting stresses are crucial for robust design and safe operation of such devices. In this paper, closed-form expressions for the induced stresses in cylindrical rods subjected to rapid partial energy deposition have been directly derived; they are then used to estimate the highest stress of long cylindrical absorbers and to test the accuracy of thermal shock simulation using finit

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29

Constantin, Adrian, and Walter A. Strauss. "Stability of a class of solitary waves in compressible elastic rods." Physics Letters A 270, no. 3-4 (2000): 140–48. http://dx.doi.org/10.1016/s0375-9601(00)00255-3.

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30

Garbuzov, F. E., K. R. Khusnutdinova, and I. V. Semenova. "On Boussinesq-type models for long longitudinal waves in elastic rods." Wave Motion 88 (May 2019): 129–43. http://dx.doi.org/10.1016/j.wavemoti.2019.02.004.

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31

de Billy, M. "Crossing of acoustic envelope solitary waves in homogeneous elastic rods: Experiments." Ultrasonics 72 (December 2016): 42–46. http://dx.doi.org/10.1016/j.ultras.2016.07.009.

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32

Coleman, B. D., and J. M. Xu. "On the interaction of solitary waves of flexure in elastic rods." Acta Mechanica 110, no. 1-4 (1995): 173–82. http://dx.doi.org/10.1007/bf01215423.

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33

Duan, Kai, De Shun Liu, Chang Yue Sun, and Zhi Gao Yang. "Study on Method and Experiment of Characteristics Impedance Calculation of Elastic Bars Based on Incident Wave and Reflected Wave." Advanced Materials Research 518-523 (May 2012): 3784–91. http://dx.doi.org/10.4028/www.scientific.net/amr.518-523.3784.

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Characteristics impedance is a very important physics parameter for many applications in rock fragmenting and percussive drilling. When the shape of the elastic bar is very complicate, it is difficult to calculate the characteristics impedance of the elastic bar with its definition. A method which uses the incident wave and reflected wave to calculate the characteristics impedance of elastic rods is presented. Firstly, the relationship of the incident wave, reflected wave and the characteristics impedance of elastic rods is studied on the basis of the reflection and transmission laws of elasti

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34

Hayek, Alaa, Serge Nicaise, Zaynab Salloum, and Ali Wehbe. "Exponential and polynomial stability results for networks of elastic and thermo-elastic rods." Discrete & Continuous Dynamical Systems - S 15, no. 5 (2022): 1183. http://dx.doi.org/10.3934/dcdss.2021142.

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<p style='text-indent:20px;'>In this paper, we investigate a network of elastic and thermo-elastic materials. On each thermo-elastic edge, we consider two coupled wave equations such that one of them is damped via a coupling with a heat equation. On each elastic edge (undamped), we consider two coupled conservative wave equations. Under some conditions, we prove that the thermal damping is enough to stabilize the whole system. If the two waves propagate with the same speed on each thermo-elastic edge, we show that the energy of the system decays exponentially. Otherwise, a polynomial ene

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35

Miranda, Edson J. P. de, Edilson D. Nobrega, Leopoldo P. R. de Oliveira, and José M. C. Dos Santos. "Elastic wave propagation in metamaterial rods with periodic shunted piezo-patches." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 2 (2021): 4303–11. http://dx.doi.org/10.3397/in-2021-2657.

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The wave propagation attenuation in low frequencies by using piezoelectric elastic metamaterials has been developed in recent years. These piezoelectric structures exhibit abnormal properties, different from those found in nature, through the artificial design of the topology or exploring the shunt circuit parameters. In this study, the wave propagation in a 1-D elastic metamaterial rod with periodic arrays of shunted piezo-patches is investigated. This piezoelectric metamaterial rod is capable of filtering the propagation of longitudinal elastic waves over a specified range of frequency, call

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36

Wang, Zijian, Jianxun Liu, Chen Fang, Kui Wang, Lianbo Wang, and Zhishen Wu. "Nondestructive measurements of elastic constants of thin rods based on guided waves." Mechanical Systems and Signal Processing 170 (May 2022): 108842. http://dx.doi.org/10.1016/j.ymssp.2022.108842.

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37

Saccomandi, Giuseppe. "Elastic rods, Weierstrass’ theory and special travelling waves solutions with compact support." International Journal of Non-Linear Mechanics 39, no. 2 (2004): 331–39. http://dx.doi.org/10.1016/s0020-7462(02)00192-0.

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38

Bayanov, E. V., and A. I. Gulidov. "Propagation of elastic waves in circular rods homogeneous over the cross section." Journal of Applied Mechanics and Technical Physics 52, no. 5 (2011): 808–14. http://dx.doi.org/10.1134/s0021894411050166.

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39

Dai, H. H., and Y. Huo. "Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods." Acta Mechanica 157, no. 1-4 (2002): 97–112. http://dx.doi.org/10.1007/bf01182157.

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40

Zhang, Shan-yuan, and Zhi-fang Liu. "Three kinds of nonlinear dispersive waves in elastic rods with finite deformation." Applied Mathematics and Mechanics 29, no. 7 (2008): 909–17. http://dx.doi.org/10.1007/s10483-008-0709-2.

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41

Liu, Xiling, Feng Xiong, Qin Xie, Xiukun Yang, Daolong Chen, and Shaofeng Wang. "Research on the Attenuation Characteristics of High-Frequency Elastic Waves in Rock-Like Material." Materials 15, no. 19 (2022): 6604. http://dx.doi.org/10.3390/ma15196604.

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In order to study the frequency-dependent attenuation characteristics of high-frequency elastic waves in rock-like materials, we conducted high-frequency elastic wave attenuation experiments on marble, granite, and red sandstone rods, and investigated the frequency dependence of the attenuation coefficient of high-frequency elastic waves and the frequency dependence of the attenuation of specific frequency components in elastic waves. The results show that, for the whole waveform packet of the elastic wave signal, the attenuation coefficient and the elastic wave frequency have an approximate p

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42

Kuznetsov, Sergey V. "Shock Wave Formation and Cloaking in Hyperelastic Rods." Applied Sciences 13, no. 8 (2023): 4740. http://dx.doi.org/10.3390/app13084740.

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The analysis of propagating an initially harmonic acoustic pulse in a semi-infinite hyperelastic rod obeying the Yeoh strain energy potential reveals attenuation with distance of the wave amplitudes caused by the elastic energy dissipation due to forming and propagation of the shock wave fronts and heat production. The observed attenuation of harmonic waves results in a broadband cloaking of fairly remote regions. The analysis is based on solving a nonlinear equation of motion by an explicit Lax–Wendroff time-difference scheme combined with the finite element discretization in the spatial doma

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43

KOBAYASHI, Hidetoshi, Naoki NUMA, Kinya OGAWA, Keitaro HORIKAWA, and Ken-ichi TANIGAKI. "An Attempt to Lengthen Duration of Elastic Waves Propagating in Connected Stepped Rods." Journal of the Society of Materials Science, Japan 67, no. 11 (2018): 957–63. http://dx.doi.org/10.2472/jsms.67.963.

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44

Kulikovskii, A. G., and A. P. Chugainova. "Discontinuity Structures of Solutions to Equations Describing Longitudinal–Torsional Waves in Elastic Rods." Doklady Physics 66, no. 4 (2021): 110–13. http://dx.doi.org/10.1134/s1028335821040017.

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45

TANAKA, Koichi, and Shigeiku ENOMOTO. "Dispersive waves along elastic rods subjected to local heating. (1st report. Analytical investigation)." Transactions of the Japan Society of Mechanical Engineers Series A 53, no. 496 (1987): 2313–17. http://dx.doi.org/10.1299/kikaia.53.2313.

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46

TANAKA, Koichi, Shigeiku ENOMOTO, Fujio ANDO, and Tomonori OHYA. "Dispersive waves along elastic rods subjected to local heating. (2nd report. Experimental investigation)." Transactions of the Japan Society of Mechanical Engineers Series A 53, no. 496 (1987): 2318–23. http://dx.doi.org/10.1299/kikaia.53.2318.

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47

Erofeev, V. I., and A. V. Leonteva. "Localized bending and longitudinal waves in rods interacting with external nonlinear elastic medium." Journal of Physics: Conference Series 1348 (December 2019): 012004. http://dx.doi.org/10.1088/1742-6596/1348/1/012004.

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48

Lundberg, B., J. Carlsson, and K. G. Sundin. "Analysis of elastic waves in non-uniform rods from two-point strain measurement." Journal of Sound and Vibration 137, no. 3 (1990): 483–93. http://dx.doi.org/10.1016/0022-460x(90)90813-f.

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49

Lu, Kuan, Yongjun Tian, Nansha Gao, Lizhou Li, Hongxia Lei, and Mingrang Yu. "Propagation of longitudinal waves in the broadband hybrid mechanism gradient elastic metamaterials rods." Applied Acoustics 171 (January 2021): 107571. http://dx.doi.org/10.1016/j.apacoust.2020.107571.

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50

GAMA, R. M. S. "A NON-LINEAR PROBLEM ARISING FROM THE DESCRIPTION OF THE WAVE PROPAGATION IN LINEAR ELASTIC RODS." Latin American Applied Research - An international journal 49, no. 1 (2019): 61–63. http://dx.doi.org/10.52292/j.laar.2019.286.

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In this work it is presented the modeling and the simulation of the dynamics of an elastic rod, taking into account the kinematic constraint arising from the Classical Continuum Mechanics. The simulation involves shock waves that consists of contact shocks when the kinematic constraint does not need to be imposed.

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