Abstract
Wave generation by the back-and-forth motion of a rigid slider is discussed for three fundamental motions of the slider: (A) linear motion on a flat surface, (B) torsional rotation and (C) piston motion on the cylindrical surface. The induced frictional shear stress changes its direction due to the back-and-forth motion of the slider. It is found that the wave energy in the case of the cylindrical slider depends on the slider frequency. Further, the slider on the flat surface produces the largest wave energy among the three motions and the torsional rotation of the cylindrical slider produces the least energy. The time variation of the surface/interface displacement is also discussed and it is found that the displacement response does not synchronize with the motion of the cylindrical slider.
Similar content being viewed by others
References
Goloskokov, E.G., et al.: Vibration of cylindrical shell subjected to moving annular loads. Mech. Solids 11, 136–139 (1976)
Watanabe, K., Awano, H., Nishinari, K.: The resonant frequency of a reciprocating load on an elastic beam. J. Sound Vibr. 200(5), 621–629 (1997)
Watanabe, K.: Transient response of an elastic half space subjected to a reciprocating antiplane shear load. J. Appl. Mech., Trans. ASME, Ser. E 43(4), 625–629 (1976)
Watanabe, K.: Transient response of a layered elastic half space subjected to a reciprocating anti-plane shear load. Int. J. Solids Struct. 13, 63–74 (1977)
Watanabe, K.: A reciprocating antiplane shear load with harmonic vibration on the surface of an elastic half space. J. Sound Vibr. 129(1), 73–82 (1989)
Ohyoshi, T.: Dynamic stresses produced in an elastic half space by reciprocally moving surface loads. Trans. Jpn. Soc. Mech. Eng. 42, 3371–3377 (1976)
Ohyoshi, T.: The effect of a frictional shear on dynamic stresses produced in an elastic half space by a reciprocating load. ZAMM 58, 395–402 (1978)
Adams, G.G.: Self-excited oscillation of two elastic half-spaces sliding with a constant coefficient of friction. J. Appl. Mech., Trans. ASME, Ser. E 62, 867–872 (1995)
Watanabe, K.: Elastodynamic Doppler effects and wave energy partition by a sliding interface. Acta Mech. 228(12), 4169–4186 (2017)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Watanabe, K. Wave generation by the back-and-forth motion of a rigid slider. Acta Mech 233, 183–199 (2022). https://doi.org/10.1007/s00707-021-03058-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-021-03058-6