Abstract
This chapter presents dynamic Green’s functions for the elastic beam and plate. The dynamic responses produced by a point load on the surface of the beam and plate are discussed. Two dynamic responses, the impulsive and time-harmonic responses, are derived by the integral transform method. In addition to the tabulated integration formulas, an inversion integral is evaluated by the application of the complex integral theory.
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References
Erdélyi A (ed) (1954) Tables of integral transforms, vol I and II. McGraw-Hill, New-York
Watson GN (1966) A treatise on the theory of bessel functions. Cambridge University Press, Cambridge
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Watanabe, K. (2015). Green’s Functions for Beam and Plate. In: Integral Transform Techniques for Green's Function. Lecture Notes in Applied and Computational Mechanics, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-319-17455-6_5
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DOI: https://doi.org/10.1007/978-3-319-17455-6_5
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-17455-6
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