Abstract
Typical problems of discretized systems (e.g. lumped mass systems) have been analyzed in the previous chapters. In some real cases, the simplified approach of lumped masses is not feasible, then an infinite number of DOFs have to be considered in the analyses. The dynamic problem of systems with distributed mass and elasticity are formulated in this chapter. A Simple structure is considered in order to provide the closed form solution for both free vibrations and forced system analyses.
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References
Stokey WF (1988) Vibration of systems having distributed mass and elasticity. In: Harris CM (ed) Shock and vibration handbook, chapter 7. McGraw-Hill, New York
Truesdell C (1984) Timoshenko’s history of strength of materials (1953). Springer, New York
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Cimellaro, G.P., Marasco, S. (2018). Distributed Mass and Elasticity Systems. In: Introduction to Dynamics of Structures and Earthquake Engineering. Geotechnical, Geological and Earthquake Engineering, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-319-72541-3_6
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DOI: https://doi.org/10.1007/978-3-319-72541-3_6
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