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Multi-Degree-of-Freedom Systems

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The Science and Engineering of Mechanical Shock
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Abstract

The single degree-of-freedom oscillator provides insight into the structural dynamics of linear systems, but real systems are more complex. Evaluating the response of general structures requires multi-degree-of-freedom (MDOF) models . Previously, we introduced the shock response spectrum as a tool to gain insight into the frequency content of a transient excitation. We also described how the SRS may be used to design a structure that can be represented as single degree-of-freedom system to survive shock loads. For MDOF systems the SRS is used primarily for structural design and efficient estimation of the response of a structure to transient excitation. In this chapter we review the basic concepts needed to understand the response of complex structures to shock (i.e., transient) excitation and how to use the SRS for transient analysis of MDOF systems.

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Sisemore, C., Babuška, V. (2020). Multi-Degree-of-Freedom Systems. In: The Science and Engineering of Mechanical Shock. Springer, Cham. https://doi.org/10.1007/978-3-030-12103-7_8

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  • DOI: https://doi.org/10.1007/978-3-030-12103-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12102-0

  • Online ISBN: 978-3-030-12103-7

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