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Multi-degree of Freedom Systems

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Vibration of Discrete and Continuous Systems

Part of the book series: Mechanical Engineering Series ((MES))

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Abstract

The methods of vibration analysis of single degree of freedom systems can be generalized and extended to study systems with an arbitrary finite number of degrees of freedom. Mechanical systems in general consist of structural elements which have distributed mass and elasticity. In many cases, these systems can be represented by equivalent systems which consist of some elements which are bulky solids and can be treated as rigid elements with specified inertia properties, while the other elements are elastic elements which have negligible inertia effects. In fact, the single degree of freedom systems discussed in the preceding chapters are examples of these equivalent models which are called lumped mass systems.

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References

  • Patel, M. D., Pappalardo, C. M., Wang, G., & Shabana, A. A. (2018). Integration of geometry and small and large deformation analysis for vehicle modelling: Chassis, and airless and pneumatic Tire flexibility. International Journal of Vehicle Performance, Accepted for publication.

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  • Shabana, A. A. (2018B). Theory of vibration; An introduction (3rd ed.). New York: Springer-Verlag.

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Authors and Affiliations

  1. Richard and Loan Hill Professor of Engineering, Department of Mechanical & Industrial Engineering, University of Illinois at Chicago, Chicago, IL, USA

    Ahmed Shabana

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  1. Ahmed Shabana
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Shabana, A. (2019). Multi-degree of Freedom Systems. In: Vibration of Discrete and Continuous Systems. Mechanical Engineering Series. Springer, Cham. https://doi.org/10.1007/978-3-030-04348-3_3

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  • DOI: https://doi.org/10.1007/978-3-030-04348-3_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04347-6

  • Online ISBN: 978-3-030-04348-3

  • eBook Packages: EngineeringEngineering (R0)

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