Abstract
In previous chapters methods for eigensolution and static analysis of regular and near-regular skeletal and continuum structures were presented. In this chapter methods are developed for efficient dynamic analysis of structures. The proposed methods are based on converting initial-value problems into boundary-value problems and taking advantages of the properties of the latter problems in efficient solution of the former ones. Finite difference formulation of boundary-value problems leads to matrices with repetitive tri-diagonal and block tri-diagonal patterns whose eigensolution and matrix inversion are obtained using the relationships in Chap. 2.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kaveh, A., Rahami, H., Shojaei, I.: An efficient method for seismic analysis of structures. Eng. Comput. 32(6), 1708–1721 (2015)
Kaveh, A.: Optimal analysis of structures by concepts of symmetry and regularity. Springer, GmbH, Wien-NewYork. https://doi.org/10.1007/978-3-7091-1565-7
Kaveh, A., Rahami, H.: Tri-diagonal and penta-diagonal block matrices for efficient eigensolutions of problems in structural mechanics. Acta Mech, http://www.springerlink.com/content/p62629m74120/?p=cc0dadc6e55a410daf169b171a7aca74&pi=0192:77–87
Chopra, A.K..: Dynamics of structures: theory and applications to earthquake engineering. 2nd edn, Prentice Hall, USA (2007)
Miller, W.: Computational complexity and numerical stability, SIAM. J. Comput. 4, 97–107 (1975)
Kaveh, A., Shojaei, I., Golipour, Y., Rahami, H.: Seismic design of eccentric braced frames using multi-objective optimization. Struct. Eng. Mech. 45, 211–232 (2013)
Barbosa, H.J.C., Lemonge, A.C.C.: A new adaptive penalty scheme for genetic algorithms. Inform. Sci. 156, 215–251 (2003)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley, Reading, MA (1989)
Rahami, H., Kaveh, A., Shojaei, I., Gholipour, Y.: Analysis of irregular structures composed of regular and irregular parts using graph product. J. Comput. Civil Eng. 28(4), https://doi.org/10.1061/(asce)cp.1943-5487.0000375 (2014)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Kaveh, A., Rahami, H., Shojaei, I. (2020). Dynamic Analysis of Near-Regular Structures. In: Swift Analysis of Civil Engineering Structures Using Graph Theory Methods. Studies in Systems, Decision and Control, vol 290. Springer, Cham. https://doi.org/10.1007/978-3-030-45549-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-030-45549-1_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-45548-4
Online ISBN: 978-3-030-45549-1
eBook Packages: EngineeringEngineering (R0)