Abstract
In this chapter efficient methods are presented for reducing the computational complexity of analysis for structures in the process of size and geometry optimization. These methods result in simultaneous swift analysis and optimal design of structures. A swift analysis for optimal size is performed using a modified solution for structures with changed members and the optimal analysis is performed via a modified solution for structures with changed supports and nodes. The methods are further generalized to non-linear analysis within optimization procedures and to mechanical/biomechanical systems other than structures.
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
Rahami, H., Kaveh, A., Shojaei, I.: Swift analysis for size and geometry optimization of structures. Adv. Struct. Eng. 18(3), 365–380 (2015)
Shojaei, I., Kaveh, A., Rahami, H., Bazrgari, B.: Efficient non-linear analysis and optimal design of mechanical and biomechanical systems. Adv. Biomech. Appl. 2(1), 11–27 (2015)
Kaveh, A., Shojaei, I., Golipour, Y., Rahami, H.: Seismic design of eccentric braced frames using multi-objective optimization. Struct. Eng. Mech. 45(2), 211–232 (2013)
Bathe, K.J.: Finite Element Procedures. Englewood Cliffs, Prentice-Hall, NJ, USA (1996)
Zingoni, A.: Group-theoretic insights on the vibration of symmetric structures in engineering. Phil. Trans. R Soc. A 13(372), 20120037 (2014)
Shojaei, I., Kaveh, A., Rahami, H.: Analysis of structures convertible to repeated structures using graph products. Comput. Struct. 125, 153–163 (2013)
Bazrgari, B., Shirazi-Adl, A., Arjmand, N.: Analysis of squat and stoop dynamic liftings: muscle forces and internal spinal loads. Eur. Spine J. 16(5), 687–699 (2007)
Arjmand, N., Shirazi-Adl, A.: Biomechanics of changes in lumbar posture in static lifting. Spine 30(23), 2637–2648 (2005)
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). Swift Analysis of Linear and Non-linear Structures and Applications Using Reanalysis. 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_7
Download citation
DOI: https://doi.org/10.1007/978-3-030-45549-1_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-45548-4
Online ISBN: 978-3-030-45549-1
eBook Packages: EngineeringEngineering (R0)