A novel family of controllably dissipative composite integration algorithms for structural dynamic analysis

In this paper, a new family of controllably dissipative composite algorithms is developed to obtain reliable numerical response of structural dynamic problems. The proposed algorithm is a self-starting, unconditionally stable and second-order accurate three sub-step composite algorithm. The new meth...

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Published in:	Nonlinear dynamics Vol. 96; no. 4; pp. 2475 - 2507
Main Authors:	Li, Jinze, Yu, Kaiping, Li, Xiangyang
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.06.2019 Springer Nature B.V
Subjects:	Algorithms Automotive Engineering Classical Mechanics Control Controllability Dissipation Dynamical Systems Engineering Frequency ranges Mechanical Engineering Original Paper Stiffness matrix Vibration Composite algorithm Structural dynamics Controllable numerical dissipations Three sub-step algorithm Bathe algorithm
ISSN:	0924-090X, 1573-269X
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Abstract	In this paper, a new family of controllably dissipative composite algorithms is developed to obtain reliable numerical response of structural dynamic problems. The proposed algorithm is a self-starting, unconditionally stable and second-order accurate three sub-step composite algorithm. The new method includes two optimal sub-families of algorithms, both of which can control numerical dissipations in the high-frequency range by an intuitive way, and their numerical dissipations can range from the non-dissipative case to the asymptotic annihilating case. Besides, they actually involve only one free parameter and always share the identical effective stiffness matrices inside three sub-step to save the computational cost, which does not hold in some existing sub-step algorithms. Some numerical examples are given to show the superiority of the new algorithm with respect to controllable numerical dissipations and the ability of capturing the free-play nonlinearity.
AbstractList	In this paper, a new family of controllably dissipative composite algorithms is developed to obtain reliable numerical response of structural dynamic problems. The proposed algorithm is a self-starting, unconditionally stable and second-order accurate three sub-step composite algorithm. The new method includes two optimal sub-families of algorithms, both of which can control numerical dissipations in the high-frequency range by an intuitive way, and their numerical dissipations can range from the non-dissipative case to the asymptotic annihilating case. Besides, they actually involve only one free parameter and always share the identical effective stiffness matrices inside three sub-step to save the computational cost, which does not hold in some existing sub-step algorithms. Some numerical examples are given to show the superiority of the new algorithm with respect to controllable numerical dissipations and the ability of capturing the free-play nonlinearity.
Author	Li, Jinze Yu, Kaiping Li, Xiangyang
Author_xml	– sequence: 1 givenname: Jinze surname: Li fullname: Li, Jinze organization: Department of Astronautic Science and Mechanics, Harbin Institute of Technology – sequence: 2 givenname: Kaiping orcidid: 0000-0002-7722-0138 surname: Yu fullname: Yu, Kaiping email: yukp@hit.edu.cn organization: Department of Astronautic Science and Mechanics, Harbin Institute of Technology – sequence: 3 givenname: Xiangyang surname: Li fullname: Li, Xiangyang organization: Department of Astronautic Science and Mechanics, Harbin Institute of Technology
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SubjectTerms	Algorithms Automotive Engineering Classical Mechanics Control Controllability Dissipation Dynamical Systems Engineering Frequency ranges Mechanical Engineering Original Paper Stiffness matrix Vibration
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Title	A novel family of controllably dissipative composite integration algorithms for structural dynamic analysis
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