A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics

Shuenn Yih Chang; Ngoc Cuong Tran

doi:10.1201/b18415-86

A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics

Shuenn Yih Chang
, Ngoc Cuong Tran

Department of Civil Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Although the family methods with unconditional stability and numerical dissipation have been developed for structural dynamics, they are all implicit methods and thus an iterative procedure is generally involved for each time step. In this paper, a new family method is proposed. It involves no nonlinear iterations in addition to unconditional stability and favourable numerical dissipation, which can be continuously controlled. In particular, it can have a zero damping ratio. The most important improvement of this family method is that it involves no nonlinear iterations for each time step and thus it can save many computational efforts when compared with the currently available dissipative implicit integration methods.

Original language	English
Title of host publication	Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014
Editors	Shuenn-Yih Chang, Suad Khalid Al Bahar, Adel Abdulmajeed M. Husain, Jingying Zhao
Publisher	CRC Press/Balkema
Pages	379-384
Number of pages	6
ISBN (Print)	9781138000889
DOIs	https://doi.org/10.1201/b18415-86
State	Published - 2015
Event	4th International Conference on Civil Engineering and Building Materials, CEBM 2014 - Hong Kong, China Duration: 15 Nov 2014 → 16 Nov 2014

Publication series

Name	Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014

Conference

Conference	4th International Conference on Civil Engineering and Building Materials, CEBM 2014
Country/Territory	China
City	Hong Kong
Period	15/11/14 → 16/11/14

Bibliographical note

Publisher Copyright:
© 2015 Taylor & Francis Group, London.

Keywords

Dynamic analysis
Explicit formulation
Numerical dissipation
Unconditional stability

Access to Document

10.1201/b18415-86

Cite this

Chang, S. Y., & Tran, N. C. (2015). A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. In S.-Y. Chang, S. K. A. Bahar, A. A. M. Husain, & J. Zhao (Eds.), Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014 (pp. 379-384). (Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014). CRC Press/Balkema. https://doi.org/10.1201/b18415-86

Chang, Shuenn Yih ; Tran, Ngoc Cuong. / A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014. editor / Shuenn-Yih Chang ; Suad Khalid Al Bahar ; Adel Abdulmajeed M. Husain ; Jingying Zhao. CRC Press/Balkema, 2015. pp. 379-384 (Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014).

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abstract = "Although the family methods with unconditional stability and numerical dissipation have been developed for structural dynamics, they are all implicit methods and thus an iterative procedure is generally involved for each time step. In this paper, a new family method is proposed. It involves no nonlinear iterations in addition to unconditional stability and favourable numerical dissipation, which can be continuously controlled. In particular, it can have a zero damping ratio. The most important improvement of this family method is that it involves no nonlinear iterations for each time step and thus it can save many computational efforts when compared with the currently available dissipative implicit integration methods.",

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Chang, SY & Tran, NC 2015, A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. in S-Y Chang, SKA Bahar, AAM Husain & J Zhao (eds), Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014. Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014, CRC Press/Balkema, pp. 379-384, 4th International Conference on Civil Engineering and Building Materials, CEBM 2014, Hong Kong, China, 15/11/14. https://doi.org/10.1201/b18415-86

A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. / Chang, Shuenn Yih; Tran, Ngoc Cuong.
Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014. ed. / Shuenn-Yih Chang; Suad Khalid Al Bahar; Adel Abdulmajeed M. Husain; Jingying Zhao. CRC Press/Balkema, 2015. p. 379-384 (Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Although the family methods with unconditional stability and numerical dissipation have been developed for structural dynamics, they are all implicit methods and thus an iterative procedure is generally involved for each time step. In this paper, a new family method is proposed. It involves no nonlinear iterations in addition to unconditional stability and favourable numerical dissipation, which can be continuously controlled. In particular, it can have a zero damping ratio. The most important improvement of this family method is that it involves no nonlinear iterations for each time step and thus it can save many computational efforts when compared with the currently available dissipative implicit integration methods.

KW - Dynamic analysis

KW - Explicit formulation

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Chang SY, Tran NC. A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. In Chang SY, Bahar SKA, Husain AAM, Zhao J, editors, Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014. CRC Press/Balkema. 2015. p. 379-384. (Advances in Civil Engineering and Building Materials IV - Selected and Peer Reviewed Papers from the 2014 4th International Conference on Civil Engineering and Building Materials, CEBM 2014). doi: 10.1201/b18415-86

A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics

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Keywords

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