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

土木工程系

研究成果: 書籍/報告/會議論文中的章節 › 會議投稿 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

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.

原文	English
主出版物標題	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
編輯	Shuenn-Yih Chang, Suad Khalid Al Bahar, Adel Abdulmajeed M. Husain, Jingying Zhao
發行者	CRC Press/Balkema
頁面	379-384
頁數	6
ISBN（列印）	9781138000889
DOIs	https://doi.org/10.1201/b18415-86
出版狀態	Published - 2015
事件	4th International Conference on Civil Engineering and Building Materials, CEBM 2014 - Hong Kong, China 持續時間: 15 11月 2014 → 16 11月 2014

出版系列

名字	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
國家/地區	China
城市	Hong Kong
期間	15/11/14 → 16/11/14

文獻附註

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

存取文件

10.1201/b18415-86

其它文件與鏈接

Link to publication in Scopus

引用此

Chang, S. Y., & Tran, N. C. (2015). A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. 於 S.-Y. Chang, S. K. A. Bahar, A. A. M. Husain, & J. Zhao (編輯), 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 (頁 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. 編輯 / Shuenn-Yih Chang ; Suad Khalid Al Bahar ; Adel Abdulmajeed M. Husain ; Jingying Zhao. CRC Press/Balkema, 2015. 頁 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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title = "A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics",

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.",

keywords = "Dynamic analysis, Explicit formulation, Numerical dissipation, Unconditional stability",

author = "Chang, \{Shuenn Yih\} and Tran, \{Ngoc Cuong\}",

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Chang, SY & Tran, NC 2015, A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. 於 S-Y Chang, SKA Bahar, AAM Husain & J Zhao (編輯), 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, 頁 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. 編輯 / 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).

研究成果: 書籍/報告/會議論文中的章節 › 會議投稿 › 同行評審

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AU - Chang, Shuenn Yih

AU - Tran, Ngoc Cuong

PY - 2015

Y1 - 2015

N2 - 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.

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

KW - Numerical dissipation

KW - Unconditional stability

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BT - 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

A2 - Chang, Shuenn-Yih

A2 - Bahar, Suad Khalid Al

A2 - Husain, Adel Abdulmajeed M.

A2 - Zhao, Jingying

PB - CRC Press/Balkema

T2 - 4th International Conference on Civil Engineering and Building Materials, CEBM 2014

Y2 - 15 November 2014 through 16 November 2014

ER -

Chang SY, Tran NC. A two-step unconditionally stable explicit method with controllable numerical dissipation for structural dynamics. 於 Chang SY, Bahar SKA, Husain AAM, Zhao J, 編輯, 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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