An efficient iterative grid selection strategy for time-mapped harmonic balance method

Zhiyu Xu; Hao Zhuang; Bo Jiang; Ben Gu; Xinnan Lin; Jin He; Yu Cao; Yang Zhang; Guozeng Wang; Peigang Deng; Xiaojin Zhao; Yang Zhang; Yong Ma; Wen Wu; Wenping Wang

An efficient iterative grid selection strategy for time-mapped harmonic balance method

Zhiyu Xu, Hao Zhuang, Bo Jiang, Ben Gu, Xinnan Lin, Jin He, Yu Cao, Yang Zhang, Guozeng Wang, Peigang Deng, Xiaojin Zhao, Yang Zhang, Yong Ma, Wen Wu, Wenping Wang

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

Abstract

In this paper, a new iterative grid selection strategy for the Time-Mapped Harmonic Balance (TMHB) method is presented. This strategy is referred to the adaptive grid methods, which tracks the rapid transitions and constructs a smooth time-map function. The theoretical analysis and simulation results of this grid selection strategy are presented. The results demonstrate that this new strategy improves the numerical stability of the TMHB method and achieves accurate results based on the improved TMHB method.

Original language	English (US)
Title of host publication	Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011
Pages	671-674
Number of pages	4
State	Published - 2011
Externally published	Yes
Event	Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011 - Boston, MA, United States Duration: Jun 13 2011 → Jun 16 2011

Publication series

Name	Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011
Volume	2

Conference

Conference	Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011
Country/Territory	United States
City	Boston, MA
Period	6/13/11 → 6/16/11

Keywords

Grid selection strategy
Rapid transition
Time-Mapped harmonic balance

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Xu, Z., Zhuang, H., Jiang, B., Gu, B., Lin, X., He, J., Cao, Y., Zhang, Y., Wang, G., Deng, P., Zhao, X., Zhang, Y., Ma, Y., Wu, W., & Wang, W. (2011). An efficient iterative grid selection strategy for time-mapped harmonic balance method. In Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011 (pp. 671-674). (Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011; Vol. 2).

An efficient iterative grid selection strategy for time-mapped harmonic balance method. / Xu, Zhiyu; Zhuang, Hao; Jiang, Bo et al.
Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011. 2011. p. 671-674 (Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011; Vol. 2).

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

Xu, Z, Zhuang, H, Jiang, B, Gu, B, Lin, X, He, J, Cao, Y, Zhang, Y, Wang, G, Deng, P, Zhao, X, Zhang, Y, Ma, Y, Wu, W & Wang, W 2011, An efficient iterative grid selection strategy for time-mapped harmonic balance method. in Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011. Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011, vol. 2, pp. 671-674, Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011, Boston, MA, United States, 6/13/11.

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title = "An efficient iterative grid selection strategy for time-mapped harmonic balance method",

abstract = "In this paper, a new iterative grid selection strategy for the Time-Mapped Harmonic Balance (TMHB) method is presented. This strategy is referred to the adaptive grid methods, which tracks the rapid transitions and constructs a smooth time-map function. The theoretical analysis and simulation results of this grid selection strategy are presented. The results demonstrate that this new strategy improves the numerical stability of the TMHB method and achieves accurate results based on the improved TMHB method.",

keywords = "Grid selection strategy, Rapid transition, Time-Mapped harmonic balance",

author = "Zhiyu Xu and Hao Zhuang and Bo Jiang and Ben Gu and Xinnan Lin and Jin He and Yu Cao and Yang Zhang and Guozeng Wang and Peigang Deng and Xiaojin Zhao and Yang Zhang and Yong Ma and Wen Wu and Wenping Wang",

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language = "English (US)",

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series = "Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011",

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note = "Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011 ; Conference date: 13-06-2011 Through 16-06-2011",

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TY - GEN

T1 - An efficient iterative grid selection strategy for time-mapped harmonic balance method

AU - Xu, Zhiyu

AU - Zhuang, Hao

AU - Jiang, Bo

AU - Gu, Ben

AU - Lin, Xinnan

AU - He, Jin

AU - Cao, Yu

AU - Zhang, Yang

AU - Wang, Guozeng

AU - Deng, Peigang

AU - Zhao, Xiaojin

AU - Zhang, Yang

AU - Ma, Yong

AU - Wu, Wen

AU - Wang, Wenping

PY - 2011

Y1 - 2011

N2 - In this paper, a new iterative grid selection strategy for the Time-Mapped Harmonic Balance (TMHB) method is presented. This strategy is referred to the adaptive grid methods, which tracks the rapid transitions and constructs a smooth time-map function. The theoretical analysis and simulation results of this grid selection strategy are presented. The results demonstrate that this new strategy improves the numerical stability of the TMHB method and achieves accurate results based on the improved TMHB method.

AB - In this paper, a new iterative grid selection strategy for the Time-Mapped Harmonic Balance (TMHB) method is presented. This strategy is referred to the adaptive grid methods, which tracks the rapid transitions and constructs a smooth time-map function. The theoretical analysis and simulation results of this grid selection strategy are presented. The results demonstrate that this new strategy improves the numerical stability of the TMHB method and achieves accurate results based on the improved TMHB method.

KW - Grid selection strategy

KW - Rapid transition

KW - Time-Mapped harmonic balance

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M3 - Conference contribution

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T3 - Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011

SP - 671

EP - 674

BT - Technical Proceedings of the 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011

T2 - Nanotechnology 2011: Electronics, Devices, Fabrication, MEMS, Fluidics and Computational - 2011 NSTI Nanotechnology Conference and Expo, NSTI-Nanotech 2011

Y2 - 13 June 2011 through 16 June 2011

ER -

An efficient iterative grid selection strategy for time-mapped harmonic balance method

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Keywords

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