An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response

Suguang Dou

doi:10.1007/978-3-030-81162-4_38

An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response

Suguang Dou^*

^*Corresponding author for this work

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

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Abstract

Nonlinear dynamics is widely exploited in micro-mechanical resonators with a number of applications. One of the crucial issues in these applications is to intentionally tailor the intrinsic nonlinearity in these structures. In this study, a structural optimization methodology is improved for tailoring the intrinsic nonlinearity in these resonators by manipulating their structural geometry. In the optimization, the objective function is defined based on the nonlinear modal coupling coefficients as well as eigenfrequencies and modal shapes of the vibration modes. A preliminary study shows that the improved formulation of the optimization problem enables better designs.

Original language	English
Title of host publication	Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021)
Editors	Walter Lacarbonara, Balakumar Balachandrian, Michael J. Leamy, Jun Ma, J. A. Tenreio Machado, Gabor Stepan
Number of pages	10
Volume	1
Publisher	Springer
Publication date	2022
Pages	433-442
ISBN (Print)	978-3-030-81161-7, 978-3-030-81164-8
ISBN (Electronic)	978-3-030-81162-4
DOIs	https://doi.org/10.1007/978-3-030-81162-4_38
Publication status	Published - 2022
Event	NODYCON 2021: Second International Nonlinear Dynamics Conference - online, Rome, Italy Duration: 16 Feb 2021 → 19 Feb 2021 Conference number: 1 https://nodycon.org/2021/

Conference

Conference	NODYCON 2021
Number	1
Location	online
Country/Territory	Italy
City	Rome
Period	16/02/2021 → 19/02/2021
Internet address	https://nodycon.org/2021/

Series	NODYCON Conference Proceedings Series
ISSN	2730-7689

Keywords

Nonlinear dynamics
Shape optimization
Finite element
Model order reduction
Adjoint method

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10.1007/978-3-030-81162-4_38

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An improved formulation for structural optimization of nonlinear dynamic response
Dou, S. (Speaker)
16 Feb 2021
Activity: Talks and presentations › Conference presentations

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Dou, S. (2022). An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response. In W. Lacarbonara, B. Balachandrian, M. J. Leamy, J. Ma, J. A. T. Machado, & G. Stepan (Eds.), Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021) (Vol. 1, pp. 433-442). Springer. https://doi.org/10.1007/978-3-030-81162-4_38

Dou, Suguang. / An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response. Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021). editor / Walter Lacarbonara ; Balakumar Balachandrian ; Michael J. Leamy ; Jun Ma ; J. A. Tenreio Machado ; Gabor Stepan. Vol. 1 Springer, 2022. pp. 433-442 (NODYCON Conference Proceedings Series).

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abstract = "Nonlinear dynamics is widely exploited in micro-mechanical resonators with a number of applications. One of the crucial issues in these applications is to intentionally tailor the intrinsic nonlinearity in these structures. In this study, a structural optimization methodology is improved for tailoring the intrinsic nonlinearity in these resonators by manipulating their structural geometry. In the optimization, the objective function is defined based on the nonlinear modal coupling coefficients as well as eigenfrequencies and modal shapes of the vibration modes. A preliminary study shows that the improved formulation of the optimization problem enables better designs.",

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Dou, S 2022, An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response. in W Lacarbonara, B Balachandrian, MJ Leamy, J Ma, JAT Machado & G Stepan (eds), Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021). vol. 1, Springer, NODYCON Conference Proceedings Series, pp. 433-442, NODYCON 2021, Rome, Italy, 16/02/2021. https://doi.org/10.1007/978-3-030-81162-4_38

An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response. / Dou, Suguang.
Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021). ed. / Walter Lacarbonara; Balakumar Balachandrian; Michael J. Leamy; Jun Ma; J. A. Tenreio Machado; Gabor Stepan. Vol. 1 Springer, 2022. p. 433-442 (NODYCON Conference Proceedings Series).

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

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KW - Nonlinear dynamics

KW - Shape optimization

KW - Finite element

KW - Model order reduction

KW - Adjoint method

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DO - 10.1007/978-3-030-81162-4_38

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Dou S. An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response. In Lacarbonara W, Balachandrian B, Leamy MJ, Ma J, Machado JAT, Stepan G, editors, Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021). Vol. 1. Springer. 2022. p. 433-442. (NODYCON Conference Proceedings Series). doi: 10.1007/978-3-030-81162-4_38

An Improved Formulation for Structural Optimization of Nonlinear Dynamic Response

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An improved formulation for structural optimization of nonlinear dynamic response

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