Imaging Off-Resonance Nanomechanical Motion as Modal Superposition

Joshoua Condicion Esmenda; Myrron Albert Callera Aguila; Jyh Yang Wang; Teik Hui Lee; Chi Yuan Yang; Kung Hsuan Lin; Kuei Shu Chang-Liao; Nadav Katz; Sergey Kafanov; Yuri A. Pashkin; Chii Dong Chen

doi:10.1002/advs.202005041

Imaging Off-Resonance Nanomechanical Motion as Modal Superposition

Joshoua Condicion Esmenda^*, Myrron Albert Callera Aguila, Jyh Yang Wang, Teik Hui Lee, Chi Yuan Yang, Kung Hsuan Lin, Kuei Shu Chang-Liao, Nadav Katz, Sergey Kafanov, Yuri A. Pashkin, Chii Dong Chen^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion can be obtained by also looking at modal responses at frequencies in between resonances. Here, an imaging of the modal responses for a nanomechanical drum driven off resonance is presented. By using the frequency modal analysis, these shapes are described as a superposition of resonance modes. It is found that the spatial distribution of the oscillating component of the driving force, which is affected by both the shape of the actuating electrode and inherent device properties such as asymmetry and initial slack, greatly influences the modal weight or participation. This modal superposition analysis elucidates the dynamics of any nanomechanical system through modal weights. This aids in optimizing mode-specific designs for force sensing and integration with other systems.

Original language	American English
Article number	2005041
Journal	Advanced Science
Volume	8
Issue number	13
DOIs	https://doi.org/10.1002/advs.202005041
State	Published - 7 Jul 2021

Bibliographical note

Funding Information:
J.C.E. and M.A.C.A. contributed equally to this work. The authors acknowledge the contributions of Tzu‐Hui Hsu and Wen‐Hao Chang in the fabrication of the devices and building the experimental setup. The authors also thank Bo‐Ru Guo and Yen‐Chun Chen for their technical assistance. They also thank the Taiwan International Graduate Program for the financial support. This project is funded by Academia Sinica Grand Challenge Seed Program (AS‐GC‐109‐08), Ministry of Science and Technology (MOST) of Taiwan (107‐2112‐M‐001‐001‐MY3), Cost Share Programme (107‐2911‐I‐001‐511), the Royal Society International Exchanges Scheme (grant IES\R3\170029), and iMATE (2391‐107‐3001). The authors would also like to extend our gratitude for the Academia Sinica Nanocore facility.

Funding Information:
J.C.E. and M.A.C.A. contributed equally to this work. The authors acknowledge the contributions of Tzu-Hui Hsu and Wen-Hao Chang in the fabrication of the devices and building the experimental setup. The authors also thank Bo-Ru Guo and Yen-Chun Chen for their technical assistance. They also thank the Taiwan International Graduate Program for the financial support. This project is funded by Academia Sinica Grand Challenge Seed Program (AS-GC-109-08), Ministry of Science and Technology (MOST) of Taiwan (107-2112-M-001-001-MY3), Cost Share Programme (107-2911-I-001-511), the Royal Society International Exchanges Scheme (grant IES\R3\170029), and iMATE (2391-107-3001). The authors would also like to extend our?gratitude for the Academia Sinica Nanocore?facility.

Publisher Copyright:
© 2021 The Authors. Advanced Science published by Wiley-VCH GmbH

Keywords

modal superposition
nanomechanical motion
off-resonance

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1002/advs.202005041

Cite this

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title = "Imaging Off-Resonance Nanomechanical Motion as Modal Superposition",

abstract = "Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion can be obtained by also looking at modal responses at frequencies in between resonances. Here, an imaging of the modal responses for a nanomechanical drum driven off resonance is presented. By using the frequency modal analysis, these shapes are described as a superposition of resonance modes. It is found that the spatial distribution of the oscillating component of the driving force, which is affected by both the shape of the actuating electrode and inherent device properties such as asymmetry and initial slack, greatly influences the modal weight or participation. This modal superposition analysis elucidates the dynamics of any nanomechanical system through modal weights. This aids in optimizing mode-specific designs for force sensing and integration with other systems.",

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author = "Esmenda, {Joshoua Condicion} and Aguila, {Myrron Albert Callera} and Wang, {Jyh Yang} and Lee, {Teik Hui} and Yang, {Chi Yuan} and Lin, {Kung Hsuan} and Chang-Liao, {Kuei Shu} and Nadav Katz and Sergey Kafanov and Pashkin, {Yuri A.} and Chen, {Chii Dong}",

note = "Funding Information: J.C.E. and M.A.C.A. contributed equally to this work. The authors acknowledge the contributions of Tzu‐Hui Hsu and Wen‐Hao Chang in the fabrication of the devices and building the experimental setup. The authors also thank Bo‐Ru Guo and Yen‐Chun Chen for their technical assistance. They also thank the Taiwan International Graduate Program for the financial support. This project is funded by Academia Sinica Grand Challenge Seed Program (AS‐GC‐109‐08), Ministry of Science and Technology (MOST) of Taiwan (107‐2112‐M‐001‐001‐MY3), Cost Share Programme (107‐2911‐I‐001‐511), the Royal Society International Exchanges Scheme (grant IES\R3\170029), and iMATE (2391‐107‐3001). The authors would also like to extend our gratitude for the Academia Sinica Nanocore facility. Funding Information: J.C.E. and M.A.C.A. contributed equally to this work. The authors acknowledge the contributions of Tzu-Hui Hsu and Wen-Hao Chang in the fabrication of the devices and building the experimental setup. The authors also thank Bo-Ru Guo and Yen-Chun Chen for their technical assistance. They also thank the Taiwan International Graduate Program for the financial support. This project is funded by Academia Sinica Grand Challenge Seed Program (AS-GC-109-08), Ministry of Science and Technology (MOST) of Taiwan (107-2112-M-001-001-MY3), Cost Share Programme (107-2911-I-001-511), the Royal Society International Exchanges Scheme (grant IES\R3\170029), and iMATE (2391-107-3001). The authors would also like to extend our?gratitude for the Academia Sinica Nanocore?facility. Publisher Copyright: {\textcopyright} 2021 The Authors. Advanced Science published by Wiley-VCH GmbH",

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doi = "10.1002/advs.202005041",

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AU - Esmenda, Joshoua Condicion

AU - Aguila, Myrron Albert Callera

AU - Wang, Jyh Yang

AU - Lee, Teik Hui

AU - Yang, Chi Yuan

AU - Lin, Kung Hsuan

AU - Chang-Liao, Kuei Shu

AU - Katz, Nadav

AU - Kafanov, Sergey

AU - Pashkin, Yuri A.

AU - Chen, Chii Dong

N1 - Funding Information: J.C.E. and M.A.C.A. contributed equally to this work. The authors acknowledge the contributions of Tzu‐Hui Hsu and Wen‐Hao Chang in the fabrication of the devices and building the experimental setup. The authors also thank Bo‐Ru Guo and Yen‐Chun Chen for their technical assistance. They also thank the Taiwan International Graduate Program for the financial support. This project is funded by Academia Sinica Grand Challenge Seed Program (AS‐GC‐109‐08), Ministry of Science and Technology (MOST) of Taiwan (107‐2112‐M‐001‐001‐MY3), Cost Share Programme (107‐2911‐I‐001‐511), the Royal Society International Exchanges Scheme (grant IES\R3\170029), and iMATE (2391‐107‐3001). The authors would also like to extend our gratitude for the Academia Sinica Nanocore facility. Funding Information: J.C.E. and M.A.C.A. contributed equally to this work. The authors acknowledge the contributions of Tzu-Hui Hsu and Wen-Hao Chang in the fabrication of the devices and building the experimental setup. The authors also thank Bo-Ru Guo and Yen-Chun Chen for their technical assistance. They also thank the Taiwan International Graduate Program for the financial support. This project is funded by Academia Sinica Grand Challenge Seed Program (AS-GC-109-08), Ministry of Science and Technology (MOST) of Taiwan (107-2112-M-001-001-MY3), Cost Share Programme (107-2911-I-001-511), the Royal Society International Exchanges Scheme (grant IES\R3\170029), and iMATE (2391-107-3001). The authors would also like to extend our?gratitude for the Academia Sinica Nanocore?facility. Publisher Copyright: © 2021 The Authors. Advanced Science published by Wiley-VCH GmbH

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N2 - Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion can be obtained by also looking at modal responses at frequencies in between resonances. Here, an imaging of the modal responses for a nanomechanical drum driven off resonance is presented. By using the frequency modal analysis, these shapes are described as a superposition of resonance modes. It is found that the spatial distribution of the oscillating component of the driving force, which is affected by both the shape of the actuating electrode and inherent device properties such as asymmetry and initial slack, greatly influences the modal weight or participation. This modal superposition analysis elucidates the dynamics of any nanomechanical system through modal weights. This aids in optimizing mode-specific designs for force sensing and integration with other systems.

AB - Observation of resonance modes is the most straightforward way of studying mechanical oscillations because these modes have maximum response to stimuli. However, a deeper understanding of mechanical motion can be obtained by also looking at modal responses at frequencies in between resonances. Here, an imaging of the modal responses for a nanomechanical drum driven off resonance is presented. By using the frequency modal analysis, these shapes are described as a superposition of resonance modes. It is found that the spatial distribution of the oscillating component of the driving force, which is affected by both the shape of the actuating electrode and inherent device properties such as asymmetry and initial slack, greatly influences the modal weight or participation. This modal superposition analysis elucidates the dynamics of any nanomechanical system through modal weights. This aids in optimizing mode-specific designs for force sensing and integration with other systems.

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KW - off-resonance

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DO - 10.1002/advs.202005041

M3 - Article

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SN - 2198-3844

VL - 8

JO - Advanced Science

JF - Advanced Science

IS - 13

M1 - 2005041

ER -

Imaging Off-Resonance Nanomechanical Motion as Modal Superposition

Abstract

Bibliographical note

Keywords

UN SDGs

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