Theoretical Analysis of Light-Actuated Self-Sliding Mass on a Circular Track Facilitated by a Liquid Crystal Elastomer Fiber
Abstract
:1. Introduction
2. Theoretical Model and Formulation
2.1. Dynamics of Self-Sliding System
2.2. Dynamic LCE Model
2.3. Nondimensionalization
3. Two Motion States and Mechanism of Self-Sliding
3.1. Two Motion States
3.2. Mechanism of Self-Sliding
4. Parameter Study
4.1. Influence of the Light Intensity
4.2. Influence of the Contraction Coefficient of LCE
4.3. Influence of the Elastic Coefficient of LCE
4.4. Influence of the Initial Tangential Velocity
4.5. Influence of the Damping Coefficients
4.6. Influence of the Angle of Non-Illuminated Zone
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Conflicts of Interest
References
- Ding, W. Self-Excited Vibration; Tsing-Hua University Press: Beijing, China, 2009. [Google Scholar]
- Wu, H.; Lou, J.; Dai, Y.; Zhang, B.; Li, K. Bifurcation analysis in liquid crystal elastomer spring self-oscillators under linear light fields. Chaos Solitons Fractals 2024, 181, 114587. [Google Scholar] [CrossRef]
- Bai, C.; Kang, J.; Wang, Y.Q. Light-induced motion of three-dimensional pendulum with liquid crystal elastomeric fiber. Int. J. Mech. Sci. 2024, 266, 108911. [Google Scholar] [CrossRef]
- Yang, H.; Zhang, C.; Chen, B.; Wang, Z.; Xu, Y.; Xiao, R. Bioinspired design of stimuli-responsive artificial muscles with multiple actuation modes. Smart Mater. Struct. 2023, 32, 085023. [Google Scholar] [CrossRef]
- Wang, Y.; Liu, J.; Yang, S. Multi-functional liquid crystal elastomer composites. Appl. Phys. Rev. 2022, 9, 011301. [Google Scholar] [CrossRef]
- Wang, X.-Q.; Tan, C.F.; Chan, K.H.; Lu, X.; Zhu, L.; Kim, S.-W.; Ho, G.W. In-built thermo-mechanical cooperative feedback mechanism for self-propelled multimodal locomotion and electricity generation. Nat. Commun. 2018, 9, 1–10. [Google Scholar] [CrossRef]
- Ge, F.; Yang, R.; Tong, X.; Camerel, F.; Zhao, Y. A multifunctional dye-doped liquid crystal polymer actuator: Light-guided transportation, turning in locomotion, and autonomous motion. Angew. Chem. 2018, 130, 11932–11937. [Google Scholar] [CrossRef]
- Papangelo, A.; Putignano, C.; Hoffmann, N. Self-excited vibrations due to viscoelastic interactions. Mech. Syst. Signal Process. 2020, 144, 106894. [Google Scholar] [CrossRef]
- Fu, M.; Burkart, T.; Maryshev, I.; Franquelim, H.G.; Merino-Salomón, A.; Reverte-López, M.; Frey, E.; Schwille, P. Mechanochemical feedback loop drives persistent motion of liposomes. Nat. Phys. 2023, 19, 1211–1218. [Google Scholar] [CrossRef]
- Preston, D.J.; Jiang, H.J.; Sanchez, V.; Rothemund, P.; Rawson, J.; Nemitz, M.P.; Lee, W.-K.; Suo, Z.; Walsh, C.J.; Whitesides, G.M. A soft ring oscillator. Sci. Robot. 2019, 4, eaaw5496. [Google Scholar] [CrossRef]
- Liu, J.; Shi, F.; Song, W.; Dai, Y.; Li, K. Modeling of self-oscillating flexible circuits based on liquid crystal elastomers. Int. J. Mech. Sci. 2024, 270, 109099. [Google Scholar] [CrossRef]
- Wu, H.; Zhao, C.; Dai, Y.; Li, K. Modeling of a light-fueled self-paddling boat with a liquid crystal elastomer-based motor. Phys. Rev. E 2024, 109, 044705. [Google Scholar] [CrossRef]
- Korner, K.; Kuenstler, A.S.; Hayward, R.C.; Audoly, B.; Bhattacharya, K. A nonlinear beam model of photomotile structures. Proc. Natl. Acad. Sci. USA 2020, 117, 9762–9770. [Google Scholar] [CrossRef]
- Brighenti, R.; Artoni, F.; Cosma, M.P. Mechanics of materials with embedded unstable molecules. Int. J. Solids Struct. 2019, 162, 21–35. [Google Scholar] [CrossRef]
- Lee, V.; Bhattacharya, K. Actuation of cylindrical nematic elastomer balloons. J. Appl. Phys. 2021, 129, 114701. [Google Scholar] [CrossRef]
- Parrany, A.M. Nonlinear light-induced vibration behavior of liquid crystal elastomer beam. Int. J. Mech. Sci. 2018, 136, 179–187. [Google Scholar] [CrossRef]
- Bai, R.; Bhattacharya, K. Photomechanical coupling in photoactive nematic elastomers. J. Mech. Phys. Solids 2020, 144, 104115. [Google Scholar] [CrossRef]
- Lee, Y.; Koehler, F.; Dillon, T.; Loke, G.; Kim, Y.; Marion, J.; Antonini, M.J.; Garwood, I.C.; Sahasrabudhe, A.; Nagao, K. Magnetically Actuated Fiber-Based Soft Robots. Adv. Mater. 2023, 35, 2301916. [Google Scholar] [CrossRef]
- Zhao, D.; Liu, Y.; Liu, C. Transverse vibration of nematic elastomer Timoshenko beams. Phys. Rev. E 2017, 95, 012703. [Google Scholar] [CrossRef]
- Zheng, R.; Ma, L.; Feng, W.; Pan, J.; Wang, Z.; Chen, Z.; Zhang, Y.; Li, C.; Chen, P.; Bisoyi, H.K. Autonomous Self-Sustained Liquid Crystal Actuators Enabling Active Photonic Applications. Adv. Funct. Mater. 2023, 33, 2301142. [Google Scholar] [CrossRef]
- Serak, S.; Tabiryan, N.; Vergara, R.; White, T.J.; Vaia, R.A.; Bunning, T.J. Liquid crystalline polymer cantilever oscillators fueled by light. Soft Matter 2010, 6, 779–783. [Google Scholar] [CrossRef]
- Haberl, J.M.; Sánchez-Ferrer, A.; Mihut, A.M.; Dietsch, H.; Hirt, A.M.; Mezzenga, R. Liquid-crystalline elastomer-nanoparticle hybrids with reversible switch of magnetic memory. Adv. Funct. Mater. 2013, 25, 1787–1791. [Google Scholar] [CrossRef]
- Tang, R.; Liu, Z.; Xu, D.; Liu, J.; Yu, L.; Yu, H. Optical pendulum generator based on photomechanical liquid-crystalline actuators. ACS Appl. Mater. Interfaces 2015, 7, 8393–8397. [Google Scholar] [CrossRef]
- Hou, W.; Wang, J.; Lv, J. Bioinspired liquid crystalline spinning enables scalable fabrication of high-performing fibrous artificial muscles. Adv. Mater. 2023, 35, 2211800. [Google Scholar] [CrossRef]
- Cheng, Y.C.; Lu, H.C.; Lee, X.; Zeng, H.; Priimagi, A. Kirigami-based light-induced shape-morphing and locomotion. Adv. Mater. 2020, 32, 1906233. [Google Scholar] [CrossRef]
- Vantomme, G.; Gelebart, A.; Broer, D.; Meijer, E. A four-blade light-driven plastic mill based on hydrazone liquid-crystal networks. Tetrahedron 2017, 73, 4963–4967. [Google Scholar] [CrossRef]
- Hauser, A.W.; Sundaram, S.; Hayward, R.C. Photothermocapillary oscillators. Phys. Rev. Lett. 2018, 121, 158001. [Google Scholar] [CrossRef]
- Shin, B.; Ha, J.; Lee, M.; Park, K.; Park, G.H.; Choi, T.H.; Cho, K.-J.; Kim, H.-Y. Hygrobot: A self-locomotive ratcheted actuator powered by environmental humidity. Sci. Robot. 2018, 3, eaar2629. [Google Scholar] [CrossRef]
- Kuenstler, A.S.; Chen, Y.; Bui, P.; Kim, H.; DeSimone, A.; Jin, L.; Hayward, R.C. Blueprinting photothermal shape-morphing of liquid crystal elastomers. Adv. Mater. 2020, 32, 2000609. [Google Scholar] [CrossRef]
- Hua, M.; Kim, C.; Du, Y.; Wu, D.; Bai, R.; He, X. Swaying gel: Chemo-mechanical self-oscillation based on dynamic buckling. Matter 2021, 4, 1029–1041. [Google Scholar] [CrossRef]
- Kim, Y.; van den Berg, J.; Crosby, A.J. Autonomous snapping and jumping polymer gels. Nat. Mater. 2021, 20, 1695–1701. [Google Scholar] [CrossRef]
- Pathak, S.; Jain, K.; Pant, R. Improved magneto-viscoelasticity of cross-linked PVA hydrogels using magnetic nanoparticles. Colloids Surf. A Physicochem. Eng. Asp. 2018, 539, 273–279. [Google Scholar]
- Jin, B.; Liu, J.; Shi, Y.; Chen, G.; Zhao, Q.; Yang, S. Solvent-assisted 4D programming and reprogramming of liquid crystalline organogels. Adv. Mater. 2022, 34, 2107855. [Google Scholar] [CrossRef] [PubMed]
- Wang, Y.; Yin, R.; Jin, L.; Liu, M.; Gao, Y.; Raney, J.; Yang, S. 3D-Printed Photoresponsive Liquid Crystal Elastomer Composites for Free-Form Actuation. Adv. Funct. Mater. 2023, 33, 2210614. [Google Scholar] [CrossRef]
- Wang, L.; Wei, Z.; Xu, Z.; Yu, Q.; Wu, Z.L.; Wang, Z.; Qian, J.; Xiao, R. Shape Morphing of 3D Printed Liquid Crystal Elastomer Structures with Precuts. ACS Appl. Polym. Mater. 2023, 5, 7477–7484. [Google Scholar] [CrossRef]
- Dai, L.; Wang, L.; Chen, B.; Xu, Z.; Wang, Z.; Xiao, R. Shape memory behaviors of 3D printed liquid crystal elastomers. Soft Sci. 2023, 3, 4. [Google Scholar]
- Chakrabarti, A.; Choi, G.P.; Mahadevan, L. Self-excited motions of volatile drops on swellable sheets. Phys. Rev. Lett. 2020, 124, 258002. [Google Scholar] [CrossRef]
- Guo, Y.; Liu, N.; Cao, Q.; Cheng, X.; Zhang, P.; Guan, Q.; Zheng, W.; He, G.; Chen, J. Photothermal diol for NIR-responsive liquid crystal elastomers. ACS Appl. Polym. Mater. 2022, 4, 6202–6210. [Google Scholar] [CrossRef]
- Cui, Y.; Yin, Y.; Wang, C.; Sim, K.; Li, Y.; Yu, C.; Song, J. Transient thermo-mechanical analysis for bimorph soft robot based on thermally responsive liquid crystal elastomers. Appl. Math. Mech. 2019, 40, 943–952. [Google Scholar] [CrossRef]
- Zhao, D.; Liu, Y. A prototype for light-electric harvester based on light sensitive liquid crystal elastomer cantilever. Energy 2020, 198, 117351. [Google Scholar] [CrossRef]
- Lu, X.; Zhang, H.; Fei, G.; Yu, B.; Tong, X.; Xia, H.; Zhao, Y. Liquid-crystalline dynamic networks doped with gold nanorods showing enhanced photocontrol of actuation. Adv. Mater. 2018, 30, 1706597. [Google Scholar] [CrossRef]
- Kageyama, Y.; Ikegami, T.; Satonaga, S.; Obara, K.; Sato, H.; Takeda, S. Light-Driven Flipping of Azobenzene Assemblies—Sparse Crystal Structures and Responsive Behaviour to Polarised Light. Chem. A Eur. J. 2020, 26, 10759–10768. [Google Scholar] [CrossRef] [PubMed]
- Gelebart, A.H.; Jan Mulder, D.; Varga, M.; Konya, A.; Vantomme, G.; Meijer, E.; Selinger, R.L.; Broer, D.J. Making waves in a photoactive polymer film. Nature 2017, 546, 632–636. [Google Scholar] [CrossRef] [PubMed]
- Wang, Y.; Dang, A.; Zhang, Z.; Yin, R.; Gao, Y.; Feng, L.; Yang, S. Repeatable and reprogrammable shape morphing from photoresponsive gold nanorod/liquid crystal elastomers. Adv. Mater. 2020, 32, 2004270. [Google Scholar] [CrossRef] [PubMed]
- Pilz da Cunha, M.; Peeketi, A.R.; Ramgopal, A.; Annabattula, R.K.; Schenning, A.P. Light-Driven Continual Oscillatory Rocking of a Polymer Film. ChemistryOpen 2020, 9, 1149–1152. [Google Scholar] [CrossRef] [PubMed]
- Manna, R.K.; Shklyaev, O.E.; Balazs, A.C. Chemical pumps and flexible sheets spontaneously form self-regulating oscillators in solution. Proc. Natl. Acad. Sci. USA 2021, 118, e2022987118. [Google Scholar] [CrossRef] [PubMed]
- Li, Z.; Myung, N.V.; Yin, Y. Light-powered soft steam engines for self-adaptive oscillation and biomimetic swimming. Sci. Robot. 2021, 6, eabi4523. [Google Scholar] [CrossRef] [PubMed]
- Wu, H.; Zhang, B.; Li, K. Synchronous behaviors of three coupled liquid crystal elastomer-based spring oscillators under linear temperature fields. Phys. Rev. E 2024, 109, 024701. [Google Scholar] [CrossRef] [PubMed]
- Bazir, A.; Baumann, A.; Ziebert, F.; Kulić, I.M. Dynamics of fiberboids. Soft Matter 2020, 16, 5210–5223. [Google Scholar] [CrossRef] [PubMed]
- Qiu, Y.; Wu, H.; Dai, Y.; Li, K. Behavior prediction and inverse design for self-rotating skipping ropes based on random forest and neural network. Mathematics 2024, 12, 1019. [Google Scholar] [CrossRef]
- Liu, X.; Liu, Y. Spontaneous photo-buckling of a liquid crystal elastomer membrane. Int. J. Mech. Sci. 2021, 201, 106473. [Google Scholar] [CrossRef]
- Wu, H.; Zhao, C.; Dai, Y.; Li, K. Light-fueled self-fluttering aircraft with a liquid crystal elastomer-based engine. Commun. Nonlinear Sci. Numer. Simul. 2024, 132, 107942. [Google Scholar] [CrossRef]
- Kumar, K.; Knie, C.; Bléger, D.; Peletier, M.A.; Friedrich, H.; Hecht, S.; Broer, D.J.; Debije, M.G.; Schenning, A.P. A chaotic self-oscillating sunlight-driven polymer actuator. Nat. Commun. 2016, 7, 11975. [Google Scholar] [CrossRef] [PubMed]
- Wu, H.; Dai, Y.; Li, K.; Xu, P. Theoretical study of chaotic jumping of liquid crystal elastomer ball under periodic illumination. Nonlinear Dyn. 2024, 112, 7799–7815. [Google Scholar] [CrossRef]
- Xu, P.; Chen, Y.; Wu, H.; Dai, Y.; Li, K. Chaotic motion behaviors of liquid crystal elastomer pendulum under periodic illumination. Results Phys. 2024, 56, 107332. [Google Scholar] [CrossRef]
- Liao, B.; Zang, H.; Chen, M.; Wang, Y.; Lang, X.; Zhu, N.; Yang, Z.; Yi, Y. Soft rod-climbing robot inspired by winding locomotion of snake. Soft Robot. 2020, 7, 500–511. [Google Scholar] [PubMed]
- Wehner, M.; Truby, R.L.; Fitzgerald, D.J.; Mosadegh, B.; Whitesides, G.M.; Lewis, J.A.; Wood, R.J. An integrated design and fabrication strategy for entirely soft, autonomous robots. Nature 2016, 536, 451–455. [Google Scholar] [CrossRef] [PubMed]
- Nocentini, S.; Parmeggiani, C.; Martella, D.; Wiersma, D.S. Optically driven soft micro robotics. Adv. Opt. Mater. 2018, 6, 1800207. [Google Scholar] [CrossRef]
- Liao, W.; Yang, Z. The integration of sensing and actuating based on a simple design fiber actuator towards intelligent soft robots. Adv. Mater. Technol. 2022, 7, 2101260. [Google Scholar] [CrossRef]
- Bartlett, N.W.; Tolley, M.T.; Overvelde, J.T.; Weaver, J.C.; Mosadegh, B.; Bertoldi, K.; Whitesides, G.M.; Wood, R.J. A 3D-printed, functionally graded soft robot powered by combustion. Science 2015, 349, 161–165. [Google Scholar] [CrossRef]
- He, Q.; Yin, R.; Hua, Y.; Jiao, W.; Mo, C.; Shu, H.; Raney, J.R. A modular strategy for distributed, embodied control of electronics-free soft robots. Sci. Adv. 2023, 9, eade9247. [Google Scholar] [CrossRef]
- Herbert, K.M.; Fowler, H.E.; McCracken, J.M.; Schlafmann, K.R.; Koch, J.A.; White, T.J. Synthesis and alignment of liquid crystalline elastomers. Nat. Rev. Mater. 2022, 7, 23–38. [Google Scholar] [CrossRef]
- He, Q.; Wang, Z.; Wang, Y.; Wang, Z.; Li, C.; Annapooranan, R.; Zeng, J.; Chen, R.; Cai, S. Electrospun liquid crystal elastomer microffber actuator. Sci. Robot 2021, 6, eabi9704. [Google Scholar] [CrossRef] [PubMed]
- Chun, S.; Pang, C.; Cho, S.B. A micropillar-assisted versatile strategy for highly sensitive and efficient triboelectric energy generation under in-plane stimuli. Adv. Mater. 2020, 32, 1905539. [Google Scholar] [CrossRef] [PubMed]
- Sun, J.; Wang, Y.; Liao, W.; Yang, Z. Ultrafast, high-contractile electrothermal-driven liquid crystal elastomer fibers towards artificial muscles. Small 2021, 17, 2103700. [Google Scholar] [CrossRef] [PubMed]
- Zhao, D.; Liu, Y. Effects of director rotation relaxation on viscoelastic wave dispersion in nematic elastomer beams. Math. Mech. Solids 2019, 24, 1103–1115. [Google Scholar] [CrossRef]
- Wu, H.; Lou, J.; Zhang, B.; Dai, Y.; Li, K. Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field. Appl. Math. Mech. 2024, 45, 337–354. [Google Scholar] [CrossRef]
- Yong, Y.; Hu, H.; Dai, Y.; Li, K. Modeling the light-powered self-rotation of a liquid crystal elastomer fiber-based engine. Phys. Rev. E 2024, 109, 034701. [Google Scholar]
- Menard, K.P.; Menard, N. Dynamic Mechanical Analysis; CRC Press: Boca Raton, FL, USA, 2020. [Google Scholar]
- Warner, M.; Terentjev, E.M. Liquid Crystal Elastomers; Oxford University Press: Oxford, UK, 2007. [Google Scholar]
- Merritt, I.C.; Jacquemin, D.; Vacher, M. Cis→ trans photoisomerisation of azobenzene: A fresh theoretical look. Phys. Chem. Chem. Phys. 2021, 23, 19155–19165. [Google Scholar] [CrossRef] [PubMed]
- Bandara, H.M.; Burdette, S.C.; Burdette, S.C. Photoisomerization in different classes of azobenzene. Chem. Soc. Rev. 2012, 41, 1809–1825. [Google Scholar] [CrossRef]
- Finkelmann, H.; Nishikawa, E.; Pereira, G.; Warner, M. A new opto-mechanical effect in solids. Phys. Rev. Lett. 2001, 87, 015501. [Google Scholar] [CrossRef]
- Chen, B.; Liu, C.; Xu, Z.; Wang, Z.; Xiao, R. Modeling the thermo-responsive behaviors of polydomain and monodomain nematic liquid crystal elastomers. Mech. Mater. 2024, 188, 104838. [Google Scholar] [CrossRef]
- Nägele, T.; Hoche, R.; Zinth, W.; Wachtveitl, J. Femtosecond photoisomerization of cis-azobenzene. Chem. Phys. Lett. 1997, 272, 489–495. [Google Scholar] [CrossRef]
- Braun, L.B.; Hessberger, T.; Pütz, E.; Müller, C.; Giesselmann, F.; Serra, C.A.; Zentel, R. Actuating thermo-and photo-responsive tubes from liquid crystalline elastomers. J. Mater. Chem. C 2018, 6, 9093–9101. [Google Scholar] [CrossRef]
- Zhao, T.; Zhang, Y.; Fan, Y.; Wang, J.; Jiang, H.; Lv, J.-a. Light-modulated liquid crystal elastomer actuator with multimodal shape morphing and multifunction. J. Mater. Chem. C 2022, 10, 3796–3803. [Google Scholar] [CrossRef]
- Jampani, V.; Volpe, R.; Reguengo de Sousa, K.; Ferreira Machado, J.; Yakacki, C.; Lagerwall, J. Liquid crystal elastomer shell actuators with negative order parameter. Sci. Adv. 2019, 5, eaaw2476. [Google Scholar] [CrossRef]
Parameter | Definition | Value | Unit |
---|---|---|---|
light intensity | 0~80 | kW/m2 | |
contraction coefficient of LCE fiber | 0~0.5 | / | |
elastic coefficient of LCE fiber | 20~40 | N/m | |
Cis to trans thermal relaxation time | 0.02~0.45 | s | |
light absorption constant | 0.002 | m2/(s·W) | |
mass of sliding mass | 0~0.02 | kg | |
linear damping coefficient | 0~0.3 | kg/s | |
quadratic damping coefficient | 0~0.15 | kg/m | |
initial tangential velocity | 0~2.5 | m/s | |
angle of non-illuminated zone | 0~0.5 | rad | |
radius of circular track | 0.01~0.15 | m | |
original length of LCE fiber | 0.1~0.5 | m |
Parameter | |||||||
---|---|---|---|---|---|---|---|
Value | 0~5 | 0~0.5 | 0~10 | 0~1 | 0~0.2 | 0~0.1 | 0~0.5 |
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Wei, L.; Hu, J.; Wang, J.; Wu, H.; Li, K. Theoretical Analysis of Light-Actuated Self-Sliding Mass on a Circular Track Facilitated by a Liquid Crystal Elastomer Fiber. Polymers 2024, 16, 1696. https://doi.org/10.3390/polym16121696
Wei L, Hu J, Wang J, Wu H, Li K. Theoretical Analysis of Light-Actuated Self-Sliding Mass on a Circular Track Facilitated by a Liquid Crystal Elastomer Fiber. Polymers. 2024; 16(12):1696. https://doi.org/10.3390/polym16121696
Chicago/Turabian StyleWei, Lu, Junjie Hu, Jiale Wang, Haiyang Wu, and Kai Li. 2024. "Theoretical Analysis of Light-Actuated Self-Sliding Mass on a Circular Track Facilitated by a Liquid Crystal Elastomer Fiber" Polymers 16, no. 12: 1696. https://doi.org/10.3390/polym16121696