| 研究生: |
陳詩潔 Chen, Shih-Chieh |
|---|---|
| 論文名稱: |
壓電複合型懸臂樑熱彈性阻尼分析 Analysis of Thermoelastic Damping in Composite Piezoelectric Cantilever Beam |
| 指導教授: |
李旺龍
Li, Wang-Long |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 材料科學及工程學系 Department of Materials Science and Engineering |
| 論文出版年: | 2021 |
| 畢業學年度: | 109 |
| 語文別: | 中文 |
| 論文頁數: | 137 |
| 中文關鍵詞: | 壓電懸臂樑 、熱彈性阻尼 、壓電效應 、驅動模式 |
| 外文關鍵詞: | piezoelectric cantilever, thermoelastic damping, piezoelectric effect,, driving mode |
| 相關次數: | 點閱:163 下載:0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
隨著醫療科技的發展,人們為了降低侵入式的檢查及治療所帶來的不適感及降低治療可能造成後遺症,並加快復原的速度,醫療用微型機器人成為一個熱門的發展趨勢,而這些微型機器人必須有諧振器作為其運轉及蒐集數據資料的功能,驅動此機器人最重要的便是超音波馬達,而驅動其運作的便是壓電材料所製成的微機電元件,由於其應用於人體當中,人們對微型機器人的操作及追蹤能力尚不足,為此微諧振器穩定性發展尤為重要。為了提高其穩定性需更加深入了解其振盪過程中所造成的能量耗散。
本研究將建立壓電懸臂樑熱彈性阻尼的模型,分析材料熱特性及壓電應力常數的影響。分為以下幾個部分討論:第一、分析電壓及壓電應力常數在穩態下對不同驅動模式變形影響,第二、分析單層熱彈性材料參數及壓電應力常數的影響,第三、分析尺寸效應對特徵頻率、阻尼因子及品質因子影響,第四、分析複合壓電懸臂樑,帶有質量塊及三層非對稱結構壓電懸臂樑對不同驅動模式的表現。
從模擬可知,壓電效應使材料變形所造成的熱應力作用明顯,不可忽略,因此將探討材料熱特性及方向性對壓電懸臂樑熱彈性阻尼影響,且對於不同壓電懸臂樑驅動模式有不同程度上的變化,因此深入分析其對熱彈性阻尼的影響。
The piezoelectric thermoelastic damping model is established, and the influence of different axis’s thermal properties is an important index of thermoelastic damping. In steady-state analysis, the research shows different driving mode of piezoelectric cantilever, and different electromechanical coupling coefficient’s influence. The dynamic analysis, we shows the transversely isotropic thermal properties have the significant influence when the piezoelectric thermoelastic damping. The composites piezoelectric discusses the influence piezoelectric material in different layer and a mass damper in different site’s influences.
In the research, thermal expansion coefficient has the significant influence in the length. Thermal conductivity coefficient has the significant in the thick. When the piezoelectric beam in high vibration modes has different influence.
[1].M. Imboden, P. Mohanty, “Dissipation in nanoelectromechanical systems.” Physics Reports, 534(3), pp. 89-146, 2014.
[2].J. E. Bishop and V. K. Kinra, “Elastothermodynamic damping in laminated composites.” International Journal of Solids and Structures, vol. 34, no. 9, pp. 1075-1092, 1997.
[3].J. Curie and P. Curie, “Développement par compression de l'électricité polaire dans les cristaux hémièdres à faces inclinées.” Bulletin de minéralogie, 3(4), pp. 90-93, 1880.
[4].Voigt, Woldemar. Lehrbuch der kristallphysik:(mit ausschluss der kristalloptik). Vol. 34. BG Teubner, 1910.
[5].C. Constantin and L. Paul, U.S. Patent No. 1,471,547. Washington, DC: U.S. Patent and Trademark Office, 1923.
[6].R. D. Mindlin, “Equations of high frequency vibrations of thermopiezoelectric crystal plates.” International Journal of Solids and Structures, 10(6), pp. 625-637, 1974.
[7].M. Brissaud, “Characterization of piezoceramics.” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 38(6), pp. 603-617, 1991.
[8].J. G. Smits, and W. S.Choi,. “The constituent equations of piezoelectric heterogeneous bimorphs.” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 38(3), pp. 256-270, 1991.
[9].A. Ballato and J. G. Smits, “Network representation for piezoelectric bimorphs.” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 38(6), pp. 595-602, 1991.
[10].J. G.Smits and A. Ballato, “Dynamic admittance matrix of piezoelectric cantilever bimorphs.” Journal of Microelectromechanical systems, 3(3), pp. 105-112, 1994.
[11].X. D. Zhang and C. T. Sun, “Formulation of an adaptive sandwich beam.” Smart Materials and Structures, 5(6), pp. 814, 1996.
[12].N. N. Rogacheva, C. C. Chou, S. H. Chang, “Electromechanical analysis of a symmetric piezoelectric/elastic laminate structure: theory and experiment.” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 45(2), pp. 285-294, 1998.
[13].H. Y. Lin, J. H.Huang, , and C. C. Ma, “Vibration analysis of piezoelectric materials by optical methods.” IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 49(8), pp. 1139-1149, 2002.
[14].A. L. Araújo, C. M. Soares, J. Herskovits, and P. Pedersen, “Development of a finite element model for the identification of mechanical and piezoelectric properties through gradient optimisation and experimental vibration data.” Composite Structures, 58(3), pp. 307-318, 2002.
[15].L. Burianova, A. Kopal, , and J. Nosek, “Characterization of advanced piezoelectric materials in the wide temperature range.” Materials Science and Engineering: B, 99(1-3), pp. 187-191, 2003.
[16].X. Guo , S. Wang, L. Sun, and D. Cao, “Dynamic responses of a piezoelectric cantilever plate under high–low excitations.” Acta Mechanica Sinic, 36(1), pp. 234-244, 2020.
[17].Z. Y. Zhong, J. P. Zhou, and H. L. Zhang, “Thermoelastic damping in functionally graded microbeam resonators.” IEEE Sensors Journal, 17(11), pp. 3381-3390, 2017.
[18].L. D. Landau, E. M. Lifshitz, Theory of elasticity, 1959.
[19].C. Zener, “Internal Friction in Solids. I. Theory of Internal Friction in Reeds, ” Physical Review, vol. 52, no. 3, pp. 230-235, 1937.
[20].C. Zener, “Internal friction in solids II. General theory of thermoelastic internal friction,’’ Physical Review, vol. 52, no. 1, pp. 90-99, 1938.
[21].R. Lifshitz and ML.Roukes, “Thermoelastic damping in micro- and nanomechanical systems,” Physical Review B, vol. 61, no. 8, pp. 5600-5609, 2000.
[22].A. H. Nayfeh, and M. I. Younis, “Modeling and simulations of thermoelastic damping in microplates.” Journal of micromechanics and microengineering, 14(12), pp. 1711, 2004.
[23].S. Prabhakar and S. Vengallatore, “Theory of thermoelastic damping in micromechanical resonators with two-dimensional heat conduction,’’ Journal of Microelectromechanical Systems, vol. 17, no. 2, pp. 494-502, 2008.
[24].S. A. Chandorkar, R. N. Candler, A. Duwel, R. Melamud, M. Agarwal, K. E. Goodson, and T. W. Kenny, “Multimode thermoelastic dissipation.” Journal of applied physics, 105(4), 043505, 2009.
[25].T. V. Roszhart, “The effect of thermoelastic internal friction on the Q of micromachined silicon resonators.” IEEE 4th Technical Digest on Solid-State Sensor and Actuator Workshop, 1990.
[26].J. E. Bishop, and V. K. Kinra, “Thermoelastic damping of a laminated beam in flexure and extension.” Journal of Reinforced Plastics and Composites, 12(2), pp. 210-226, 1993.
[27].J. E. Bishop, and V. K. Kinra, “Elastothermodynamic damping in laminated composites.” International journal of solids and structures, 34(9), pp. 1075-1092, 1997.
[28].S. Vengallatore, “Analysis of thermoelastic damping in laminated composite micromechanical beam resonators. Journal of Micromechanics and Microengineering, 15(12), pp. 2398, 2005.
[29].S. Prabhakar, and S. Vengallatore, “Thermoelastic damping in bilayered micromechanical beam resonators.” Journal of Micromechanics and Microengineering, 17(3), pp. 532, 2007.
[30].Z. Nourmohammadi, S. Prabhakar, and S. Vengallatore, “Thermoelastic damping in layered microresonators: critical frequencies, peak values, and rule of mixture.” Journal of microelectromechanical systems, 22(3), pp. 747-754, 2013.
[31].W. Zuo, P. Li,Y. Fang, and J. Zhang, “Thermoelastic damping in asymmetric three-layered microbeam resonators.” Journal of Applied Mechanics, 83(6), 2016.
[32].S. Kumar, and M. A. Haque, “Reduction of thermo-elastic damping with a secondary elastic field.” Journal of sound and vibration, 318(3), pp. 423-427, 2008.
[33].S. P. Timoshenko, “LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars.” The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 41(245), pp. 744-746, 1921.
[34].C. V. Massalas, and V. K. Kalpakidis, “Coupled thermoelastic vibrations of a Timoshenko beam.” International journal of engineering science, 22(4), pp. 459-465, 1984.
[35].C. W. Lim, C. M. Wang, and S. Kitipornchai, “Timoshenko curved beam bending solutions in terms of Euler-Bernoulli solutions.” Archive of Applied Mechanics, 67(3), pp. 179-190, 1997.
[36].S. Abbasion, A. Rafsanjani, R. Avazmohammadi, and A. Farshidianfar, “Free vibration of microscaled Timoshenko beams.” Applied Physics Letters, 95(14), 143122, 2009.
[37].D. V. Parayil, S. S. Kulkarni, and D. N. Pawaskar, “Analytical and numerical solutions for thick beams with thermoelastic damping.” International Journal of Mechanical Sciences, 94, pp. 10-19, 2015.
[38].A. A. Emami , and A. Alibeigloo, “Exact solution for thermal damping of functionally graded Timoshenko microbeams.” Journal of Thermal Stresses, 39(2), pp. 231-243, 2016.
[39].H. Matsunaga, “Free vibration and stability of thin elastic beams subjected to axial forces.” Journal of Sound and Vibration, 191(5), pp. 917-933, 1996.
[40].L. LI, and C. T. HAO, “Constraints on anisotropic parameters in transversely isotropic media and the extensions to orthorhombic media.” Chinese Journal of Geophysics, 54(6), pp. 798-809, 2011.
[41].J. N. Sharma, “Thermoelastic damping and frequency shift in micro/nanoscale anisotropic beams.” Journal of Thermal Stresses, 34(7), pp. 650-666, 2011.
[42].D. Grover, and J. N. Sharma, “Transverse vibrations in piezothermoelastic beam resonators.” Journal of intelligent material systems and structures, 23(1), pp. 77-84, 2012.
[43].D. Grover, “Clamped-free micro-scale transversely isotropic thermoelastic beam resonators.” Microsystem Technologies, 25(11), pp. 4269-4276, 2019.
[44].K. L. Verma, and N. Hasebe, “On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times.” Journal of Applied Mathematics, 2004(1), pp. 69-83, 2004.
[45].H. E. Rosinger, and I. G. Ritchie, “On Timoshenko's correction for shear in vibrating isotropic beams.” Journal of Physics D: Applied Physics, 10(11), pp. 1461, 1977.
校內:2026-08-27公開