| 研究生: |
楊孔仁 Yang, Kung-Ren |
|---|---|
| 論文名稱: |
固態與液態鐘擺型黏彈頻譜儀之研究 STUDY OF PENDULUM-TYPE VISCOELASTIC SPECTROSCOPY FOR SOLIDS AND FLUIDS |
| 指導教授: |
王雲哲
Wang, Yun-Che |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 土木工程學系 Department of Civil Engineering |
| 論文出版年: | 2019 |
| 畢業學年度: | 107 |
| 語文別: | 英文 |
| 論文頁數: | 98 |
| 中文關鍵詞: | 線性黏彈固體 、非牛頓流體 、流變 、複變黏滯係數 、複變模數 、正切消散模數 |
| 外文關鍵詞: | Linear viscoelasticity solid, Non-Newtonian fluid, Rheology, Complex viscosity, Complex modulus, Loss tangent |
| 相關次數: | 點閱:151 下載:1 |
| 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 |
鐘擺型黏彈頻譜儀(PVS)為一種在不同溫度下,藉由頻率掃描,測量固體黏彈性質的儀器,鐘擺型液體黏彈頻譜儀(LPVS)是用以測量液體黏彈性質之儀器。兩者實驗方式皆以線圈與磁鐵的磁交互作用,使一懸臂樑轉子產生週期性振動,再以雷射位移量測系統精準紀錄其位轉子之變形量,因此可獲得不同頻率下的應力與應變關係。磁交互作用是來自於永久磁鐵及荷姆赫茲線圈所產生的磁場,因此可實現在高頻率下,對試體產生扭矩及純彎矩的加載。對於鐘擺型黏彈頻譜儀,懸臂樑轉子為細長的待測試體。為了防止相對柔軟的物體在測量期間挫曲或其他重力場的影響,PVS試體以鐘擺方式振動,但LPVS轉子以逆鐘擺方式振動。鐘擺型液體黏彈頻譜儀的懸臂樑轉子為一個材料性質已知的固體,藉由轉子與周圍液體環境的交互作用,測量液體的流變性質,以及奈米顆粒懸浮液裡的顆粒大小。本論文探討在LPVS機台建立加熱裝置,測量高溫下試體的流變性質,也提出新轉子的設計,以期未來可用於不同的應用之中。此外,本論文亦對不同的材料系統進行探討,以PVS測量並分析(1)瓦楞紙不同軸向的性質,(2)輪胎橡膠固體的黏彈性質,(3)硬化後水泥漿的時依性質。在100Hz時,瓦楞紙橫向動態楊氏模數jE j =600 MPa,機器向jE j =210 MPa,剪力模數jG j分別為100,50MPa,在扭力與純彎曲變形下,瓦楞紙的正切消散模數各別約為0.042和0.048。本論文亦以LPVS測量並分析(1)凝膠在升溫下的流變性質,(2)奈米顆粒於懸浮液中的粒徑分析。另外,本論文使用LPVS和PVS量測與分析保麗龍膠其液態與固態的黏彈性質之變化,在液態時,其正切消散模數在0.01Hz約為1000,在100Hz約為1,固化後的保麗龍膠其正切消散模數在0.01至100Hz間約為0.5至0.05。此外。本論文亦提出一個機器深度學習的方法,分析懸浮液中的奈米顆粒粒徑以及其分散狀態。
Pendulum-type viscoelastic spectroscopy (PVS) and liquid pendulum-type viscoelastic spectroscopy(LPVS) are developed to measure the viscoelasticity of solids and fluids, respectively,in a frequency sweep at various temperatures. Both experimental methods utilize magnetic interactionto general mechanical vibrations of a cantilever beam, and its deformation is recordedthrough a laser-based displacement measurement system. The magnetic interaction between apermanent magnet and Helmholtz coil can achieve high-frequency driving torque or pure bending moment. For PVS, the cantilever beam is the specimen under testing. For LPVS, the cantilever beam is made of a known material, and interactions between the beam and its surrounding liquid give rise to its rheological properties. In addition to rheological properties, LPVS is also capable of determining the size of nanoparticles in colloidal suspension. Experiments at elevated temperature for LPVS were achieved by wrapping a heating tape around the container that holds the liquid sample. In this work, several new designs of LPVS core components were attempted, and their performances were analyzed. In addition, several samples were studied. Fresh and hardened cement paste were experimentally studied by LPVS and PVS, respectively. A class of glue at its liquid state and hardened state was also investigated. Furthermore, PVS was adopted to study the viscoelastic properties of corrugated cardboard and tire rubber. For the corrugated cardboard, it was obtained that, at 100 Hz, dynamic Young’s modulus jE_j = 600 MPa in cross direction, and jE_j = 210 MPa in machine direction. And dynamic shear modulus jG_j are 100 and 50 MPa. Furthermore, the cardboard showed tan _ about 0.048 in bending mode and 0.042 in torsion mode. For the tire rubber, its damping was measured about 0.1 around 100 Hz. LPVS was utilized to study the rheological properties of nanoparticle colloidal suspensions, glue and a kind of shower gel. For glue specimen at its liquid phase, we measure the value of tan _ decreases from about 103 at 0.01 Hz to 1 at 100 Hz. For hardened glue, its loss tangent is about 0.5 to 0.05 between 0.01 and 100 Hz. In addition, a machine deep learning method is proposed to analyze the particle size and its distribution in colloidal suspensions.
[1] Roderic S Lakes. Viscoelastic measurement techniques. Review of scientific instruments, 75(4):797–810, 2004.
[2] J Woirgard, Y Sarrazin, and H Chaumet. Apparatus for the measurement of internal fric- tion as a function of frequency between 10- 5 and 10 hz. Review of Scientific Instruments, 48(10):1322–1325, 1977.
[3] M Brodt, LS Cook, and RS Lakes. Apparatus for measuring viscoelastic properties over ten decades: refinements. Review of Scientific Instruments,66(11):5292–5297, 1995.
[4] PM Buechner, RS Lakes, C Swan, and RA Brand. A broadband viscoelastic spectroscopic study of bovine bone: implications for fluid flow. Annals of Biomedical Engineering, 29(8):719–728, 2001.
[5] WP Cox and EH Merz. Correlation of dynamic and steady flow viscosities. Journal of Polymer Science, 28(118):619–622, 1958.
[6] Tz Chian Kao. Particle size analysis of nanofluids via liquid pendulum type viscoelastic spectroscopy. Master’s thesis, National Cheng Kung University civil enginning, 2018.
[7] J. Ma, X. Huang, H. Bae, Y. Zheng, C. Liu, M. Zhao, and Miao Yu. Liquid viscosity measurement using a vibrating flexure hinged structure and a fiber-optic sensor. IEEE Sensors Journal, 16(13):5249–5258, 2016.
[8] Roderic S Lakes. Viscoelastic solids, volume 9. CRC press, 1998.
[9] J. Krishnan, A. Deshpande, and P. Kumar. Rheology of Complex Fluids. Springer, 2010.
[10] A Nachman and A Callegari. A nonlinear singular boundary value problem in the theory of pseudoplastic fluids. SIAM Journal on Applied Mathematics, 38(2):275–281, 1980.
[11] H Henning Winter. Three views of viscoelasticity for cox–merz materials. Rheologica acta, 48(3):241–243, 2009.
[12] EJ Hinch. Lecture 1: Introduction.
[13] P. Kao. Studies of Pendulum-type Viscoelastic Spectroscopy for Fluids. NCKU Master’s Degree Thesis, 7 2016.
[14] R. Byron Bird, Robert C. Armstrong, and Ole Hassager. Dynamics of Polymeric Liquids, Volume 1: Fluid Mechanics. Wiley-Interscience, 1987.
[15] Howard A Barnes. A handbook of elementary rheology. University of Wales, Institute of Non-Newtonian Fluid Mechanics, 2000.
[16] Heather Shewan. Rheology of soft particle suspensions. Thesis of the University of Queensland,2015.
[17] Samir Allaoui, Zoheir Aboura, and ML Benzeggagh. Effects of the environmental conditions on the mechanical behavior of the corrugated cardboard. Composites Science and Technology, 69(1):104–110, 2009.
[18] Zoheir Aboura, Nabil Talbi, Samir Allaoui, and ML Benzeggagh. Elastic behavior of corrugated cardboard: experiments and modeling. Composite structures, 63(1):53–62, 2004.
[19] Arthur R Payne. The dynamic properties of carbon black-loaded natural rubber vulcanizates. part i. Journal of applied polymer science, 6(19):57–63, 1962.
[20] P Taborek, RN Kleiman, and DJ Bishop. Power-law behavior in the viscosity of super- cooled liquids. Physical Review B, 34(3):1835, 1986.
[21] D. Goo´mez-D´´ıaz, J. Navaza, and L. C Quintaa´ns-Riveiro. Effect of temperature on the viscosity of honey. International Journal of Food Properties, 12(2):396–404, 2009.
[22] E. Soto-Castruita, P. V Ram´´ırez-Gonzalez, U. Mart´´ınez-Cortes, and S. E Quinones-Cisneros. Effect of the temperature on the non-newtonian behavior of heavy oils. Energy & Fuels, 29(5):2883–2889, 2015.