請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/52533
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 陳振山(Jen-San Chen) | |
dc.contributor.author | Jhong-Yi Liou | en |
dc.contributor.author | 劉忠義 | zh_TW |
dc.date.accessioned | 2021-06-15T16:17:43Z | - |
dc.date.available | 2017-08-20 | |
dc.date.copyright | 2015-08-20 | |
dc.date.issued | 2015 | |
dc.date.submitted | 2015-08-17 | |
dc.identifier.citation | [1] Nour-Omid, B., Rankin, C.C., 1991. Finite rotation analysis and consistent linearization using projectors. Computer Methods in Applied Mechanics and Engineering 93, 353-384.
[2] Miyazaki, Y., Kondo, K., 1997. Analytical solution of spatial elastica and its application to kinking problem. International Journal of Solids and Structures 34(27), 3619-3636. [3] van der Heijden, G.H.M., Neukirch, S., Goss, V.G.A., Champneys, Thompson, J.M.T., 2003. Instability and self-contact phenomena in the writhing of clamped rods. Int. J. Mech. Sci. 45, 161-196. [4] Goyal, A.G., Perkins, N.C., Lee, C. L., 2005. Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables Journal of Computational Physics 209, 371–389. [5] Goyal, A.G., Perkins, N.C., Lee, C. L., 2008. Non-linear dynamic intertwining of rods with self-contact. International Journal of Non-Linear Mechanics 43, 65 – 73 [6] Fang, J., Chen, J.-S., 2013. Deformation and vibration of a spatial elastica with fixed end slopes. International Journal of Solids and Structures 50,824-831. [7] Fang, J., Chen, J.-S., 2014. Deformation and vibration of a spatial clamped elastica with noncircular cross section. European Journal of Mechanics–A/Solids 47, 182-193.Chen, J.-S., Chen, I.S. , 2015. Deformation and vibration of a spiral spring, International Journal of Solids and Structures. Vol.64-65,166-175. [8] Goss, V.G.A., van der Heijden, G.H.M., van der Heijden, G.H.M., Neukirch, S., 2005. Experiments on snap buckling, hysteresis and loop formation in twisted rods. Experimental Mechanics 45, 101-111. [9] Stander,N. , Du Preez,R.J. ,1992. Vibration analysis of coil springs by means of isoparametric curved beam finite elements, Communications in Applied Numerical Methods, vol. 8, 373-383. [10] Tabarrok, B. , Farshad , M. , Yi,H. , 1987. Finite element formulation of spatially curved and twisted rods,Computer Methods in Applied Mechanics and Engineering 70 , 275-299. [11] Farshad, M. , Karami , G. , Banan , M.R. , 1988. A theoretical and numerical finite element analysis of spatial rod sysyems,Computer Methods in Applied Mechanics and Engineering 73 , 111-132. [12] Frisch-Fay, R. , 1973. Buckling of prw-twisted bars, Int. J. mech. Sci. Pergamon Press. Vol. 15, 171-181. [13] Rosen, A. , 1991. Structural and dynamic behavior of pretwisted rods and beams, Applied Mechanics Reviews44, 483-515. [14] Steinman, D.A. , Tabarrok, B. , Cleghorn, W.L. , 1990. The effect of pretwisting of the buckling behaviour of slender, Int. J. Mech. Sci. Vol. 33, No. 4, 249-262. [15] Coleman, B.D., Dill, E.H., Lembo, M., Lu, Z., Tobias, I., 1993. On the dynamics of rods in the theory of Kirchhoff and Clebsch. Arch. Rational Mech. Anal. 121, 339-359. [16] Goriely, A., Tabor, M., 1997. Nonlinear dynamics of filaments, I. Dynamical instability. Physica D 105, 20-44. [17] Goto, Y., Li, X.-S., Kasugai, T., 1996. Buckling analysis of elastic space rods under torsional moment. Journal of Engineering Mechanics 122,826-833. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/52533 | - |
dc.description.abstract | 在本文中,主要研究桿件一端夾持於可自由旋轉的軸承上,另一端夾持於可移動的滑車,使其可以沿線性軌道作無摩擦滑動在軸承施予固定的扭力後,在給予軸向力,探討整個移動過程中桿件的變形。本文使用空間彈性理論來分桿件的靜態變形與振動頻率,將其視為一個邊界值的問題,並利用Shooting Mehhod來求解,求解到靜態解後,再經由振動分析來探討各個靜態解的穩定性,接著,我們也設計了一組實驗機構,由此來驗證我們的結果是否正確,另外,本文也將探討彈性桿件加上初始扭率後,對臨界負載的影響,從elastica控制方程式開始進行理論推導,求出其曲率及位移的通解,將通解帶入邊界條件求出在不同邊界條件下的特徵方程式,再由數值方法做計算來加以比對,本文將討論Spherically-Hinged的邊界以及clamped-clamped的邊界,將此視為一個特徵值的問題進行臨界負載分析,並針對初始扭率很大的特殊情況下來進行討論。 | zh_TW |
dc.description.abstract | In this paper we use elastic theory to study the deformation and natural frequencies of a rod. We consider a rod with circular section. One clamp is fixed with freely rotating bearing , and the other is attached to a slider which is allowed to slide without friction on a linear track. We study the post- buckling behavior and static deformation of a rod elastica by using shooting method. There are lots of static deformation of a rod elastica under axial thrust as we predict. Determine stability of each static deformation by perturbation theory. Moreover, we derive characteristic equation from governing equation of pre-rotated elastica to obtain critical load. We will discuss two different boundary conditions in this paper including spherically-hinged and clamped-clamped and the effect on different properties of elastica such as infinite initial torsion. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T16:17:43Z (GMT). No. of bitstreams: 1 ntu-104-R02522526-1.pdf: 2748235 bytes, checksum: ef579c1588fa834fef1059f801ea0502 (MD5) Previous issue date: 2015 | en |
dc.description.tableofcontents | 第一章 導論 1
第二章 理論模型與控制方程式 3 2.1彈性直桿理論模型 3 2.2控制方程式與推導過程 3 第三章 靜態變形分析 8 第四章 振動分析 12 4.1無自我接觸桿件振動分析 12 4.2自我接觸桿件振動分析 14 第五章 受力與位移關係分析 24 第六章 穩定性分析 26 第七章 實驗設計 28 第八章 臨界附載分析臨界 30 8.1 Spherically-Hinged 32 8.2 Clamped-Clamped 34 第九章 結論 38 參考文獻 40 附錄I 73 附錄II 75 符號表 80 | |
dc.language.iso | zh-TW | |
dc.title | 直桿受端點推力的後挫曲行為 | zh_TW |
dc.title | Post-buckling behavior of a rod under end thrust | en |
dc.type | Thesis | |
dc.date.schoolyear | 103-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 單秋成(Chow-Shing Shin),莊嘉揚(Jia-Yang Juang) | |
dc.subject.keyword | 彈性桿件,振動,大變形理論, | zh_TW |
dc.subject.keyword | elastic theory,vibration,director, | en |
dc.relation.page | 82 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2015-08-17 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-104-1.pdf 目前未授權公開取用 | 2.68 MB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。