Please use this identifier to cite or link to this item:
Vibration Analysis of Curved Composite Beams
|關鍵字:||複合材料;Vibration Analysis;曲樑;振動特性;Curved;Composite;Beams||出版社:||機械工程學系所||引用:|| R. F. Gibson, Principles of Composite Material Mechanics, McGraw-Hill, New York, 1994  張榮明,含有壓電感測器與致動器之脫層複合材料樑動態特性之 探討,碩士論文,中興大學機械工程研究所, 1997  J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1984  S.-K. Lee, B. R. Mace, and M. J. Brennan, “Wave propagation, reflection and transmission in curved beams,” Journal of Sound and Vibration 306, 636-656, 2007  T. P. Philippidis and P. S. Theocaris, “The Transverse Poisson''s Ratio in Fiber Reinforced Laminase by Means of a Hybrid Experimental Approach,” Journal of Composite Materials, Vol. 28, No. 3, 1994.  吳煌顏,樑理論應用於分析板狀複合疊層樑之探討,碩士論文,中興大學機械工程研究所, 1992  林高旭,含壓電片複合材料旋轉樑動態特性之探討,碩士論文,中興大學機械工程研究所, 1999  B. Kang, C. H. Riedel, and C. A. Tan, “Free Vibration Analysis of Planar Curved Beams by Wave Propagation,” Journal of Sound and Vibration, 260, 19–44, 2003  S. Timoshenko and D. H. Young, Vibration Problems in Engineering, Wiley, New York, 1974  S.-Y. Yang and H.-C. Sin, “Curvature-Based Beam Elements for The Analysis of Timoshenko and Shear-Deformable Curved Beams,” Journal of Sound and Vibration, 187(4), 569-584, 1995  A. Krishnan and Y. J. Suresh, “A Simple Cubic Linear Element for Static and Free Vibration Analyses of Curve Beams,” Computers and Structures, 68, 473-489, 1998  M. Ganapathi, B. P. Patel, J. Saravanan, and M. Touratier, “Application of Spline Element for Large-Amplitude Free Vibrations of Laminated Orthotropic Straight/Curved Beams,” Composites Part B, 29B,1-8, 1998  L.-W. Chen and G.-S. Shen, “Vibration and Buckling of Initially Stressed Curved Beams,” Journal of Sound and Vibration, 215(3), 511-526, 1998  M. T. Piovan and V. H. Cortidnez, “Out-of-Plane Vibrations of Shear Deformable Continuous Horizontally Curved Thin-Walled Beams,” Journal of Sound and Vibration, 237(1), 101-118, 2000  M.-Y. Kim and N.-I. Kim, “Analytical and Numerical Studyon Spatial Free Vibration of Non-Symmetric Thin-Walled Curved Beams,” Journal of Sound and Vibration, 258(4), 595-618, 2002  N.-I. Kim and M.-Y. Kim, “Spatial Free Vibration of Shear Deformable Circular Curved Beams with Non-Symmetric Thin-Walled Sections,” Journal of Sound and Vibration, 276, 245–271, 2004  N.-I. Kim and M.-Y. Kim, “Exact Dynamic Stiffness Matrix of Non-Symmetric Thin-Walled Curved Beams Subjected to Initial Axial Force,” Journal of Sound and Vibration, 284, 851–878, 2005  C. H. Riedel and B. Kang, “Free Vibration of Elastically Coupled Dual-Span Curved Beams,” Journal of Sound and Vibration, 290, 820–838, 2006  F. Yang, R. Sedaghati, and E. Esmailzadeh, “Free In-Plane Vibration of General Curved Beams Using Finite Element Method,” Journal of Sound and Vibration, 318, 850–867, 2008  Z. H. Zhu and S. A. Meguid, “Vibration Analysis of A New Curved Beam Element,” Journal of Sound and Vibration, 309, 86–95, 2008  A. M. Yu, C. J. Yang, and G. H. Nie, “Analytical Formulation and Evaluation for Free Vibration of Naturally Curved and Twisted Beams,” Journal of Sound and Vibration, 329, 1376–1389, 2010  H. Ozturk, “In-Plane Free Vibration of A Pre-Stressed Curved Beam Obtained from A Large Deflected Cantilever Beam,” Finite Elements in Analysis and Design, 47, 229–236, 2011  D. A. Saravanos and D. A. Hopkins, “Effects of Delaminations on The Damped Dynamic Characteristics of Composite Laminates: Analysis and Experiments,” Journal of Sound and Vibration, 192(5), 977-993, 1996||摘要:||
In this thesis, a finite element model based on two-noded straight beam finite elements, with each node nine degrees of freedom, is developed to simulate the vibration of isotropic and composite closed and open curved beams. The straight beam element being considered contains the transverse shear deformation, torsion, cross-section warping, chordwise curvature, and lateral displacement effects in order to model more accurately the deformation of beam.
To develop the finite element model, first, the displacement fields used in  adding the chordwise curvature κ and lateral rotation of cross sections β_y considered in  are adopted. Next, the kinetic energy and the strain energy of the straight composite beam are found. Then, by employing Hamilton principle, the mass and stiffness matrices of the straight beam element are obtained. These element matrices are used together with the displacement transformation matrix, which is obtained from the displacement continuity condition between the common nodes of two adjacent straight beam elements, to derive the global mass and stiffness matrices of curved beams.
In the examples, first, the unconstrained closed isotropic curved beams and open curved isotropic beams with both ends fixed (clamped-clamped) or both ends free (free-free) are analyzed. The results are compared with those obtained from Ansys or from literature. They are found in good agreement. Furthermore, the closed as well as open curved single-layered and laminated composite beams are studied, in which the influences of the radius to thickness ratio (R/h), width to thickness ratio (b/h), the fiber angle, and the arc angle of beam on the natural frequencies and modal shapes are investigated. It is found that there exists a switch over of the types of vibration mode at a certain R/h or b/h value. Also, as the fiber angle or the arc angle increases, the natural frequencies get smaller. Their influence on mode shapes, however, is more irregular.
|Appears in Collections:||機械工程學系所|
Show full item record
TAIR Related Article
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.