FREE VIBRATION ANALYSIS OF NOTCHED COMPOSITE LAMINATED CANTILEVER BEAMS
محتوى المقالة الرئيسي
الملخص
The present work divided into two parts, first the experimental side which included the
measuring of the first natural frequency for the notched and unnotched cantilever composite beams
which consisted of four symmetrical layers and made of Kevlar- epoxy reinforced. A numerical
study covers the effect of notches on the natural frequencies of the same specimen used in the
experimental part. The mathematical model for the beam contains two open edges on the upper
surface. The effect of the location of cracks relative to the restricted end, depth of cracks, volume
fraction of fibers and orientation of the fiber on the natural frequencies are explored. The results
were calculated using the known engineering program (ANSYS), the results obtained has been
compared with those calculated analytically by (Sierakowski RL.), which have expressed the closest
well also the comparison between the experimental results with that calculated by (ANSYS) has
very well. The study shows that the highest difference in frequencies occur when the value of the
fiber orientation equal to 0odegree, the effect of location of the cracks decrease when the cracks
moving toward the free end and also shows that an increase of the depth of the cracks leads to a
decrease in the values of natural frequencies.
تفاصيل المقالة
كيفية الاقتباس
تواريخ المنشور
المراجع
• Adams RD, Cawely P,Pye CJ, Stone J. A vibration testing for non- destructively assessing the integrity of the structures. J.
Mech.Eng.Sci. 1978;20:93-100.
• Chondros TG, et al. A continuous cracked beam vibration theory. J Sound Vib. 1998;215:17–34.
• Cam E, et al. An analysis of cracked beam structure using impactecho method. NDT & E Int. 2005;38:368–73.
• Kim M-B, Zhao M. Study on crack detection of beam using harmonic responses. In: Proceedings of the 2004
international conference on intelligent mechatronics and automation, August2004, Chengdu, China, p.72–6.
• kawczuk M, Ostachowicz W, Zak A. Modal analysis of cracked unidirectional composite beam. Compos Part B 1997;
:641-50.
• Matveev VV, Bovsunovsky AP. Vibrationbased diagnostics of fatigue damage of beam-like structures. J Sound Vib
;249(1): 23–40.
• Nikpour K, Dimarogonas AD. Local complains of composite cracked bodies. Composite Sci. Technol. 1988; 32:209-23.
• Nikpour K, Buckling of cracked composite columns. Int.J.Solids Struc. 1990; 26(12):1371-86.
• Oral S. A shear flexible finite element for non uniform laminated composite beam. Comput. Struct. 1991; 38(3) : 353-60..
• Pugno N, Surace C, Ruotolo R. Evaluation of the non-linear dynamic response to harmonic excitation of a beam with several breathing cracks. J Sound Vib 2000;235:749–62.
• Przemieniecki JS. Theory of matrix structural analysis. 1 st ed. London; McGraw – Hill;1967.
• Ratcliffe CP. Damage detection using a modified Laplacian operatoron mode shape data. J Sound Vib 1997;204(3):505–17.
• Sinha JK, Friswell MI. Simulation of the dynamic response of acracked beam. Comput Struct 2002;80:1473–6.
• Saavedra PN, Cuitino LA. Crack detection and vibration behavior of cracked beams. Comput Struct 2001;79:1451–9.
• Song O, Ha TW, Librescu L. Dynamic of an isotropic cantilevers weakened by multiple transverse open cracks. Eng. Fract. Mech. 2003; 70:105-23.
• Tada H, Paris PC, Irwin GR. The stress analysis of cracks handbook. 2nd ed. St. Louis, MO: Paris production incorporated
and Del Research Corporation;1985.
• Vinson JR, Sierakowski RL. Behavior of structures composed of composite materials. 1 st ed. Dordrecht: Martinus Nijhoff; 1991.