Parametric Investigation of Buckling Capacity Improvement of Cracked Columns with Piezoelectric Patches

Authors

Abstract

In this paper, instability behavior of cracked column equipped with piezoelectric patch is investigated, analytically. Polarization orientation is in such a way that axial force is induced in column. Crack is modeled as a torsional spring that connects two intact portion of column. After considering boundary conditions and continuity at the crack position and edges of piezoelectric patch positions, governing equations of buckling behavior of cracked column are obtained. Effects of effective parameters on the first and second buckling capacity of cracked column such as cracked parameters (position and depth), position, length and voltage of piezoelectric patch is investigated using suitable sketches. The results show that crack decreases buckling capacity, prominently. This decrease depends on position and depth of crack. Using appropriate position and length of piezoelectric patch, buckling capacity of cracked column is improved. The appropriate position of piezoelectric patch is not analogues to the crack position, necessarily and may be determined according to the column boundary conditions and crack position. The results show that positive voltage has opposite effects on the first and second buckling capacity of column.

Keywords

Main Subjects

References

[1] Khorshidvand A, Joubaneh EF, Jabbari M, Eslami M (2014) Buckling analysis of a porous circular plate with piezoelectric sensor–actuator layers under uniform radial compression. Acta Mech 225(1): 179-193.
[2] Rao M, Schmidt R (2014) Static and dynamic finite rotation FE-analysis of thin-walled structures with piezoelectric sensor and actuator patches or layers. Smart Mater Struct 23(9): 095006.
[3] Zenz G, Humer A (2015) Stability enhancement of beam-type structures by piezoelectric transducers: theoretical, numerical and experimental investigations. Acta Mech 226(12): 3961-3976.
[4] Crawley EF, De Luis J (1987) Use of piezoelectric actuators as elements of intelligent structures. AIAA 25(10): 1373-1385.
[5] Chandrashekhara K, Bhatia K (1999) Active buckling control of smart composite plates-finite-element analysis. Smart Mater Struct 2(1): 31.
[6] Chase JG, Srinivas B (1999) Optimal stabilization of plate buckling. Smart Mater Struct 8(2): 204.
[7] Meressi T, Paden B (1993) Buckling control of a flexible beam using piezoelectric actuators. Guid Control Dynam 16(5): 977-980.
[8] Wang Q, Quek S (2002) Enhancing flutter and buckling capacity of column by piezoelectric layers. Int J Solids Struct 39(16): 4167-4180.
[9] Thompson SP, Loughlan J (1995) The active buckling control of some composite column strips using piezoceramic actuators. Compos Struct 32(1-4): 59-67.
[10] Wang Q, Quek S, Liew K (2002) On the repair of a cracked beam with a piezoelectric patch. Smart Mater Struct 11(3): 404.
[11] Krawczuk M, Ostachowicz W (1995) Modelling and vibration analysis of a cantilever composite beam with a transverse open crack. J Sound Vib 183(1): 69-89.
[12] Bao G, Ho S, Suo Z, Fan B (1992) The role of material orthotropy in fracture specimens for composites. Int J Solids Struct 29(9): 1105-1116.
[13] Ariaei A, Ziaei-Rad S, Ghayour M (2010) Repair of a cracked Timoshenko beam subjected to a moving mass using piezoelectric patches. Int J Mech Sci 52(8): 1074-1091.
[14] Wang Q (2002) On buckling of column structures with a pair of piezoelectric layers. Eng Struct 24(2): 199-205.
[15] Crawley EF, Anderson EH (1990) Detailed models of piezoceramic actuation of beams. J Intel Mat Syst Str 1(1): 4-25.
[16] Chondros T, Dimarogonas A, Yao J (1998) A continuous cracked beam vibration theory. J Sound Vib 215(1): 17-34.
[17] Dimarogonas AD (1996) Vibration of cracked structures: A state of the art review. Eng Fract Mech 55(5): 831-857.
[18] Liebowitz H, Vanderveldt H, Harris D (1967) Carrying capacity of notched columns. Int J Solids Struct 3(4): 489-500.
[19] Tada H, Paris P, Irwin G (2000) The analysis of cracks handbook. ASME Press, New York.
[20] Narkis Y (1994) Identification of crack location in vibrating simply supported beams. J Sound Vib 172(4): 549-558.
Journal of Solid and Fluid Mechanics
Volume 6, Issue 3
September and October 2016
Pages 55-64

Files

Share

How to cite

Statistics