Post-Yield characteristics of electrorheological fluids in nonlinear vibration analysis of smart sandwich panels

References

• Allahverdizadeh, A.,. I. Eshraghi, M. J. Mahjoob, and N. Nasrollahzadeh. 2014. Nonlinear vibration analysis of FGER sandwich beams. International Journal of Mechanical Sciences 78:167–76. doi:10.1016/j.ijmecsci.2013.11.012.
   Web of Science ®Google Scholar
• Argyris, J. H. 1965. Continua and Discontinua. Proceedings of the Conference on Matrix Methods in Structural Mechanics, Wright Patterson Air Force Base, 11–189.
   Google Scholar
• Batoz, J., and G. Dhatt. 1979. Incremental displacement algorithms for nonlinear problems. International Journal for Numerical Methods in Engineering 14 (8):1262–97. doi:10.1002/nme.1620140811.
   Web of Science ®Google Scholar
• Carlson, J. D., J. P. Coulter, and T. G. Duclos. 1990. Electrorheological fluid composite structures. US Patent 4.
   Google Scholar
• Choi, S. B., J. W. Seo, J. H. Kim, and K. S. Kim. 2001. An electrorheological fluid-based plate for noise reduction in a cabin: Experimental results. Journal of Sound and Vibration 239 (1):178–85. doi:10.1006/jsvi.2000.3051.
   Web of Science ®Google Scholar
• Choi, Y., A. F. Sprecher, and H. Conrad. 1990. Vibration characteristics of a composite beam containing an electrorheological fluid. Journal of Intelligent Material Systems and Structures 1 (1):91–104. doi:10.1177/1045389X9000100106.
   Google Scholar
• Eshaghi, M., R. Sedaghati, and S. Rakheja. 2015. The effect of magneto-rheological fluid on vibration suppression capability of adaptive sandwich plates: Experimental and finite element analysis. Journal of Intelligent Material Systems and Structures 26 (14):1920–35. doi:10.1177/1045389X15586449.
   Web of Science ®Google Scholar
• Eshaghi, M., R. Sedaghati, and S. Rakheja. 2016. Analytical and experimental free vibration analysis of multi-layer MR-fluid circular plates under varying magnetic flux. Composite Structures 157:78–86. doi:10.1016/j.compstruct.2016.08.024.
   Web of Science ®Google Scholar
• Fadaee, M. 2019. Exact solution for shear deformable model of free damped vibration of magnetorheological fluid sandwich beam. Mechanics Based Design of Structures and Machines 47 (5):568–82. doi:10.1080/15397734.2019.1581798.
   Web of Science ®Google Scholar
• Gao, K., W. Gao, B. Wu, D. Wu, and C. Song. 2018. Nonlinear primary resonance of functionally graded porous cylindrical shells using the method of multiple scales. Thin-Walled Structures 125:281–93. doi:10.1016/j.tws.2017.12.039.
   Web of Science ®Google Scholar
• Gao, K., W. Gao, D. Chen, and J. Yang. 2018. Nonlinear free vibration of functionally graded graphene platelets reinforced porous nanocomposite plates resting on elastic foundation. Composite Structures 204:831–46. doi:10.1016/j.compstruct.2018.08.013.
   Web of Science ®Google Scholar
• Gholamzadeh Babaki, M. H., and M. Shakouri. 2019. Free and forced vibration of sandwich plates with electrorheological core and functionally graded face layers. Mechanics Based Design of Structures and Machines.doi:10.1080/15397734.2019.1698436.
   Web of Science ®Google Scholar
• Harland, N. R., B. R. Mace, and R. W. Jones. 2001. Adaptive-passive control of vibration transmission in beams using electro/magnetorheological fluid filled inserts. IEEE Transactions on Control Systems Technology 9 (2):209–20. doi:10.1109/87.911373.
   Web of Science ®Google Scholar
• Hasheminejad, S. M., and M. A. Motaaleghi. 2015. Aeroelastic analysis and active flutter suppression of an electro-rheological sandwich cylindrical panel under yawed supersonic flow. Aerospace Science and Technology 42:118–27. doi:10.1016/j.ast.2015.01.004.
   Web of Science ®Google Scholar
• Hasheminejad, S. M., and M. Maleki. 2009. Free vibration and forced harmonic response of an electrorheological fluid-filled sandwich plate. Smart Materials and Structures 18 (5):055013. doi:10.1088/0964-1726/18/5/055013.
   Web of Science ®Google Scholar
• Lau, S. L., Y. K. Cheung, and S. Y. Wu. 1984. Nonlinear vibration of thin elastic plates, Part 1: Generalized incremental Hamilton’s principle and element formulation. Journal of Applied Mechanics 51 (4):837–44. doi:10.1115/1.3167734.
   Web of Science ®Google Scholar
• Lee, C. 1995. Finite element formulation of a sandwich beam with embedded electro-rheological fluids. Journal of Intelligent Material Systems and Structures 6 (5):718–28. doi:10.1177/1045389X9500600512.
   Web of Science ®Google Scholar
• Lee, C. Y., and C. C. Cheng. 1998. Dynamic characteristics of sandwich beam with embedded electro-rheological fluid. Journal of Intelligent Material Systems and Structures 9 (1):60–8. doi:10.1177/1045389X9800900106.
   Web of Science ®Google Scholar
• Li, W. H., H. Du, G. Chen, S. H. Yeo, and N. Guo. 2003. Nonlinear viscoelastic properties of MR fluids under large-amplitude-oscillatory-shear. Rheologica Acta 42 (3):280–6. doi:10.1007/s00397-002-0285-4.
   Web of Science ®Google Scholar
• Phani, S. A., and K. Venkatraman. 2003. Vibration control of sandwich beams using electro- rheological fluids. Mechanical Systems and Signal Processing 17 (5):1083–95. doi:10.1006/mssp.2002.1567.
   Web of Science ®Google Scholar
• Philips, R. W. 1969. Engineering applications of fluid with a variable yield stress. PhD thesis, University of California, USA.
   Google Scholar
• Pranoto, T., K. Nagaya, and A. Hosoda. 2004. Vibration suppression of plate using linear MR fluid passive damper. Journal of Sound and Vibration 276 (3-5):919–32. doi:10.1016/j.jsv.2003.08.019.
   Web of Science ®Google Scholar
• Qiu, J., J. Tani, and T. Hajika. 1999. Damping effect of multi-layer beams with embedded electro-rheological fluid. Journal of Intelligent Material Systems and Structures 10 (7):521–9. doi:10.1106/R4HQ-F2M0-QGY3-NVV8.
   Web of Science ®Google Scholar
• Rajamohan, V., and M. Ramamoorthy. 2012. Dynamic characterization of non-homogeneous Magnetorheological fluids based multi-layer beam. Applied Mechanics and Materials 110:105–12.
   Google Scholar
• Rajamohan, V., S. Rakheja, and R. Sedaghati. 2010. Vibration analysis of partially treated multi-layer beam with magnetorheological fluid. Journal of Sound and Vibration 329 (17):3451–69. doi:10.1016/j.jsv.2010.03.010.
   Web of Science ®Google Scholar
• Rezaeepazhand, J., and L. Pahlavan. 2009. Transient response of sandwich beams with electrorheological core. Journal of Intelligent Material Systems and Structures 20 (2):171–9. doi:10.1177/1045389X08090313.
   Web of Science ®Google Scholar
• Shi, Y., and C. Mei. 1996. A finite element time domain modal formulation for large amplitude free vibrations of beams and plates. Journal of Sound and Vibration 193 (2):453–64. doi:10.1006/jsvi.1996.0295.
   Web of Science ®Google Scholar
• Stevens, N. G., J. L. Sproston, and R. Stanway. 1987. On the mechanical properties of electro-rheological fluids. Journal of Applied Mechanics 54 (2):456–8. doi:10.1115/1.3173038.
   Web of Science ®Google Scholar
• Wang, X., and F. Gordaninejad. 1999. Flow analysis of field-controllable, electro- and magneto-rheological fluids using Herschel-Bulkley model. Journal of Intelligent Material Systems and Structures 10 (8):601–8. doi:10.1106/P4FL-L1EL-YFLJ-BTRE.
   Web of Science ®Google Scholar
• Weiss, K. D., T. G. Duclos, M. J. Chrzan, and L. C. Yanyo. 1996. Magnetorheological fluid composite structures. US Patent Specification 5.
   Google Scholar
• Yeh, J. Y. 2007. Vibration analyses of the annular plate with electrorheological fluid damping treatment. Finite Elements in Analysis and Design 43 (11-12):965–74. doi:10.1016/j.finel.2007.06.004.
   Web of Science ®Google Scholar
• Yeh, J. Y. 2011. Vibration and damping analysis of orthotropic cylindrical shells with electrorheological core layer. Aerospace Science and Technology 15 (4):293–303. doi:10.1016/j.ast.2010.08.002.
   Web of Science ®Google Scholar
• Yeh, Z. F., and Y. S. Shih. 2006. Dynamic stability of a sandwich beam with magnetorheological Core. Mechanics Based Design of Structures and Machines 34 (2):181–200. doi:10.1080/15397730600773403.
   Web of Science ®Google Scholar