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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Probability Response of Shape Memory Alloy Beam Subjected to Noise Excitation
Author NameAffiliationPostcode
Yuting Li* School of Science, Xi’an Polytechnic University, Xi’an 710000, China 710000
Jinqian Feng School of Science, Xi’an Polytechnic University, Xi’an 710000, China 710000
Yingxiao Wang School of Science, Xi’an Polytechnic University, Xi’an 710000, China 710000
Abstract:
Shape Memory Alloy (SMA) is a typical material with memory effect, and it is widely used in many engineering fields. Based on the elastic theory and Galerkin method, a vibration system of SMA beam with rigid constraints is proposed. The non-smooth transformation was employed to deal with the discontinuous position, and the original system was turned into an approximate equivalent system associated with the Dirac function. Then, using the stochastic averaging method, the drift and diffusion coefficient of the corresponding Fokker Planck Kolmogorov equation were described. The approximate probability response of the system was formulated analytically eventually. Meanwhile, numerical simulation was carried out to verify the effectiveness of analytical results. Furthermore, stochastic bifurcation was discussed. Results show that the stationary probability response of the system was affected by the increase of noise amplitude and restitution force, and a certain restitution value and damping could induce P-bifurcation.
Key words:  Shape Memory Alloy  stochastic averaging  stationary probability density  stochastic bifurcation
DOI:10.11916/j.issn.1005-9113.2019047
Clc Number:O194
Fund:

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