| Stochastic Responses and Bifurcations of Shape Memory Alloy Beam under Asymmetric Impacting Constraint |
| Received:April 24, 2022 Revised:May 22, 2022 |
| Key Words:
shape memory alloy stochastic averaging probability density function stochastic P-bifurcation stochastic D-bifurcation
|
| Fund Project:Supported by the Natural Science Foundation of Shaanxi Province (Grant No.2018JM1044). |
|
| Hits: 389 |
| Download times: 418 |
| Abstract: |
| Shape Memory Alloy (SMA) is a new type of smart material with shape memory effect in the 21st century. In this work, the vibro-impact (VI) system is constructed for an SMA beam with asymmetric constraint. In two cases of non-impacting and impacting for Hamiltonian function, the approximate analytical results are presented by taking advantage of the stochastic averaging method. Numerical simulation emerges as the tool that verifies the obtained analytical results. In particular, the discussed results reveal that the probability response curve of the system energy demonstrates non-smooth characteristics. Moreover, the stochastic P-bifurcation and D-bifurcation can occur when the constraint position changes. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.05.009 |
| View Full Text View/Add Comment |
