典型文献
Stochastic Responses and Bifurcations of Shape Memory Alloy Beam under Asymmetric Impacting Constraint
文献摘要:
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.
文献关键词:
中图分类号:
作者姓名:
Yuting LI;Jinqian FENG
作者机构:
College of Mathematics,Jilin University,Jilin 130012,P.R.China;College of Science,Xi'an Polytechnic University,Shaanxi 710048,P.R.China
文献出处:
引用格式:
[1]Yuting LI;Jinqian FENG-.Stochastic Responses and Bifurcations of Shape Memory Alloy Beam under Asymmetric Impacting Constraint)[J].数学研究及应用,2022(05):539-550
A类:
Bifurcations
B类:
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AB值:
0.68321
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