振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
1期
140-144
,共5页
梁峰%包日东%金莹%苏勇
樑峰%包日東%金瑩%囌勇
량봉%포일동%금형%소용
输流碳纳米管%稳定性%参数共振%表面效应%粘弹性介质
輸流碳納米管%穩定性%參數共振%錶麵效應%粘彈性介質
수류탄납미관%은정성%삼수공진%표면효응%점탄성개질
fluid-conveying carbon nanotube%stability%parametric resonance%surface effect%linear viscoelastic medium
应用非局部粘弹性夹层梁模型分析粘弹性介质中输送脉动流碳纳米管的动态稳定性。在经典的欧拉梁模型中考虑了由管道内、外壁上的薄表面层引起的表面弹性效应和表面残余应力,同时考虑纳米管道的非局部效应,得到了改进的欧拉梁模型。用平均法对其控制方程进行求解,得到了管道稳定性区域。数值算例揭示了纳米管的壁厚、粘弹性特性、表面效应及两个介质参数对管道动态稳定性的复杂影响,结论可为纳米流体机械的结构设计和振动分析提供理论基础。
應用非跼部粘彈性夾層樑模型分析粘彈性介質中輸送脈動流碳納米管的動態穩定性。在經典的歐拉樑模型中攷慮瞭由管道內、外壁上的薄錶麵層引起的錶麵彈性效應和錶麵殘餘應力,同時攷慮納米管道的非跼部效應,得到瞭改進的歐拉樑模型。用平均法對其控製方程進行求解,得到瞭管道穩定性區域。數值算例揭示瞭納米管的壁厚、粘彈性特性、錶麵效應及兩箇介質參數對管道動態穩定性的複雜影響,結論可為納米流體機械的結構設計和振動分析提供理論基礎。
응용비국부점탄성협층량모형분석점탄성개질중수송맥동류탄납미관적동태은정성。재경전적구랍량모형중고필료유관도내、외벽상적박표면층인기적표면탄성효응화표면잔여응력,동시고필납미관도적비국부효응,득도료개진적구랍량모형。용평균법대기공제방정진행구해,득도료관도은정성구역。수치산례게시료납미관적벽후、점탄성특성、표면효응급량개개질삼수대관도동태은정성적복잡영향,결론가위납미류체궤계적결구설계화진동분석제공이론기출。
A nonlocal viscoelastic sandwich-beam model was developed to investigate the dynamic stability of a pulsating-fluid-conveying carbon nanotube (CNT)embedding in linear viscoelastic medium.The classical Euler-Bernoulli beam model was modified by considering the effects of surface elasticity and surface residual stress induced by thin surface layers presented on the inner and outer tube walls.The nonlocal effect of CNT was also taken into account.The governing equation was solved via the averaging method and the stability regions were obtained.Numerical examples were presented to reveal the complicated influences of tube thickness,viscoelasticity,surface effects and two medium parameters on the dynamic stability of the CNT.The conclusions drawn in the present paper are thought to be helpful to the structural design and vibration analysis of nanofluidic devices.