敷設主動約束層阻尼圓錐殼的控制特性分析
發(fā)布時間:2018-10-31 13:40
【摘要】:基于壓電材料的本構關系和內(nèi)力位移方程,考慮壓電材料的正、逆壓電效應,求出了壓電約束層的動力學控制方程和電學控制方程。根據(jù)圓錐殼的幾何特性,將變量沿周向進行傅里葉展開,可將上述方程轉化為沿母線方向的一階常微分方程的形式。結合黏彈層的法向平衡方程和位移連續(xù)性條件,由主動約束層和基殼的力學方程導出層合結構的動力學方程,并將該方程與壓電約束層的電學方程聯(lián)立,建立了敷設主動約束層圓錐殼的機電耦合模型。然后,借助精細積分技術和疊加原理,采用速度反饋控制策略,提出了一種分析此類結構的半解析、半數(shù)值方法,并采用該方法分析了反饋系數(shù)、反饋點的布置等參數(shù)對敷設主動約束層阻尼圓錐殼振動特性和控制特性的影響。
[Abstract]:Based on the constitutive relation and internal force displacement equation of piezoelectric material, the dynamic control equation and electrical control equation of piezoelectric confined layer are obtained by considering the forward and inverse piezoelectric effects. According to the geometric characteristics of the conical shell, the variable is Fourier expanded along the circumference, and the above equation can be transformed into the form of the first order ordinary differential equation along the generatrix direction. Combined with the normal equilibrium equation of viscoelastic layer and the displacement continuity condition, the dynamic equation of laminated structure is derived from the mechanical equation of active confinement layer and foundation shell, and the equation is combined with the electric equation of piezoelectric confined layer. The electromechanical coupling model of active constrained layer conical shell is established. Then, with the help of precise integration technique and superposition principle, a semi-analytical and semi-numerical method for analyzing this kind of structures is proposed by using the velocity feedback control strategy, and the feedback coefficient is analyzed by the method. The effect of feedback point layout on vibration and control characteristics of tapered shell with active constrained layer damping.
【作者單位】: 廣西科技大學汽車與交通學院;
【基金】:國家自然科學基金(51105083;11162001) 廣西自然科學基金(2012GXNSFAA053207)
【分類號】:TB301
本文編號:2302399
[Abstract]:Based on the constitutive relation and internal force displacement equation of piezoelectric material, the dynamic control equation and electrical control equation of piezoelectric confined layer are obtained by considering the forward and inverse piezoelectric effects. According to the geometric characteristics of the conical shell, the variable is Fourier expanded along the circumference, and the above equation can be transformed into the form of the first order ordinary differential equation along the generatrix direction. Combined with the normal equilibrium equation of viscoelastic layer and the displacement continuity condition, the dynamic equation of laminated structure is derived from the mechanical equation of active confinement layer and foundation shell, and the equation is combined with the electric equation of piezoelectric confined layer. The electromechanical coupling model of active constrained layer conical shell is established. Then, with the help of precise integration technique and superposition principle, a semi-analytical and semi-numerical method for analyzing this kind of structures is proposed by using the velocity feedback control strategy, and the feedback coefficient is analyzed by the method. The effect of feedback point layout on vibration and control characteristics of tapered shell with active constrained layer damping.
【作者單位】: 廣西科技大學汽車與交通學院;
【基金】:國家自然科學基金(51105083;11162001) 廣西自然科學基金(2012GXNSFAA053207)
【分類號】:TB301
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