【摘要】：首先,由Hamilton原理推導外側(cè)施加橫向激勵的輸液管道流固耦合彎曲振動微分方程,針對固-鉸支承管道提出一種新的振型函數(shù),利用Galerkin法求得前五階固有頻率表達式,并且通過對比驗證了新振型函數(shù)的正確性.其次,在一階截斷情況下求得這類管道的撓度、彎矩和剪力表達式,討論了流速、液壓和外激頻率變化對固-鉸支承管道中點撓度和最大彎矩的影響.結(jié)果表明,由新振型函數(shù)確定的前五階固有頻率不僅計算簡便而且具有很高的精度,同時驗證了輸液管道固有頻率對液壓和流速的依賴性,也證實了對于流固耦合問題,結(jié)構(gòu)發(fā)生共振與外激頻率接近結(jié)構(gòu)固有頻率有關(guān)同樣適用.
[Abstract]:Firstly, the differential equation of fluid-solid coupling bending vibration of fluid pipeline subjected to lateral excitation is derived from the Hamilton principle. A new mode function is proposed for the solid-hinge supported pipeline. The first five natural frequency expressions are obtained by using the Galerkin method. The correctness of the new mode function is verified by comparison. Secondly, the expressions of deflection, bending moment and shear force of this kind of pipeline are obtained under the condition of first order truncation. The effects of velocity of flow, hydraulic pressure and frequency of external excitation on the point deflection and maximum moment of the pipe supported by solid hinge are discussed. The results show that the first five natural frequencies determined by the new mode function are not only simple and accurate, but also verify the dependence of the natural frequency of the pipeline on the hydraulic pressure and the velocity of flow, as well as the fluid-solid coupling problem. The resonance of the structure is related to the external excitation frequency close to the natural frequency of the structure.
【作者單位】： 上海大學上海市應用數(shù)學和力學研究所;
【基金】：國家自然科學基金資助項目(U1663205,51174130) 上海市重點學科建設(shè)資助項目(S30106) 上海市科委部分地方院校能力建設(shè)計劃重點資助項目(12160500200)
【分類號】：O32

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