The Application of FEM-BEM Approach to Simultaneous Dynamic Analysis of Several Thin-walled Fuel Tanks

R. Lamper, V. Levin, N. Pustovoy
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Abstract

At research of dynamics of longitudinal movement of the flying device with big weights of fuel the problem about fluctuations of thin-walled fuel tanks preliminary is solved. In such problems has well proved a method of finite and boundary elements. This approach allows to lead direct calculation of a sheaf of tanks, that considerably facilitates procedure of construction of mechanical analogue. Dynamic pressure of a liquid upon stacks of a tank within the limits of a direct method of boundary elements is expressed through moving shells and the mass and rigidity matrix of the attached weights of a liquid which joins in the settlement scheme together with matrixes of weights and a tank, received as a result of digitization of a design of a tank on FEM is calculated. After the decision of the generalized problem of own values for the received matrixes integrated characteristics of fluctuations which can be used at construction of mechanical or "matrix" analogue of a tank for the decision of the general problems of flying device dynamics can be found. The way of the description of geometry of a tank on the basis of natural approximation of a curve is offered.
有限元-边界元法在多个薄壁油箱动力学分析中的应用
在大重量燃油飞行装置纵向运动动力学研究中,初步解决了薄壁油箱波动问题。在这类问题中已经很好地证明了有限元和边界元的方法。这种方法可以直接计算储罐,大大简化了机械模拟的构造过程。在边界元直接法的范围内,通过动壳表达了液体在储罐堆上的动压力,并计算了储罐设计数字化后,在有限元上得到的与储罐重量矩阵和重量矩阵共同加入沉降方案的液体的质量和刚度矩阵。在确定接收矩阵自身值的广义问题后,可以找到可用于构建坦克的机械或“矩阵”模拟以确定飞行装置动力学一般问题的波动的综合特性。提出了在曲线自然逼近的基础上描述储罐几何形状的方法。
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