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A COMPARISON OF DIFFERENT MULTIBODY SYSTEM APPROACHES IN THE MODELING OF FLEXIBLE TWIST BEAM AXLES

机译:不同多体体系方法在柔性捻线轴建模中的不同多体体系方法的比较

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One of the challenging issues in the area of flexible multibody systems is the ability to properly account for the geometric nonlinear effects that are present in many applications. One common application where these effects play an important role is the dynamic modeling of twist beam axles in car suspensions. The purpose of this paper is to examine the accuracy of the results obtained using four common modeling methods used in such applications. The first method is based on a spline beam approach in which a long beam is represented using piecewise rigid bodies interconnected by beam force elements along a spline curve. The beam force elements use a simple linear beam theory in approximating the forces and torques along the beam central axis. The second approach uses the well known method of component mode synthesis that is based on the linear elastic theory. Using this method the deformation of the beam, which is modeled as one flexible body, is defined using its own vibration and static correction mode shapes. The equations of motion are, in this case, written in terms of the system's generalized coordinates and modal participation factors. The linear elastic theory is used again in the third approach using a slightly different technique called the sub-structuring synthesis method. This method is based on dividing the flexible component into sub-structures, in which, the method of component mode synthesis is used to describe the deformation of each substructure. The fourth approach is based on a co-simulation technique that uses a Multibody System (MBS) solver and an external nonlinear Finite Element Analysis (FEA) solver. The flexibility of any body in the multibody system is, in this case, modeled in the external nonlinear FEA solver. The latter calculates the forces due to the nonlinear deformations of the flexible body in question and communicates that to the MBS solver at certain attachment points where the flexible body is attached to the rest of the multibody system. The displacements and velocities of these attachment points are calculated by the MBS solver and are communicated back to the nonlinear FEA solver to advance the simulation. The four approaches described are reviewed in this paper and a multibody system model of a car suspension system that includes a twist beam axle is presented. The model is examined four times, once using each approach. The numerical results obtained using the different methods are analyzed and compared.
机译:灵活的多体系统领域的一个具有挑战性的问题是能够正确地考虑许多应用中存在的几何非线性效应。其中一个常见的应用程序,这些效果发挥着重要作用是汽车悬架中扭束轴的动态建模。本文的目的是检查使用这些应用中使用的四种常用建模方法获得的结果的准确性。第一方法基于花键光束方法,其中使用沿着花键曲线互连的分段刚性体表示长光束。光束力元件在近似于沿光束中心轴的力和扭矩的情况下使用简单的线性光束理论。第二种方法使用众所周知的组件模式合成方法,其基于线性弹性理论。使用该方法使用其自身的振动和静态校正模式形状定义为一个柔性主体的光束的变形。在这种情况下,运动方程是根据系统的广义坐标和模态参与因素编写的。使用称为子结构合成方法的略微不同的技术,在第三种方法中再次使用线性弹性理论。该方法基于将柔性部件划分为子结构,其中,组件模式合成的方法用于描述每个子结构的变形。第四方法是基于共仿真技术,其使用多体系系统(MBS)求解器和外部非线性有限元分析(FEA)求解器。在这种情况下,多体系系统中任何体的灵活性在外部非线性FEA求解器中建模。后者计算由于所讨论的柔性体的非线性变形而导致的力,并将其传送到MBS求解器的某些附接点,其中柔性主体附接到多体系的其余部分。这些附接点的位移和速度由MBS求解器计算,并将其传送回非线性FEA求解器以提前模拟。本文中描述的四种方法以及呈现包括扭梁轴的汽车悬架系统的多体系系统模型。一旦使用每种方法,模型被检查了四次。分析并比较了使用不同方法获得的数值结果。

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