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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Non-smooth dynamics of coil contact in valve springs
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Non-smooth dynamics of coil contact in valve springs

机译：气门弹簧中线圈接触的非平稳动力学

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摘要

This contribution describes the dynamic simulation of the contact of coils of a valve spring within a multi-body system application. The spring is described by a multi-mass model. Contacting spring coils influence the dynamical properties of a valve spring significantly. The possible interaction between adjacent coils is modeled by means of non-smooth mechanics. Signorini conditions on displacement level are imposed on contact candidates. The set of inequality constraints is transformed into a set of equations by introducing a nonlinear complementarity function, which contains the semi-smooth maximum function. The set of equations of motion together with the contact constraints are integrated in time by a Backward Differentiation Formula (BDF) scheme. In each time step, the resulting nonlinear algebraic equation system is solved by a semi-smooth Newton method. The approach is evaluated by two examples. The first model represents a cylindrical helical spring. The performance of the algorithm is compared to an approach, where the coil contact is modeled by using spring-damper elements in between possible contact nodes. The proposed approach is not only running much faster, but also avoids the need of artificial parameters to calibrate the spring-damper elements. The second example deals with a full model of a single valvetrain system, demonstrating that the valve train dynamics is widely affected by the vibrational characteristics of the valve springs.
机译：该贡献描述了多体系统应用中阀弹簧线圈接触的动态仿真。弹簧由多质量模型描述。接触弹簧线圈会显着影响气门弹簧的动力学特性。相邻线圈之间可能的相互作用是通过非光滑力学建模的。候选人级别上的Signorini条件是位移级别的条件。通过引入非线性互补函数将不等式约束集转换为一组方程，该函数包含半光滑最大值函数。通过后向微分公式（BDF）方案，可以将运动方程组以及接触约束条件及时整合在一起。在每个时间步中，通过半光滑牛顿法求解所得的非线性代数方程组。该方法通过两个示例进行评估。第一个模型代表圆柱螺旋弹簧。将算法的性能与一种方法进行了比较，在该方法中，通过在可能的接触节点之间使用弹簧阻尼器元件对线圈接触进行建模。所提出的方法不仅运行速度快得多，而且避免了需要人工参数来校准弹簧阻尼器元件的需求。第二个示例处理了单个气门机构系统的完整模型，表明气门机构动力学受到气门弹簧振动特性的广泛影响。

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