Abstract In this paper a semi-analytical approach to efficiently determine the dynamic response of an Euler-Bernoulli beam with general boundary conditions crossed by a mass-spring-damper (MSD) system is presented. Based on a dynamic substructuring technique (DST), the non-classically damped beam subsystem in modal state space representation is coupled with the interacting degrees of freedom of the MSD system by applying a generalized corresponding assumption. This assumption implies equal displacements of the beam and the MSD system at the contact points. The resulting set of coupled equations of motion in state space has time-dependent system matrices. Special attention is paid to the appropriate formulation of the arrival and departure conditions of the MSD system on the beam. In an application example, the dynamic response of a viscoelastically supported beam with a lumped mass at both ends crossed by a MSD system is analyzed, examining the effect of the speed and various parameters of the viscoelastic supports. The comparison of the results of the coupled beam-MSD system and a less expensive approach, in which the MSD system is simplified by its static axle loads, shows the importance of explicitly considering the interaction between beam and MSD system for accurate response prediction.

中文翻译：

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具有一般边界条件的非经典阻尼梁在移动质量-弹簧-阻尼系统下的动态响应

摘要 在本文中，提出了一种半解析方法，可以有效地确定具有质量-弹簧-阻尼器 (MSD) 系统跨越的一般边界条件的 Euler-Bernoulli 梁的动态响应。基于动态子结构化技术 (DST)，模态状态空间表示中的非经典阻尼梁子系统通过应用广义相应假设与 MSD 系统的相互作用自由度耦合。这个假设意味着梁和 MSD 系统在接触点的位移相等。由此产生的状态空间中的耦合运动方程组具有与时间相关的系统矩阵。特别注意 MSD 系统在梁上的到达和离开条件的适当表述。在一个应用示例中，通过 MSD 系统交叉两端具有集总质量的粘弹性支撑梁的动态响应进行了分析，检查了粘弹性支撑的速度和各种参数的影响。将耦合梁-MSD 系统的结果与更便宜的方法（其中 MSD 系统通过其静态轴载荷进行简化）的比较表明，明确考虑梁和 MSD 系统之间的相互作用对于准确响应预测的重要性是很重要的。 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .