Research on Vertical Random Vibration Responses of Longitudinal Roadheader
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摘要: 为了探究纵轴式掘进机在随机激励作用下的纵向振动特性,根据多体动力学的理论和方法,建立了该型掘进机纵向动力学模型,利用拉格朗日方法建立其随机激励作用下的纵向运动微分方程。针对某型纵轴掘进机截割头所受随机激励产生的随机振动,运用虚拟激励法推导了掘进机纵向振动响应的数学模型,并利用MATLAB汇编语言赋值求解,得到该掘进机在随机激励作用下截割头、悬臂和机体的响应特性。结果表明:截割头、悬臂和机体的固有频率分别为3.2 Hz、2.9 Hz和2.3 Hz。在外随机激励作用下,随着悬臂与机体间刚度和阻尼的增大,截割头和机体的位移响应谱峰值逐渐减小,通过增加悬臂与机体、机体与底板间的刚度和阻尼,可有效减小整机的纵向振动。利用Adams对掘进机多刚体动力学模型仿真,证实了该方法研究掘进机的随机振动可行。Abstract: In order to explore vertical vibration characteristics of a longitudinal roadheader under the influence ofrandom excitations, longitudinal dynamics model of the roadheader was established according to the theory of multi-body dynamics and longitudinal differential equations of the roadheader were established by using Lagrangianequation method.Taking a domestic longitudinal roadheader as an example, for the cutting head suffers randomexcitations, the mathematical models of vertical vibration responses were derived using the pseudo-excitation methodand the responses characteristics of cutting head, boom and body were obtained by applying MATLAB programs.The results show: natural frequency of cutting head, boom and body locates in 3.2 Hz, 2.9 Hz, 2.3 Hz; with theincrease of the stiffness and the damping between the boom and the body, the peak of the PSDS of displacement ofcutting head and body gradually decreases, longitudinal vibration can be decreased by increasing the stiffness andthe damping between boom and body, the body and the base.A multi-body dynamics model was simulated inAdams for the sake of identifying the conclusions.The theoretical value, the model simulation results and theexperiments are relatively close, which imply reliability of this method.
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Key words:
- autocorrelation /
- computer simulation /
- covariance matrix /
- damping /
- excavators
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