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将简支梁简化为Euler梁,基于振动理论推导建立了用于桥梁动力响应分析的任意移动质量弹簧列模型,并通过适当的参数选取将其退化成任意移动荷载列模型,使得两类经典模型合二为一。通过计算表明:在共振车速下,质量弹簧列模型条件下的桥梁响应较荷载列模型小;而在非共振车速下,两类模型条件下的桥梁响应差别不大。此外,对高铁简支梁应用分析可知:一定条件下在32m梁上行驶的车辆长度控制在19-23m范围内较合适;且该梁的共振车速约为156m/s、52m/s、39m/s,消振车速约为134m/s、78m/s、57m/s。这在实际应用时应予以注意。
Based on the vibration theory, an arbitrary moving mass spring train model for bridge dynamic response analysis was established and degenerated into any moving load column model by appropriate parameter selection, so that two kinds of classical model Combination of one. The results show that under the condition of resonant speed, the response of the bridge under the mass-spring model is smaller than that of the load model. But under the non-resonant vehicle speed, the response of the bridge under the two models is not different. In addition, the application analysis of high-speed railway simply supported beams shows that: under certain conditions, the length of the vehicle traveling on the 32m beam should be controlled within the range of 19-23m; and the resonance speed of the beam is about 156m / s, 52m / s, 39m / s, vibration-absorbing speed of about 134m / s, 78m / s, 57m / s. This should be noted in practical application.