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移动荷载作用下曲线轨道振动响应解析解研究 被引量:9
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作者 刘维宁 李克飞 valeri markine 《土木工程学报》 EI CSCD 北大核心 2013年第1期133-140,共8页
将曲线轨道模拟为周期性离散支撑的曲线Timoshenko梁,首次推导了移动荷载作用下曲线轨道平面外振动的响应解析解。首先以Duhamel积分为基础,应用动力互等定理,得到沿曲线移动荷载作用下,半无限弹性空间体上任意点动力响应的一般表达式;... 将曲线轨道模拟为周期性离散支撑的曲线Timoshenko梁,首次推导了移动荷载作用下曲线轨道平面外振动的响应解析解。首先以Duhamel积分为基础,应用动力互等定理,得到沿曲线移动荷载作用下,半无限弹性空间体上任意点动力响应的一般表达式;然后在该式的基础上,针对轨道结构的周期性支撑特点,将荷载沿钢轨的移动问题转化为拾振点以轨枕间距为周期反方向跳跃式移动与荷载只在一个轨枕间距内移动的组合问题。以此,将一个频域积分问题转化为拾振点频域周期解的叠加问题,从而得到了曲线轨道在移动荷载作用下动力响应的解析解。曲线梁的传递函数用传递矩阵法求解。通过对曲线简支梁在移动荷载下振动响应的求解,验证了计算模型的正确性;对比曲线轨道和直线轨道在移动荷载下的振动响应结果,发现:相同荷载条件下,曲线轨道的振动响应大于直线轨道的响应,轨道振动响应频谱与荷载速度密切相关,并且曲线轨道的响应频谱更为丰富。 展开更多
关键词 曲线轨道 移动荷载 振动响应 解析解 传递函数
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Discrete element modelling of railway ballast performance considering particle shape and rolling resistance 被引量:6
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作者 Yunlong Guo Chunfa Zhao +3 位作者 valeri markine Can Shi Guoqing Jing Wanming Zhai 《Railway Engineering Science》 2020年第4期382-407,共26页
To simulate ballast performance accurately and efficiently,the input in discrete element models should be carefully selected,including the contact model and applied particle shape.To study the effects of the contact m... To simulate ballast performance accurately and efficiently,the input in discrete element models should be carefully selected,including the contact model and applied particle shape.To study the effects of the contact model and applied particle shape on the ballast performance(shear strength and deformation),the direct shear test(DST)model and the large-scale process simulation test(LPST)model were developed on the basis of two types of contact models,namely the rolling resistance linear(RRL)model and the linear contact(LC)model.Particle shapes are differentiated by clumps.A clump is a sphere assembly for one ballast particle.The results show that compared with the typical LC model,the RRL method is more efficient and realistic to predict shear strength results of ballast assemblies in DSTs.In addition,the RRL contact model can also provide accurate vertical and lateral ballast deformation under the cyclic loading in LPSTs. 展开更多
关键词 Discrete element method Ballast performance Boundary condition Rolling resistance Direct shear test Lateral displacement
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Metro train-induced vibrations on historic buildings in Chengdu,China 被引量:10
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作者 Meng MA valeri markine +2 位作者 Wei-ning LIU Yang YUAN Feng ZHANG 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2011年第10期782-793,共12页
In this paper, the vibration influence on a monument caused by Chengdu Subway Line 2 is analyzed. Due to its elaborate and unique design, both structural and architectural damages should be avoided. First, the allowab... In this paper, the vibration influence on a monument caused by Chengdu Subway Line 2 is analyzed. Due to its elaborate and unique design, both structural and architectural damages should be avoided. First, the allowable root mean square (RMS) velocity at the foundation of the monument is derived and a site measurement is performed to obtain the background vibrations induced by road traffic. In addition, a train-track coupled model and 3D tunnel-soil-structure coupled finite element models are built to predict the dynamic response of the monument. Prediction models are checked by site measurement in Beijing Subway Line 5. Different kinds of fasteners and train speeds are compared and discussed as well. Results show that: (1) At a train speed of 72 km/h, all the traffic vibrations exceed the low limit no matter what kind of fastener is used, which is mainly due to the contribution of road traffic. Slowing down train speeds can cause effective vibration attenuation; (2) Vibrations drop dramatically with the train speed from 65 to 58 km/h. When the train speed is lower than 58 krn/h, vibrations are lower than allowable value even if the contribution of road traffic is considered. 展开更多
关键词 Traffic vibrations Historic buildings Vibration prediction Numerical simulation _
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Analytical study on the dynamic displacement response of a curved track subjected to moving loads 被引量:4
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作者 Ke-fei LI Wei-ning LIU +1 位作者 valeri markine Zhi-wei HAN 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2013年第12期867-879,共13页
A closed-form out-of-plane dynamic displacement response of a curved track subjected to moving loads was proposed.The track structure was modeled as a planar curved Timoshenko beam periodically supported by the double... A closed-form out-of-plane dynamic displacement response of a curved track subjected to moving loads was proposed.The track structure was modeled as a planar curved Timoshenko beam periodically supported by the double-layer spring-damping elements.The general dynamic displacement response induced by the moving loads along the curve on the elastic semi-infinite space was firstly obtained in the frequency domain,according to the Duhamel integral and the dynamic reciprocity theorem.In the case of the periodic curved track structure subjected to moving loads,the dynamic displacement equation was simplified into a form of summation within the basic track cell instead of the integral.The transfer function for the curved track was expressed in the form of a transfer matrix.Single and series moving loads were involved in the calculation program.For the verification of the analytical model,the mid-span vertical deflection of a simply support curved beam subjected to moving load was recalculated and compared with the same case in the reference.The research results indicate that:under the same moving loads,the displacement response of the curved track decreases slightly with the increasing track radius,and the displacement response of the curved track with the radius greater than or equal to 600 m is almost equivalent to the displacement response of the straight track;the frequency spectrum of the curved track is more abundant than that of the straight track,which may result in more wheel-rail resonance and rail corrugation in the curved lines. 展开更多
关键词 Curved track Moving loads Dynamic displacement Analytical solution Transfer function
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