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Dynamic response of a three-beam system with intermediate elastic connections under a moving load/mass-spring

查看全文 作  者:Feng [1,2]Yulin;Jiang [1,2]Lizhong;Zhou [1,2]Wangbao 高影响力作者 机构地区:[1]School of Civil Engineering,Central South University,Changsha 410075,China;[2]National Engineering Laboratory for High Speed Railway Construction,Central South University,Changsha 410075,China高影响力机构 出  处:《Earthquake Engineering and Engineering Vibration》索引2020年第19卷第2期,共19页高影响力期刊 基  金:The Fundamental Research Funds for the Central Universities of Central South University under Grant No.2018zzts189;the National Natural Science Foundations of China under Grant Nos.51408449 and 51778630;the Innovation-driven Plan in Central South University under Grant No.2015CX006。 摘  要:The objective of this research is to study the dynamic response characteristics of a three-beam system with intermediate elastic connections under a moving load/mass-spring.In this study,the finite Sine-Fourier transform was performed for the dynamic partial differential equations of a simply supported three-beam system(SSTBS)under a moving load and a moving mass-spring,respectively.The dynamic partial differential equations were transformed into dynamic ordinary differential equations relative to the time coordinates,and the equations were solved and the displacement Fourier amplitude spectral expressions were obtained.Finally,based on finite Sine-Fourier inverse transform,the expressions for dynamic response of SSTBS under the moving load and moving mass-spring were obtained.The proposed method,along with ANSYS,was used to calculate the dynamic response of the SSTBS under a moving load/mass-spring at different speeds.The results obtained herein were consistent with the ANSYS numerical calculation results,verifying the accuracy of the proposed method.The influence of the load/mass-spring’s moving speed on the dynamic deflections of SSTBS were analyzed.SSTBS has several critical speeds under a moving load/mass-spring.The vertical acceleration incurred by a change in the vertical speed of SSTBS due to the movement of mass-spring and the centrifugal acceleration produced by the movement of massspring on the vertical curve generated by SSTBS vibration could not be neglected. 关 键 词:finite Sine-Fourier transform three-beam system moving load mass-spring critical SPEEDS
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