THREE-DIMENSIONAL RAIL–BRIDGE COUPLING ELEMENT OF UNEQUAL LENGTHS FOR ANALYZING TRAIN–TRACK–BRIDGE INTERACTION SYSTEM

Authors

  • ZHI-PING ZENG SCHOOL OF CIVIL ENGINEERING, CENTRAL SOUTH UNIVERSITY, CHANGSHA 410075, CHINA.
  • FU-SHAN LIU SCHOOL OF CIVIL ENGINEERING, CENTRAL SOUTH UNIVERSITY, CHANGSHA 410075, CHINA.
  • ZHAO-HUI LU SCHOOL OF CIVIL ENGINEERING, CENTRAL SOUTH UNIVERSITY, CHANGSHA 410075, CHINA.
  • ZHI-WU YU SCHOOL OF CIVIL ENGINEERING, CENTRAL SOUTH UNIVERSITY, CHANGSHA 410075, CHINA.
  • PING LOU SCHOOL OF CIVIL ENGINEERING, CENTRAL SOUTH UNIVERSITY, CHANGSHA 410075, CHINA.
  • LING-KUN CHEN COLLEGE OF CIVIL SCIENCE AND ENGINEER-ING, YANGZHOU UNIVERSITY, YANGZHOU 225127, CHINA.

Abstract

A THREE-DIMENSIONAL RAILÂBRIDGE COUPLING ELEMENT OF UNEQUAL LENGTHS IS PRESENTED IN THIS PAPER, IN WHICH THE LENGTH OF THE RAIL ELEMENT IS SHORTER THAN THAT OF THE BRIDGE ELEMENT, TO INVESTIGATE THE SPATIAL DYNAMIC RESPONSES OF A TRAINÂTRACKÂBRIDGE INTERACTION SYSTEM. THE FORMULATION OF STIFFNESS AND DAMPING MATRICES FOR THE FASTENER, BALLAST, AND BEARING, AS WELL AS THE THREE-DIMENSIONAL EQUATIONS OF MOTION IN MATRIX FORM FOR A TRAINÂTRACKÂBRIDGE INTER-ACTION SYSTEM WITH THE PROPOSED ELEMENT, ARE DERIVED IN DETAIL BY USING ENERGY PRINCIPLE. TWO EXAMPLES WITH A SEVEN-SPAN CONTINU-OUS BEAM BRIDGE ARE SHOWN. THE FIRST EXAMPLE IS TO INVESTIGATE THE INFLUENCE OF THE EFFICIENCY AND ACCURACY OF THE LENGTHS OF THE RAIL AND BRIDGE ELEMENTS ON THE SPATIAL DYNAMIC RESPONSES OF THE TRAINÂTRACKÂBRIDGE INTERACTION SYSTEM, WHILE THE OTHER IS TO INVES-TIGATE THE INFLUENCE OF TWO TYPES OF TRACK MODELS ON THE DYNAMIC RESPONSES OF THE SYSTEM. THE RESULTS SHOW THAT: (1) THE PROPOSED RAILÂBRIDGE COUPLING ELEMENT CAN NOT ONLY HELP TO SAVE CALCULATION TIME BUT ALSO GIVE SATISFACTORY RESULTS IN INVESTIGATING THE SPATIAL DYNAMIC RESPONSES OF A TRAINÂTRACKÂBRIDGE INTERACTION SYSTEM, (2) THE DOUBLE-LAYER TRACK MODEL IS MORE ACCURATE COMPARED WITH THE SINGLE-LAYER TRACK MODEL ESPECIALLY FOR THE VIBRATIONS OF BRIDGE AND RAIL.

Published

2016-08-26

Issue

Section

Articles