The Singular Function Method Based on the Moving Load Deformation of Suspension Bridge
Bang Sheng Xing, Xue Feng Wang
Abstract
Bang Sheng Xing, Xue Feng Wang
Abstract
This paper uses singular function method to analyze the deformation of simplified model of suspension bridge in the moving load, deduces the mathematical equations of the deflection and bending moment, analyzes the simplified model changes of mechanical deformation at different moving load position by using numerical analysis software mathcad,studies the most unfavorable load position and maximum absolute bending moment in a group of concentrated load, gets the results that the maximum absolute bending moment of suspension bridge section depends on the size of the load, mobile location and its distribution in a moving load. The moment influence line used by singular function is smooth segmentation functions. Researching findings provide theoretical basis for the design of suspension bridge.
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This paper uses singular function method to analyze the deformation of simplified model of suspension bridge in the moving load, deduces the mathematical equations of the deflection and bending moment, analyzes the simplified model changes of mechanical deformation at different moving load position by using numerical analysis software mathcad,studies the most unfavorable load position and maximum absolute bending moment in a group of concentrated load, gets the results that the maximum absolute bending moment of suspension bridge section depends on the size of the load, mobile location and its distribution in a moving load. The moment influence line used by singular function is smooth segmentation functions. Researching findings provide theoretical basis for the design of suspension bridge.
Key concepts: Moving load, Influence line, Structural engineering, Bending moment, Deflection (physics), Moment distribution method, Suspension (topology), Moment (physics)