VIBRATION OF PARABOLIC TIED-ARCH BEAMS DUE TO MOVING LOADS

2006 ◽  
Vol 06 (02) ◽  
pp. 193-214 ◽  
Author(s):  
JONG-DAR YAU
Keyword(s):  
Equations Of Motion ◽  
Transformation Method ◽  
Main Beam ◽  
Moving Loads ◽  
Critical Position ◽  
Maximum Acceleration ◽  
Arch Bridge ◽  
Closed Form Solutions ◽  
Coupled Equations ◽  
Tied Arch Bridge

This paper intends to study the train-induced vibration of a parabolic tied-arch bridge using an analytical approach. The train loads over the bridge are regarded as a sequence of equidistant moving loads with identical weights. The tied-arch bridge considered is modeled as the combination of a parabolic flat-rise arch with two-hinged supports and a simple beam suspended by densely distributed vertical cables connected to the arch rib. Using the normal coordinate transformation method, the coupled equations of motion of the arch rib and suspended beam are converted into a set of uncoupled equations. Then, one can derive closed form solutions for the response of the tied-arch beam to successive moving loads, by which the resonant conditions of higher modes of the suspended beam can be identified. According to the present study, the critical position for the maximum acceleration on the suspended beam depends upon the vibration shape that has been excited. Moreover, the numerical results indicate that the lower the rise of the arch rib, the larger the acceleration response of the main beam suspended by the arch.

Bi-Directional Evolutionary Structural Optimization in Conceptual Bridge Design

2012 ◽  
Vol 256-259 ◽  
pp. 1658-1664
Author(s):  
Jian Xu ◽  
Jian Yuan Sun ◽  
Yu Long Shui
Keyword(s):  
Structural Optimization ◽  
Bridge Pier ◽  
Main Beam ◽  
Force Transmission ◽  
Bridge Design ◽  
Arch Bridge ◽  
Evolutionary Structural Optimization ◽  
Arch Bridges ◽  
Tied Arch Bridge

The principle and procedure of bi-directional evolutionary structural optimization (BESO) are stated in detail. A program based on BESO is introduced in conceptual bridge design. Topology optimizations are achieved for deck arch bridges with different rise-to-span ratios, half-through arch bridge, through tied arch bridge, bridge pier and bridge main beam. The results demonstrate rational structures with well-distributed stress and smooth force transmission, which indicates the efficient of the method.

Redistribution of Internal Force under Structural Defect and Non-Linear Spatial Stability under Live Load and Wind of Tied-Arch Bridge

2013 ◽  
Vol 477-478 ◽  
pp. 640-645
Author(s):  
Qian Hui Pu ◽  
Hu Zhao
Keyword(s):  
Safety Factor ◽  
Mechanical Performance ◽  
Influence Factors ◽  
Internal Force ◽  
Structural Defects ◽  
Live Load ◽  
Positive Contribution ◽  
Arch Bridge ◽  
Initial Defect ◽  
Tied Arch Bridge

To study the mechanical performance and stability of tied-arch bridge under structural defects and damages, limited element modal of Panzhihua Luoguo Jinshajiang Bridge was established and analyzed. Firstly, some typical damage models and their influence factors were presented. Then, based on the model established, change of suspender force caused by arch rib lineation defect, hanger lineation defect and boom failure was calculated respectively. The stability safety factor under the load group composed of dead load, live load and wind was calculated as well as the second-class nonlinear stability safety factor under structural initial defect. Calculation results shows that, suspender forces were more sensitive to archs vertical defect than to transverse defect. While, short hangers were more sensitive to lineation defect than long ones, and secondary inner force in short booms were bigger than in long ones. The result also tells that lateral wind is bad to lateral stability. Lift wind, somehow, makes positive contribution to structures in-plane stability. Structural initial defect can draw down the second-class stability safety factor under geometric nonlinear condition.

Construction Monitoring Technology Research on Large-Span V Structure Tied Arch Bridge

2013 ◽  
Vol 351-352 ◽  
pp. 1240-1243 ◽  
Author(s):  
Ting Yin ◽  
Wei Zhang ◽  
Yan Bo Zhao ◽  
Xiao Long Sun
Keyword(s):  
Actual State ◽  
Construction Process ◽  
Bridge Construction ◽  
Monitoring Point ◽  
Monitoring Technology ◽  
Construction Monitoring ◽  
Arch Bridge ◽  
Large Span ◽  
Long Span ◽  
Tied Arch Bridge

Large-span V structure tied arch bridge structure system is complex. In order to make the actual state of the bridge into the ideal state of maximum close to the design, we must make real-time monitoring in the key parts of the structure, and adjust to the design of the data by analysis calculated, to ensure the safety and reliability of arch bridge in the course of construction and into stress after the completed bridge. Combined with the construction monitoring of the main Xinglong Bridge on Si River, this paper introduces the main bridge construction process measurement a preliminary study on the large span V configuration basket tied arch bridge construction monitoring technology. Based on the construction monitoring of Xinglong Bridge on Si River, this paper introduces the main contents and methods of monitoring point location, monitoring control of construction process, and discussed the construction monitoring technology of long-span X-style tied arch bridge V structure.

scholarly journals A Modified Techniques of Fractional-Order Cauchy-Reaction Diffusion Equation via Shehu Transform

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Mounirah Areshi ◽  
A. M. Zidan ◽  
Rasool Shah ◽  
Kamsing Nonlaopon
Keyword(s):  
Fractional Order ◽  
Reaction Diffusion ◽  
Approximate Solutions ◽  
Transformation Method ◽  
Reaction Diffusion Equations ◽  
Reaction Diffusion Equation ◽  
Closed Form Solutions ◽  
Homotopy Perturbation ◽  
In Series ◽  
The Given

In this article, the iterative transformation method and homotopy perturbation transformation method are applied to calculate the solution of time-fractional Cauchy-reaction diffusion equations. In this technique, Shehu transformation is combined of the iteration and the homotopy perturbation techniques. Four examples are examined to show validation and the efficacy of the present methods. The approximate solutions achieved by the suggested methods indicate that the approach is easy to apply to the given problems. Moreover, the solution in series form has the desire rate of convergence and provides closed-form solutions. It is noted that the procedure can be modified in other directions of fractional order problems. These solutions show that the current technique is very straightforward and helpful to perform in applied sciences.

Linear Dynamics of an Elastic Beam Under Moving Loads

2000 ◽  
Vol 122 (3) ◽  
pp. 281-289 ◽  
Author(s):  
G. Visweswara Rao
Keyword(s):  
Internal Resonance ◽  
Multiple Scales ◽  
Moving Load ◽  
Mass Parameter ◽  
Equations Of Motion ◽  
Elastic Beam ◽  
Mass Effect ◽  
Moving Loads ◽  
Parameter Ratio ◽  
Load Mass

The dynamic response of an Euler-Bernoulli beam under moving loads is studied by mode superposition. The inertial effects of the moving load are included in the analysis. The time-dependent equations of motion in modal space are solved by the method of multiple scales. Instability regions of parametric resonance are identified and the moving mass effect is shown to significantly affect the transient response of the beam. Importance of modal interaction arising out of the possible internal resonance is highlighted. While the external resonance is due to the gravity effects of the moving load, the parametric and internal resonance solely depends on the load mass parameter—ratio of the moving load mass to the beam mass. Numerical results show the influence of the load inertia terms on the beam response under either a single moving load or a series of moving loads. [S0739-3717(00)01703-7]

Dynamic Effect of Tie-Bar Failure on Through Tied Arch Bridge

2020 ◽  
Vol 34 (5) ◽  
pp. 04020089
Author(s):  
Bing-hui Fan ◽  
Su-guo Wang ◽  
Bao-chun Chen
Keyword(s):  
Dynamic Effect ◽  
Arch Bridge ◽  
Tied Arch Bridge
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