The Natural Frequency Calculation Method of Simply-Supported Beam in the Sunshine Temperature Field

2013 ◽  
Vol 394 ◽  
pp. 364-367
Author(s):  
Yong Chun Cheng ◽  
Yu Ping Shi ◽  
Guo Jin Tan
Keyword(s):  
Temperature Field ◽  
Calculation Method ◽  
Natural Frequencies ◽  
Bernoulli Model ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Frequency Calculation ◽  
Natural Frequency Calculation ◽  
Beam Bridge ◽  
T Beam

The related researches show that , the sunshine temperature field can cause the changes of the natural frequencies of the simply-supported beam. In order to recover the influence law of the temperature field on the natural frequencies, the calculation method of the natural frequencies of the simply-supported beam bridge is formed. First, according to the principles of stress equivalence, transform the sunshine temperature field to the partiality axis forces. Based on the Bernoulli model, the calculation method of the natural frequencies of the simply-supported beam under the partiality axis forces at both ends is formed. At last, take one simply-supported T beam as the object of numerical modeling and verify the validity and the reliability of this method.

Research on the Natural Frequency Solving Method of the Simply Supported Beam Bridge with Cracks

2013 ◽  
Vol 437 ◽  
pp. 51-55
Author(s):  
Ping Yi Sun ◽  
Yan Hua Wang ◽  
Han Bing Liu ◽  
Guo Jin Tan
Keyword(s):  
Natural Frequency ◽  
Natural Frequencies ◽  
Beam Model ◽  
Euler Beam ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Solution Methods ◽  
Element Approach ◽  
Experimental Values ◽  
Beam Bridge

Two kinds of natural frequency solution methods for the simply supported beam bridge with cracks are presented respectively based on the Bernoulli-Euler beam model and the finite element approach. Multiple groups of crack damages are supposed on the experimental simply supported steel I-beam, and the natural frequencies of the experimental beam are measured in all the crack cases. By comparing the calculated natural frequencies respectively obtained by the above two methods with the experimental values, the characteristics of the two kinds of natural frequency solving methods are evaluated.

Damage Identification Method of Simply Supported Beam Bridge with Multiple Girders

2013 ◽  
Vol 437 ◽  
pp. 377-381
Author(s):  
Ping Yi Sun ◽  
Yan Hua Wang ◽  
Yan Feng Niu ◽  
Han Bing Liu ◽  
Guo Jin Tan
Keyword(s):  
Numerical Simulation ◽  
Damage Identification ◽  
Identification Algorithm ◽  
Damage State ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Svm Algorithm ◽  
Damage Extent ◽  
Beam Bridge ◽  
T Beam

Considering the complexity of the simply supported beam with multiple girders, a two-step damage identification algorithm for this kind of bridge is presented. This algorithm first locates the damage by means of curvature of flexibility change, and then utilizes the PSO-SVM algorithm to identify the damage extent. At last, a numerical simulation calculation is conducted to identify the damage state of a simply supported T-beam bridge with five girders. The numerical simulation results show that the algorithm proposed is valid, reliable and with high recognition precision.

scholarly journals The Vibration of Simply Supported Non-Uniform Cross Sectional Pipe Conveying Fluid Resting on Viscoelastic Foundation

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Natural Frequencies ◽  
Flexural Vibration ◽  
Bernoulli Model ◽  
Viscoelastic Foundation ◽  
Cross Sectional ◽  
Flowing Fluid ◽  
Simply Supported ◽  
Critical Velocities ◽  
Stiffness And Damping ◽  
The Mathematical Model

The induced flexural vibration of slender pipe systems with continuous non uniform cross sectional area containing laminar flowing fluid lying on extended Winkler viscoelastic foundation is considered. The Euler Bernoulli model of the pipe has hinged ends. The inlet flow is considered constant steady that interacts with the wall of the pipe. The mathematical model is developed and its corresponding solution is obtained. The influence of the combination of variation of cross section, foundation stiffness and damping on the critical velocities, complex natural frequencies and stabilization of the system is presented.

scholarly journals Seismic Collapse Analysis of RC Highway Bridges Based on a Simplified Multiscale FE Modeling Approach

2017 ◽  
Vol 2017 ◽  
pp. 1-19
Author(s):  
Menghan Hu ◽  
Qiang Han ◽  
Xiuli Du ◽  
Xiao Liang
Keyword(s):  
Computational Efficiency ◽  
Highway Bridges ◽  
Multiscale Model ◽  
Fe Modeling ◽  
Simply Supported Beam ◽  
Shell Elements ◽  
Simply Supported ◽  
Beam Elements ◽  
Seismic Collapse ◽  
Beam Bridge

Multiscale finite element (FE) modeling offers a balance between computational efficiency and accuracy in numerical simulations, which is appropriate for analysis of seismic collapse of RC highway bridges. Some parts of structures that need detailed analysis can be modeled by solid elements, while some subordinate parts can be simulated by beam elements or shell elements to increase the computational efficiency. In the present study, rigid surface coupling method was developed to couple beam elements with solid elements using the LS-DYNA software. The effectiveness of this method was verified by performing simulation experiments of both a single-column pier and a two-span simply supported beam bridge. Using simplified multiscale FE modeling, analyses of collapse and local failure of a multispan simply supported beam bridge and a continuous rigid frame bridge were conducted to illustrate the approach in this paper. The results demonstrate that the simplified multiscale model reasonably simulates the collapse process and local damage of complex bridges under seismic loading.

The Application of E Shaped Steel Bearing on the Simply Supported Beam Bridge

2011 ◽  
Vol 90-93 ◽  
pp. 3141-3144
Author(s):  
Ling Jun Kong ◽  
Yan Bei Chen ◽  
Jun Liu ◽  
Qi Bin Jiang
Keyword(s):  
Computational Models ◽  
Time History ◽  
Earthquake Response ◽  
Bending Moments ◽  
Shear Forces ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Related Data ◽  
Nonlinear Time History ◽  
Beam Bridge

To study the application of E shaped steel bearing on the simply supported beam bridge, the Xinhua bridge is analyzed by the nonlinear time-history method and the Midas/Civil software, considering the interaction between pile and soil. The related data are obtained through two computational models. And the data are compared in this paper. The results show that the bending moments and shear forces of the bottom of the fixed pier are reduced, due to using the E shaped steel bearing at the fixed pier. The E shaped steel bearing dissipates the earthquake energy and reduces the earthquake response of the bridge.

scholarly journals Vibration Analysis of Reinforced Concrete Simply Supported Beam versus Variation Temperature

2017 ◽  
Vol 2017 ◽  
pp. 1-20 ◽  
Author(s):  
Hanbing Liu ◽  
Hua Wang ◽  
Guojin Tan ◽  
Ziyu Liu ◽  
Yongchun Cheng
Keyword(s):  
Calculation Method ◽  
Great Influence ◽  
Effect Of Temperature ◽  
Monitoring Methods ◽  
Test Beam ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Modal Characteristics ◽  
Statistical Mathematics ◽  
The Relationship

It is well known that temperature has great influence on modal characteristics of bridges. The relationship between them has been studied by using statistical mathematics, numerical analysis, and field’s monitoring methods, which have relatively narrow applicability. Therefore, it is necessary to analyze their relationship theoretically. In this paper, the relationship between temperature and modal characteristics of the simply supported beam is investigated based on theoretical calculation method. Firstly, the temperature field is analyzed to find out the main factors that lead to the changes of modal characteristics. Secondly, the dynamic equations of simply supported beam under the effect of temperature are established. Next, a test beam is constructed to validate the proposed calculation method experimentally. The calculated results are in good agreement with those from the experiment. Finally, the proposed method is successfully applied to real engineering.

Stress Monitoring for the Whole Construction Process of Simply Supported to Continuous T-Beam Bridge

2011 ◽  
Vol 71-78 ◽  
pp. 3954-3957
Author(s):  
Wu Yang ◽  
Wen Juan Yao ◽  
Xiao Yu Liu
Keyword(s):  
Theoretical Calculations ◽  
Continuous System ◽  
Stress Change ◽  
Construction Process ◽  
Stress Monitoring ◽  
Simply Supported ◽  
Stress Changes ◽  
Negative Moment ◽  
Beam Bridge ◽  
T Beam

In order to research on the stress change and influencing factor of whole construction process of simply supported to Continuous system T-beam bridge, combined with Guizhou Bai-long bridge, the stress change is carried out the real time inspection in each construction stage, and the finite element model is established to analyse Stress changes in whole construction process. The monitoring value is ​​more consistent with the theoretical value in each stage , monitoring dates and theoretical calculations showed that pre-stressed is the main factor of stress changes in construction process.Pre-stressed tension in negative moment region has obvious influence on the stress of middle span, the stress of top and bottom plates in wet joints will be equivalent after tendons tension in negative moment Region.

Bounds for the Natural Frequencies of a Simply Supported beam Carrying a Uniformly Distributed Axial Load

1967 ◽  
Vol 9 (2) ◽  
pp. 149-156 ◽  
Author(s):  
G. Fauconneau ◽  
W. M. Laird
Keyword(s):  
Lower Bounds ◽  
Axial Load ◽  
Natural Frequencies ◽  
Ritz Method ◽  
Upper Bounds ◽  
Upper And Lower Bounds ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Distributed Load ◽  
Made In

Upper and lower bounds for the eigenvalues of uniform simply supported beams carrying uniformly distributed axial load and constant end load are obtained. The upper bounds were calculated by the Rayleigh-Ritz method, and the lower bounds by a method due to Bazley and Fox. Some results are given in terms of two loading parameters. In most cases the gap between the bounds over their average is less than 1 per cent, except for values of the loading parameters corresponding to the beam near buckling. The results are compared with the eigenvalues of the same beam carrying half of the distributed load lumped at each end. The errors made in the lumping process are very large when the distributed load and the end load are of opposite signs. The results also indicate that the Rayleigh-Ritz upper bounds computed with the eigenfunctions of the unloaded beam as co-ordinate functions are quite accurate.

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