Natural Frequencies of Horizontally Curved Beams

Culver, Charles G.

doi:10.1061/jsdeag.0001641

“…Christiano and Culver (1969) formulated the differential equations governing the free vibration of a single span curved beam which resulted in a cubic equation. The first two roots of the equation, representing the coupled natural frequencies of a doubly-symmetric curved member, were the same as those predicted by Culver's equation in his earlier study (Culver, 1967); however, the third root which was not considered in the previous study represented the fundamental lateral frequency. The frequencies predicted for the doubly-symmetric curved member are analogous to the vibration of straight beams of unsymmetrical cross section.…”

Section: Free-vibration Studiessupporting

confidence: 61%

Free Vibration Analysis Of Horizontally Curved Composite Concrete Deck Over Steel I-Girder Bridges

Wodzinowski¹

2021

Preprint

0

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Curved composite I-girder bridges provide an excellent solution to problems of urban congestion, traffic and pollution, but their behavior is quite complex due to the coupled bending and torsion response of the bridges. Moreover, dynamic behavior of curved bridges further complicates the problem. The majority of curved bridges today are designed using complex analytical methods; therefore, a clear need exists for simplified design methods in the form of empirical equations for the structural design parameters. In this thesis paper, a sensitivity study is conducted to examine the effect of various design parameters on the free-vibration response of curved composite I-girder bridges. To determine their fundamental frequency and corresponding mode shape an extensive parametric study is conducted on 336 straight and curved bridges. From the results of the parametric study, simple-to-use equations are developed to predict the fundamental frequency of curved composite I-girder bridges. It is shown that the developed equations are equally applicable to curved simply supported and composite multi-span bridges with equal span lengths.

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“…al. (2006) compared the analytical solution of the equations of motion derived in the previous study to the frequencies predicted in previous studies by Culver (1967) and Shore and Chaudhuri (1972) . In the latter two studies, the curved beam elements used were formulated based on Vlasov's theory.…”

Section: Free-vibration Studiesmentioning

confidence: 99%

“…In 1967, an exact solution to the governing differential equations for free vibration of doubly-symmetric horizontally curved beams on simple supports was presented by (Culver, 1967). The equation was equally applicable to straight bridges by letting the radius of curvature approach infinity.…”

Section: Free-vibration Studiesmentioning

confidence: 99%

Free Vibration Analysis Of Horizontally Curved Composite Concrete Deck Over Steel I-Girder Bridges

Wodzinowski¹

2021

Preprint

0

View full text Add to dashboard Cite

Curved composite I-girder bridges provide an excellent solution to problems of urban congestion, traffic and pollution, but their behavior is quite complex due to the coupled bending and torsion response of the bridges. Moreover, dynamic behavior of curved bridges further complicates the problem. The majority of curved bridges today are designed using complex analytical methods; therefore, a clear need exists for simplified design methods in the form of empirical equations for the structural design parameters. In this thesis paper, a sensitivity study is conducted to examine the effect of various design parameters on the free-vibration response of curved composite I-girder bridges. To determine their fundamental frequency and corresponding mode shape an extensive parametric study is conducted on 336 straight and curved bridges. From the results of the parametric study, simple-to-use equations are developed to predict the fundamental frequency of curved composite I-girder bridges. It is shown that the developed equations are equally applicable to curved simply supported and composite multi-span bridges with equal span lengths.

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“…Due to the irregularities of the flat curved bridge, it may lead to the bend torsion coupling seismic and therefore the seismic shock analysis will be relatively complex [1] - [3] . With the development of the extensive use of isolation techniques in engineering structures, the simplified analysis of curved bridge isolated structure has attracted the attention of researchers.…”

mentioning

confidence: 99%

The Simplified Model and the Critical Angle of the Curved Bridges with Multi-Dimensional Earthquake Excitation

Li¹,

Du²

2014

AMR

0

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The existing methods of curve beam bridge is the finite element method, the modeling and analysis of complex, heavy workload, not suitable for the proposed design method of regularity. According to the character of curved bridge, the bridge superstructure and piers is simplified as packing quality model that have two levels of degrees of freedom and a surrounding mass center shaft torsion degree of freedom, then the analysis model of double mass simplified 6 degrees of freedom is established, studying the dynamic characteristics and the structure vibration behavior through the dynamics equation of curved bridges. Example show that,the results of double mass model with the traditional of finite element model is consistent, double mass model has simple calculation method and can consider the influence of sensitive factors, with the help of programming is more suitable for the proposed design method of regularity. At last, Application MATLAB programming discussed the critical angle of the curved bridges under multi-dimensional earthquake based on double mass model, after change the curve bridge related parameters only one operation can achieve the most disadvantaged angle.

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Natural Frequencies of Horizontally Curved Beams

Cited by 24 publications

References 0 publications

Free Vibration Analysis Of Horizontally Curved Composite Concrete Deck Over Steel I-Girder Bridges

Free Vibration Analysis Of Horizontally Curved Composite Concrete Deck Over Steel I-Girder Bridges

Free Vibration Analysis Of Horizontally Curved Composite Concrete Deck Over Steel I-Girder Bridges

The Simplified Model and the Critical Angle of the Curved Bridges with Multi-Dimensional Earthquake Excitation

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