Abstract
This study proposed a dynamic characteristic analytical method (ANM) of a composite box girder bridge with corrugated steel web (CBGCSW) by completely considering the impact of shear lag effect and accordion effect of corrugated steel webs. Based on energy principles and variational principles, a vibration differential equation and the natural boundary conditions of a CBGCSW were developed. The analytical calculation formula for solving the vibration differential equation was then obtained. The results calculated using the ANM agreed well with previous experimental results, which validated the correctness of ANM. To demonstrate the superiority of the ANM, the vibration frequencies of several abstract CBGCSWs with varying ratios of span–width, obtained using the elementary beam theory (EBT) and the finite element method (FEM), were compared with those obtained by ANM. The efficacy of the ANM was verified and some meaningful conclusions were drawn which are helpful to relevant engineering design, such as the observation that a higher natural vibration frequency and smaller span–width ratio significantly magnified the shear lag effect of CBGCSW. The first five-order natural vibration frequencies of the CBGCSW were significantly lower than those of the composite box girder bridge with general steel web (CBGGSW), which indicates that the impact of the accordion effect is significant.
Highlights
Composite box girder bridges with corrugated steel web (CBGCSW) are widely used in China, but there have been few studies on their dynamic characteristics considering multiple factors
This indicated that, after completely taking the shear lag effect and accordion effect of corrugated steel webs, the results obtained by the analytical method (ANM) agreed well with those of the finite element method (FEM) and were more accurate than the elementary beam theory (EBT)
By comparing the natural vibration frequencies calculated by the ANM with those obtained by other methods, the correctness of the ANM and the rationality of the model simplifications were verified
Summary
Composite box girder bridges with corrugated steel web (CBGCSW) are widely used in China, but there have been few studies on their dynamic characteristics considering multiple factors. The shear buckling behavior of corrugated webs was studied in detail, and the methods proposed in these studies provide good predictions [10,11,12,13]. Moon et al [17] proposed estimated approaches for obtaining the warping constant and determining the shear center of I-girders with corrugated web subjected to uniform bending, and Ibrahim [18] investigated the influence of the corrugated web on the lateral torsional buckling strength of wavy webs. In this study, based on energy principles and variational principles and by completely considering the impact of shear lag effect and the accordion effect of corrugated steel webs, an analytical method that can determine the natural vibration characteristics of a CBGCSW was developed. The CBGCSW natural vibration characteristics formulas derived in this study are further developments of those applied in earlier theories
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