## 1 Introduction  
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. In comparison with the composite box girder bridge with general steel web (CBGGSW), the CBGCSW has some obvious advantages: higher prestressing efficiency, fatigue and seismic resistance, and local bearing capacity; less affected by the shrinkage and creep of the concrete slabs; lower mass and project cost; shorter construction period; and so forth. Since the completion of the first CBGCSW, this beam structure has attracted great attention from researchers and engineers [1]. Based on the early studies on the shear mode and bending mode of vertically trapezoidal corrugated webs, two significant findings were confirmed: the buckling of the web was local and global for dense and coarse corrugation, and the corrugated web could be ignored in beam-bending studies because of its insignificant influence on the load-carrying capability of the whole beam [2]. [PERSON] et al. [3] drew similar conclusions based on finite-element analyses and laboratory tests, and proposed the formula for effective shear modulus. These were found to be agreeable in the investigation by [PERSON] [4]. [PERSON] et al. [5] studied the performance of plate girders with trapezoidally corrugated web subjected to fatigue loading, and an analysis technique based on fracture mechanics used to research the fatigue life of girders with corrugated web steel was proposed. [PERSON] [6] investigated the behavior of mild steel structural beams with corrugated webs under three-point bending, and determined the corrugation direction and the contribution of corrugated web to the load-carrying capability of the beam. [PERSON] et al. [7] described the bending behavior of a corrugated web as the \"accordion effect\", and an important effect of the corrugation profile on the axial stress distribution in such webs was investigated. [PERSON] et al. [8; 9] proposed an approximate method to the estimate the accordion effect and verified that the prestressing efficiency of steel beams with a conventional web grew less obviously than that of steel beams with a corrugated web. Based on previous investigation, 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]. The stress distribution in the flanges was investigated by [PERSON] et al. [14], and an enhanced method to obtain the transverse bending moment and the additional normal stresses was proposed. The actual behavior at the connection between the flanges and corrugated webs was studied by [PERSON] et al. [15; 16]; the valid design of shear strengths in previous studies was improved, and an enhanced formula for interactive shear buckling strengths was proposed for the case of fixed connection. With widespread application of high-strength steels, the performance of steel beams with corrugated web plates built with high-strength steels was studied. [PERSON] 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 [PERSON] [18] investigated the influence of the corrugated web on the lateral torsional buckling strength of wavy webs. In recent years, the shear lag effect has been the subject of intense scholarly research [19], and [PERSON] [20] proposed a simple approach for forecasting the deflection of a CBGCSW by taking shear lag effect into consideration. Since most of the studies on CBGCSWs have focused on their static properties, particularly the bending resistance and shear resistance, there have been few studies on their dynamic characteristics.