## 1 Introduction
They [16; 17; 18; 19; 20] primarily focused on the buckling of stiffened plates under compressive loads, with the objective of ensuring the similarity of key parameters during the buckling process. Additionally, when stiffened plates are subjected to lateral impacts, the additional common types of distortion encountered pertain to sole distortion, such as the plate thickness [21; 22; 23], and complex distortion, such as stiffener configurations [24; 25], which are frequently constrained owing to the substantial overall scaling factor in thin-walled shipbuilding model tests, as Figure 1 illustrates. The thin-walled shipbuilding structure, characterized by its considerable size, requires a significant overall scaling factor (\(\beta\)) to obtain a specimen in model testing. Consequently, the scaled model's plate thickness and stiffener spacing are significantly reduced, leading to a distortion of plate thickness (\(\beta<\beta_{hp}\)) and the compromise approach of replacing T-type stiffeners with flat bars. These similarity requirements often encounter challenges to the same plate thickness and stiffener configurations, owing to limitations in achievable part sizes [11]. [PERSON] and [PERSON] [11] proposed a method using the corrected impact velocity to address the geometric distortion that arises between a prototype and its scaled model that are composed of the same material. To account for geometric distortion based on previous work on the strain rate effect, they introduced a corrected impact velocity factor using an exponential function of the scaling factor \(\beta\) and the involved distortion-related factor with an exponent \(n_{V}\). On the basis of the VSG dimensionless system, [PERSON] [10] introduced a scaling factor \(\beta_{S}\), relating to the static moment for structural cross-sections, to account for geometric distortion, leading to a corrected velocity scaling factor. This approach focuses on the geometric distortions to the plate thickness of the attached plate during impact. [PERSON] et al. [21] introduced an empirical similarity method, which offers an empirical approach to establishing dependable correlations between prototypes and scaled models. This method addresses two common types of distortions: geometric and material. [PERSON] and [PERSON] [22] proposed a novel approach to address the small thickness distortions in beams and plates by introducing a new expression for calculating the corrected impact velocity. This expression is based on a dimensionless parameter, the plastic bending moment M\({}_{0}\), to effectively compensate for small thickness distortions. Based on the correction approach proposed by [PERSON] and [PERSON] [11; 14], [PERSON] et al. [23] established a similar procedure to address incomplete scaled-down plates distorted in a single dimension, and developed a rapid solution to determine the significant exponent \(n_{V}\). Furthermore, in their subsequent work, [PERSON] et al. [24] extended the corrected similarity relationship to account for the additional distortions encountered in prototype stiffened plates and scaled-down models subjected to blast loads. These distortions involved variations in the plate thickness and stiffener configuration relative to the prototype. [PERSON] et al. [25] underscored the significance of stiffener dimensions during impact and proposed a technique for a stiffened plate with distorted flat bar stiffeners, in which an equivalent plate thickness is utilized to substitute for the stiffeners. With the help of this equivalent plate thickness, they derived a similarity law based on the DLV dimensionless system [26] that accounts for the distorted stiffener dimensions. Although numerical simulation investigations indicate that a scaled model with distorted flat bar stiffeners can predict the responses of the prototype, the focus was on a single type of stiffener, neglecting the deviation of different configurations on dominant behaviors during impact.