## 1 Introduction  
At 1:13 a.m. on 9 August 2021, a sea vessel loaded with sand sailed from Caofeidian to Changxing Island, Shanghai. During the berthing process, it made contact with Changxing Island, impacting the Weizhong wharf. This collision resulted in the structural collapse of the western side of the wharf and caused approximately 50 m of damage to the berth. Figure 1 depicts the scene of the ship's collision with the dock. The incident led to the suspension of dock operations and required extensive repairs and reinforcements lasting up to six months, resulting in significant economic losses. Additionally, the wharf crane plunged into the river. The collision between the ship and the wharf represents a complex and dynamic response process, characterized by a short duration and a significant application of force under the influence of a severe impact load. The collision zone of the wharf experiences significant stress and strain, resulting in substantial deformation energy, which subsequently impacts the entire wharf. Especially during the extended use of these wharfs, the foundation piles have often sustained damage due to ship collisions, wind and wave forces, the deterioration of concrete materials, and the effects of natural environmental erosion [1; 2; 3; 4; 5; 6]. Ship impacts, being the primary source of loading for high-piled wharfs, exert a significant influence on the durability of their use. Hence, it is imperative to conduct research and predictions concerning ship impact damage on high-piled wharfs, thereby offering a more substantial theoretical foundation for actual collision incidents [7; 8; 9; 10]. A study on the synchronous mechanical response of steel-concrete structures under lateral impact loads using modal analysis and dynamic response analysis was conducted by [PERSON] et al. [11]. Reducing the local stiffness of the load points was found to enhance the stress distribution of the overall structure. [PERSON] et al. [12] investigated model experiments to investigate the dynamic response and damage model of underwater explosions on high-piled wharfs. An empirical impact load model suitable for high-piled wharf structures was proposed, and the load characteristics and time history associated with various explosion conditions were summarized. The model experiments were conducted to investigate the damage characteristics and assessment methods for the transverse bending frame of a high-piled wharf under impact loads. The results revealed that the frame damage exhibited three distinct stages, with the degree of damage reflecting the structural health condition [13]. [PERSON] et al. [14] investigated the dynamic response of a high-piled wharf under wave and ship berthing collisions through wave flume experiments. The research revealed that berthing collisions resulted in a reduction in pile burial depth, significantly altering the wharf's dynamic response. Modeling and analysis of the dynamic response of ships colliding with a high-piled wharf were conducted. The results indicated that the rear inclined pile experienced compression, while the front inclined pile underwent tension [15]. Additionally, an increase in impact speed, angle, and ship tonnage led to an amplified dynamic response of the high-piled wharf. Research has indicated that the installation of inclined piles for high-piled wharves [16; 17] and improvements in wharf structural materials [18] contribute to enhancing the horizontal load-bearing capacity of the wharf. In structural damage analysis, varying damage models and methods lead to significant differences in overall damage indices. Deterministic methods provide rapid assessments but overlook uncertainties, while stochastic methods offer a more comprehensive approach, albeit with increased computational complexity. Single-parameter models often fail to accurately assess damage, whereas dual-parameter models enhance precision.