## 1 Introduction
It ensures precise motion at the specified task positions and minimizes wear at joint interfaces to enhance durability and efficiency. However, the complexity of the dynamic model, which accounts for joint clearances, limits the applicability of this method to the optimization of mechanisms with a greater number of components. [PERSON] et al. [26] introduced an innovative topology optimization method that simultaneously accounts for both kinematic and flexibility characteristics. This approach is tested and validated using a simplified two-dimensional vehicle suspension design. In contrast, most existing linkage mechanisms demonstrate minimal flexibility effects. As a result, treating flexibility as a singular influencing factor restricts its applicability to only specific mechanisms. This limits the broader universality of design approaches. [PERSON] et al. [27] introduced a novel configuration synthesis and selection method for multi-loop serial mechanisms. This approach synthesizes basic closed-loop units utilizing conditions such as the types of fundamental units, contact points, and input-output relationships. By further weighting the adjacency matrix to assess the connectivity of the mechanisms, an entropy weighting method is employed to establish composite evaluation coefficients for assessing the quality of the configurations. While this research emphasizes the innovation of the comprehensive evaluation method, it has yet to establish an intrinsic link between mechanism performance and configuration. In existing configuration optimization processes, researchers have proposed various methods that enrich the theoretical framework of configuration synthesis for planar link ages. However, relying on a single performance metric as the optimization target lacks a holistic approach. In the design of multi-wing deployable mechanisms, it is essential to consider additional performance indicators specific to unique operating conditions, such as mechanism compactness, configuration stiffness, dynamic sensitivity, motion transferability, and the transmission efficiency of joints. Existing studies rarely incorporate these performance metrics into configuration optimization, leaving a critical gap in the field. This limitation makes it difficult to establish a quantitative relationship between configuration and multiple performance indicators. This limitation hinders a reasonable integration of diverse performance impacts. The demanding operational environment of folding wing deployment mechanisms necessitates stringent design criteria. In this context, the optimization of configurations during the design phase directly influences the characteristics of the mechanisms. Establishing a systematic configuration optimization method can significantly enhance the operational performance of multi-wing deployment mechanisms. This paper proposes a design methodology for multi-wing deployment mechanisms. The approach leverages configuration topology and a comprehensive evaluation of multiple performance indicators. It aims to facilitate the integration of performance with mechanism configurations. This research offers a novel approach to configuration optimization that considers performance while also achieving innovative designs for multi-wing deployment mechanisms in aircraft. The main contributions and innovations of this study are as follows:  
(1) We develop a quantitative expression method for various performance indicators for the design configuration of mechanisms, facilitating the integration of multiple performance metrics with the mechanism configuration. (2) Through comprehensive evaluation, we identify the optimal configuration for the multi-wing deployment mechanism and conduct simulations and experiments to verify its effectiveness. The structure of this paper is organized as follows: Section 2 specifies the topological configurations based on the requirements of the multi-wing deployment mechanism, resulting in various configurations of multi-wing deployment mechanisms.