如果一篇关于模态局部化的论文的创新点是用耦合莫理论分析并且实验用半频激励法请帮我写这篇文章的introduction

Introduction:

In recent years, modal localization has emerged as a promising technique for understanding the dynamic behavior of complex structures. It involves identifying and characterizing the dominant modes of vibration in a system, which can provide valuable insights into various engineering applications such as structural health monitoring, condition assessment, and vibration control. Traditional modal analysis techniques, such as the frequency response function (FRF) method and the modal assurance criterion (MAC), have been widely used to study modal localization.

However, there are still challenges in accurately determining the modal properties of structures, especially in the presence of uncertainties and nonlinearity. To address these challenges, this paper proposes a novel approach for modal localization using coupled mode theory analysis. Coupled mode theory is a powerful analytical tool that can capture the interactions and energy transfer between different modal components in a coupled system. By incorporating this theory into the modal localization process, we can better understand the complex modal interactions and accurately identify the localized modes in a structure.

Furthermore, to validate the effectiveness of the proposed approach, experimental investigations are conducted using the semi-force excitation method. The semi-force excitation method is a practical technique for exciting multiple modes simultaneously, which allows for a comprehensive analysis of the modal properties of a structure. By comparing the experimental results with the theoretical predictions obtained from the coupled mode theory analysis, we can evaluate the accuracy and reliability of the proposed approach.

The main objective of this paper is to present the theoretical framework and experimental setup for the modal localization using coupled mode theory analysis and the semi-force excitation method. The rest of the paper is organized as follows: Section 2 provides a brief overview of the existing modal analysis techniques and their limitations. Section 3 introduces the concept of coupled mode theory and its application in modal localization. Section 4 discusses the experimental setup and procedures for the semi-force excitation method. Section 5 presents the results and analysis of the experimental investigations. Finally, Section 6 concludes the paper and discusses future research directions.

In summary, this paper presents a novel approach for modal localization using coupled mode theory analysis and experimental investigations using the semi-force excitation method. The proposed approach aims to overcome the limitations of traditional modal analysis techniques and provide a more accurate and comprehensive understanding of the modal properties of complex structures