Tham khảo tài liệu 'advances in vibration analysis research part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 5 Independent Coordinate Coupling Method for Free Vibration Analysis of a Plate With Holes Moon Kyu Kwak and Seok Heo Dongguk University Republic of Korea 1. Introduction A rectangular plate with a rectangular or a circular hole has been widely used as a substructure for ship airplane and plant. Uniform circular and annular plates have been also widely used as structural components for various industrial applications and their dynamic behaviors can be described by exact solutions. However the vibration characteristics of a circular plate with an eccentric circular hole cannot be analyzed easily. The vibration characteristics of a rectangular plate with a hole can be solved by either the Rayleigh-Ritz method or the finite element method. The Rayleigh-Ritz method is an effective method when the rectangular plate has a rectangular hole. However it cannot be easily applied to the case of a rectangular plate with a circular hole since the admissible functions for the rectangular hole domain do not permit closed-form integrals. The finite element method is a versatile tool for structural vibration analysis and therefore can be applied to any of the cases mentioned above. But it does not permit qualitative analysis and requires enormous computational time. Tremendous amount of research has been carried out on the free vibration of various problems involving various shape and method. Monahan et al. 1970 applied the finite element method to a clamped rectangular plate with a rectangular hole and verified the numerical results by experiments. Paramasivam 1973 used the finite difference method for a simply-supported and clamped rectangular plate with a rectangular hole. There are many research works concerning plate with a single hole but a few work on plate with multiple holes. Aksu and Ali 1976 also used the finite difference method to analyze a rectangular plate with more than two holes. Rajamani and Prabhakaran 1977 assumed that the effect of a hole is equivalent to an .
