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Vibration analysis and development of an ultrasonic elliptical vibration tool based on a portal frame structure
Affiliation:1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, Hong Kong Special Administrative Region;2. Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, Chicago, IL, USA;1. State Key Laboratory in Ultra-precision Machining Technology, Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hong Kong, PR China;2. School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou, PR China;1. Department of Structural Engineering, School of Civil Engineering Architecture and Urban Design, University of Campinas, Av. Albert Einstein, 951, 13083-852 Campinas, Brazil;2. CERIS, ICIST, DECivil, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisbon, Portugal;3. Structural Engineering Department, São Carlos School of Engineering, University of São Paulo, Av. Trabalhador Sãocarlense, 400, 13566-590 São Carlos, Brazil;1. School of Automation, Beijing University of Posts and Telecommunications, China;2. School of Mechanical Electrical Engineering, Beijing Information Science and Technology University, 100192, Beijing, China;1. Key Laboratory for Precision and Non-traditional Machining of Ministry of Education, Dalian University of Technology, Dalian, 116024, China;2. State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China;3. Institute of Mechanical Manufacturing Technology, China Academy of Engineering Physics, Mianyang, Sichuan, 621999, China;1. School of Mechanical and Manufacturing Engineering, The University of New South Wales, NSW 2052, Australia;2. Department of Machine Intelligence & Systems Engineering, Akita Prefectural University, 84-4 Tsuchiya-ebinokuchi, Yirihonjou, Akita 015-0055, Japan;1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China;2. Institute of Bionic and Micro-Nano Systems, Beihang University, Beijing 100191, China
Abstract:An ultrasonic elliptical vibration tool utilizing the coupled resonant vibration modes is the key component in the elliptical vibration cutting/texturing process, which has been successfully applied to ultra-precision machining and surface texturing. In this paper, an analytical approach is proposed to analyze the resonant frequency and mode shapes of the ultrasonic elliptical vibration tool. A new design of ultrasonic elliptical vibration tool based on a portal frame structure is presented and analyzed using the proposed model. The model assumes Euler-Bernoulli beams and utilizes the transfer matrix technique to reduce the order of the system to only six variables. The model can be utilized to provide a systematic approach for an optimal design and be extended to dynamic analysis of the tool for study of machine-tool dynamics. Finite element simulation results as well as experimental data based on the prototype design are presented to verify the model. An application of the proposed tool is also demonstrated in machining micro/nano-structured surfaces for structural coloration.
Keywords:Elliptical vibration texturing  Elliptical vibration tool  Coupled resonant vibration  Beam theory
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