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Vibration analysis of laminated composite plates with damage using the perturbation method
Affiliation:1. State Key Laboratory of Ocean Engineering and School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Beijing Aeronautical Science & Technology Research Institute (BASTRI), Beijing 100083, PR China;3. Department of Civil and Environmental Engineering, Washington State University, Sloan Hall 117, Pullman, WA 99164-2910, USA;1. Composites Research Institute of Tianjin Polytechnic University, Key Laboratory of Advanced Textile Composite Materials, Tianjin 300160, China;2. Composites Research Institute of Tianjin and Education Ministry, Key Laboratory of Advanced Textile Composite Materials, Tianjin 300160, China;3. P.B. 74#, East Campus, China Agricultural University, Beijing 100083, China;4. School of Textiles, Tianjin Polytechnic University, Tianjin 300387, China;5. Department of the Management and Construction of Teaching Resources, Tianjin Radio & TV University, Tianjin, China;1. Department of Civil Engineering, SRES’s College of Engineering, Savitribai Phule Pune University, Kopargaon 423601, Maharashtra, India;2. Department of Applied Mechanics, Government College of Engineering, Karad 415124, Maharashtra, India;1. Airworthiness Certification Team, Defense Agency for Technology and Quality, Seoul 130-650, Republic of Korea;2. Department of Mechanical Engineering, Kyung Hee University, Yongin 446-701, Republic of Korea;3. Department of Chemistry, Inha University, Incheon 402-751, Republic of Korea;4. Department of Mechanical Engineering, University of New Orleans, LA 70148, USA;1. State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084, China;2. Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and Control, Beijing, 100084, China;3. Division of Advanced Manufacturing, Graduate School at Shenzhen, Tsinghua University, Shenzhen, 518055, China;1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001, PR China;2. College of Mechanical and Electrical Engineering, Central South University, Changsha, 410000, PR China;3. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, PR China
Abstract:The present work focuses on vibration characteristics of damaged laminated composite plates. Damage is considered as a local reduction of anisotropic plate stiffness, and three damage factors (representing the damage severity, damage anisotropy, and damage location/area, respectively) are defined to describe damage status in the laminated composite plates. The analytical solutions are obtained by the perturbation method. A numerical analysis is conducted on the vibration of damaged laminated composited plates, and the effect of damage factors on the vibration characteristics is discussed. Results indicate that three damage factors have different influences on the vibration characteristics. Also, the modal curvatures and strain energy show higher damage sensitivity than the natural frequencies and displacement mode shapes. The perturbation-based vibration analysis developed in this study can be used to effectively evaluate the effect of damage on the vibration behavior of anisotropic plates and potentially identify the damage in the laminated plates.
Keywords:A  Laminates  B  Delamination  B  Vibration  C  Analytical modeling  Perturbation methods
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